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Name: ________________________ Class: ___________________ Date: __________
ID: C
Final Exam- Review Fall Semester
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Based on the pattern, what are the next two terms
of the sequence?
4, 12, 20, 28, . . .
a. 36, 44
b. 224, 1792
c. 44, 52
d. 36, 1792
3. Find a counterexample to show that the conjecture
is false.
Conjecture: The product of two positive numbers is
greater than the sum of the two numbers.
a. 3 and 5
b. 2 and 2
c. A counterexample exists, but it is not shown
above.
d. There is no counterexample. The conjecture is
true.
2. Based on the pattern, what is the next figure in the
sequence?
a.
b.
c.
d.
4. Are E, F, and H collinear? If so, name the line on which they lie.
a.
b.
c.
d.
Yes, they lie on the line EG.
No, the three points are not collinear.
Yes, they lie on the line EH.
Yes, they lie on the line FH.
1
Name: ________________________
ID: C
8. ∠1 and ∠2 are supplementary angles.
m∠1 = x − 36, and m∠2 = x + 60. Find the measure
of each angle.
a. ∠1 = 78, ∠2 = 102
b. ∠1 = 78, ∠2 = 112
c. ∠1 = 42, ∠2 = 148
d. ∠1 = 42, ∠2 = 138
5. What is the intersection of plane XWST and plane
ZWSV ?
9. Find the distance between points P(3, 6) and Q(2,
1) to the nearest tenth.
a. 5.1
b. 26
c. 8.6
d. 6
←

→
a.
ST
←

→
b.
VZ
10. Find the midpoint of PQ.
←

→
c.
TX
←
→
d.
SW
6. If EF = 3x − 14, FG = 4x − 15, and EG = 20, find
the values of x, EF, and FG. The drawing is not to
scale.
a.
b.
c.
d.
x = 1, EF = –11, FG = –11
x = 1, EF = 7, FG = 13
x = 7, EF = 35, FG = 43
x = 7, EF = 7, FG = 13
7. If m∠EOF = 37 and m∠FOG = 33, then what is
the measure of ∠EOG? The diagram is not to scale.
a.
b.
c.
d.
a.
b.
c.
d.
(–1, 2)
(0, 3)
(–1, 3)
(0, 2)
11. M(6, 3) is the midpoint of RS . The coordinates of S
are (10, 5). What are the coordinates of R?
a. (14, 7)
b. (2, 1)
c. (12, 6)
d. (8, 4)
4
74
70
66
2
Name: ________________________
ID: C
13. If the perimeter of a square is 108 inches, what is
its area?
a. 27 in. 2
b. 11,664 in. 2
c. 729 in. 2
d. 108 in. 2
12. Find the circumference of the circle to the nearest
tenth.Use 3.14 for π.
a.
b.
c.
d.
14. Another name for an if-then statement is a ____.
Every conditional has two parts. The part following
if is the ____ and the part following then is the
____.
a. conditional; conclusion; hypothesis
b. hypothesis; conclusion; conditional
c. conditional; hypothesis; conclusion
d. hypothesis; conditional; conclusion
226.1 m
1017.4 m
113 m
56.5 m
15. What is the conclusion of the following conditional?
A number is divisible by 5 if the number ends with digits 0 or 5.
a. If a number ends with the digit 0 or 5, then the number is divisible by 5.
b. The number ends with digits 0 or 5.
c. The number is divisible by 5.
d. The number is odd.
17. Which statement provides a counterexample to the
following faulty definition?
A square is a figure with four congruent sides.
a. A six-sided figure can have four sides
congruent.
b. Some triangles have all sides congruent.
c. A square has four congruent angles.
d. A rectangle has four sides.
16. Write the two conditional statements that make up
the following biconditional.
I drink juice if and only if it is breakfast time.
a. I drink juice if and only if it is breakfast time.
It is breakfast time if and only if I drink juice.
b. If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.
c. If I drink juice, then it is breakfast time.
I drink juice only if it is breakfast time.
d. I drink juice.
It is breakfast time.
Use the given property to complete the statement.
18. Transitive Property of Congruence
If YZ ≅ WX and WX ≅ UV , then ______.
a. WX ≅ UV
b. WX ≅ WX
c. YZ ≅ UV
d. YZ ≅ WX
3
Name: ________________________
ID: C
22. Which lines, if any, can you conclude are parallel
given that m∠1 + m∠2 = 180? Justify your
conclusion with a theorem or postulate.
19. Find the value of x.
a.
b.
c.
d.
a.
19
33
–19
147
b.
c.
20. Which angles are corresponding angles?
d.
a.
b.
c.
d.
∠6 and ∠14
∠5 and ∠6
∠2 and ∠6
none of these
21. Complete the statement. If a transversal intersects
two parallel lines, then ____ angles are
supplementary.
a. acute
b. alternate interior
c. same-side interior
d. corresponding
4
j Ä k , by the Converse of the Same-Side
Interior Angles Theorem
j Ä k , by the Converse of the Alternate
Interior Angles Theorem
g Ä h , by the Converse of the Alternate
Interior Angles Theorem
g Ä h , by the Converse of the Same-Side
Interior Angles Theorem
Name: ________________________
ID: C
23. Which figure is a convex polygon?
25. How many sides does a regular polygon have if
each exterior angle measures 24?
a. 15 sides
b. 17 sides
c. 18 sides
d. 14 sides
a.
b.
26. The Polygon Angle-Sum Theorem states: The sum
of the measures of the angles of an n-gon is ____.
n−2
a.
180
b. (n − 1)180
180
c.
n−1
d. (n − 2)180
c.
27. Complete this statement. The sum of the measures
of the exterior angles of an n-gon, one at each
vertex, is ____.
a. (n – 2)180
b. 360
(n − 2)180
c.
n
d. 180n
d.
28. Complete this statement. A polygon whose sides all
have the same length is said to be ____.
a. regular
b. equilateral
c. equiangular
d. convex
24. Classify the polygon by its sides.
29. Write an equation in point-slope form of the line
through point J(–1, 1) with slope –3.
a. y − 1 = −3 (x + 1 )
b. y − 1 = 3 (x + 1 )
c. y + 1 = −3 (x − 1 )
d. y − 1 = −3 (x − 1 )
a.
b.
c.
d.
octagon
hexagon
triangle
pentagon
5
Name: ________________________
ID: C
30. Is the line through points P(3, 1) and Q(–4, –9) parallel to the line through points R(0, 5) and S(–5, –3)? Explain.
a. Yes; the lines have equal slopes.
b. No, one line has slope, the other has no slope.
c. Yes; the lines are both vertical.
d. No, the lines have unequal slopes.
31. Which two lines are parallel?
5y = −4x − 5
I.
5y = −1 + 2x
II.
III. 5y + 4x = −1
a.
b.
I and III
I and II
c.
d.
II and III
No two of the lines are parallel.
32. What must be true about the slopes of two
perpendicular lines, neither of which is vertical?
a. The slopes are equal.
b. The slopes have product 1.
c. The slopes have product –1.
d. One of the slopes must be 0.
33. Construct the line that is perpendicular to the given
line through the given point.
6
Name: ________________________
ID: C
a.
34. ∠BAC ≅
b.
a.
b.
c.
d.
?
∠NPM
∠MNP
∠NMP
∠PNM
35. Justify the last two steps of the proof.
Given: MN ≅ PO and MO ≅ PN
Prove: ∆MNO ≅ ∆PON
c.
Proof:
1. MN ≅ PO
2. MO ≅ PN
3. NO ≅ ON
4. ∆MNO ≅ ∆PON
d.
a.
b.
c.
d.
7
1. Given
2. Given
3. ?
4. ?
Reflexive Property of ≅ ; SAS
Symmetric Property of ≅ ; SSS
Symmetric Property of ≅ ; SAS
Reflexive Property of ≅ ; SSS
Name: ________________________
ID: C
38. From the information in the diagram, can you prove
∆FDG ≅ ∆FDE ? Explain.
36. What other information do you need in order to
prove the triangles congruent using the SAS
Congruence Postulate?
a.
b.
c.
d.
∠BAC ≅ ∠DAC
∠CBA ≅ ∠CDA
AB ⊥ AD
AB ≅ AD
a.
b.
c.
d.
37. Name the angle included by the sides MP and PN .
a.
b.
c.
d.
yes, by ASA
yes, by AAA
yes, by SAS
no
39. Based on the given information, what can you
conclude, and why?
Given: ∠M ≅ ∠Q, MO ≅ OQ
∠P
∠M
∠N
none of these
a.
b.
c.
d.
8
∆MNO ≅ ∆OQP by ASA
∆MNO ≅ ∆QPO by SAS
∆MNO ≅ ∆QPO by ASA
∆MNO ≅ ∆OQP by SAS
Name: ________________________
ID: C
40. Name the theorem or postulate that lets you
immediately conclude ∆ABD ≅ ∆CBD.
a.
b.
c.
d.
AAS
SAS
ASA
none of these
41. Supply the missing reasons to complete the proof.
Given: ∠H ≅ ∠K and HJ ≅ KJ
Prove: IJ ≅ LJ
Statement
1. ∠H ≅ ∠K and
Reasons
1. Given
HJ ≅ KJ
2. ∠IJH ≅ ∠LJK
2. Vertical angles are congruent.
3. ∆IJH ≅ ∆LJK
3.
?
4. IJ ≅ LJ
4.
?
a.
b.
ASA; Substitution
SAS; CPCTC
c.
d.
AAS; CPCTC
ASA; CPCTC
9
Name: ________________________
ID: C
45. Is there enough information to conclude that the
two triangles are congruent? If so, what is a correct
congruence statement?
42. What is the measure of a base angle of an isosceles
triangle if the vertex angle measures 32° and the
two congruent sides each measure 21 units?
a.
b.
c.
d.
158°
74°
148°
79°
a.
b.
c.
d.
43. What is the measure of the vertex angle of an
isosceles triangle if one of its base angles measures
38°?
a. 71°
b. 104°
c. 142°
d. 76°
Yes; ∆CAB ≅ ∆DAC .
Yes; ∆ACB ≅ ∆ACD.
Yes; ∆ABC ≅ ∆ACD.
No, the triangles cannot be proven congruent.
46. Find the value of x.
44. Find the value of x. The diagram is not to scale.
a.
b.
c.
d.
a.
b.
c.
d.
x = 23
x = 40
x = 13
none of these
10
8
6
9.3
10
Name: ________________________
ID: C
49. Which statement can you conclude is true from the
given information?
47. The length of DE is shown. What other length can
you determine for this diagram?
←

→
Given: AB is the perpendicular bisector of IK .
a.
b.
c.
d.
EF = 7
DG = 7
DF = 14
No other length can be determined.
a.
b.
c.
d.
48. DF bisects ∠EDG. Find the value of x. The
diagram is not to scale.
a.
b.
c.
d.
∠IAJ is a right angle.
IJ = JK
A is the midpoint of IK .
AJ = BJ
50. Name a median for ∆CDE.
a.
b.
c.
d.
165
15
7
60
23
11
CF
CH
DF
EG
Name: ________________________
ID: C
52. What is the name of the segment inside the large
triangle?
51. Which diagram shows a point P an equal distance
from points A, B, and C?
a.
b.
a.
b.
c.
d.
altitude
perpendicular bisector
median
midsegment
53. Name the smallest angle of ∆ABC. The diagram is
not to scale.
c.
a.
b.
c.
d.
d.
∠C
∠B
∠A
Two angles are the same size and smaller than
the third.
54. Which three lengths can NOT be the lengths of the
sides of a triangle?
a. 21 m, 7 m, 9 m
b. 15 m, 12 m, 15 m
c. 25 m, 16 m, 12 m
d. 7 m, 9 m, 5 m
55. Two sides of a triangle have lengths 5 and 13.
What must be true about the length of the third
side, x?
a. 8 < x < 13
b. 8 < x < 5
c. 8 < x < 18
d. 5 < x < 13
12
Name: ________________________
ID: C
59. LMNO is a parallelogram. If NM = x + 31 and OL =
5x + 7 find the value of x and then find NM and
OL.
56. Judging by appearance, classify the figure in as
many ways as possible.
a.
b.
c.
d.
a.
b.
c.
d.
rectangle, square, quadrilateral, parallelogram,
rhombus
rectangle, square, parallelogram
rhombus, trapezoid, quadrilateral, square
square, rectangle, quadrilateral
x = 8, NM = 37, OL = 39
x = 8, NM = 39, OL = 39
x = 6, NM = 37, OL = 37
x = 6, NM = 39, OL = 37
60. Find the values of the variables in the
parallelogram. The diagram is not to scale.
57. Find the values of the variables and the lengths of
the sides of this kite.
a.
b.
c.
d.
a.
b.
c.
d.
x =16, y = 7; 3, 21
x = 7, y = 16; 3, 21
x =16, y = 7; 12, 12
x = 7, y = 16; 12, 19
58. Which statement is true?
a. All parallelograms are quadrilaterals.
b. All quadrilaterals are parallelograms.
c. All rectangles are squares.
d. All parallelograms are rectangles.
13
x = 42,
x = 32,
x = 32,
x = 42,
y = 32,
y = 42,
y = 42,
y = 42,
z = 106
z = 106
z = 138
z = 138
Name: ________________________
ID: C
62. In the figure, the horizontal lines are parallel and
AB = BC = CD. Find JM. The diagram is not to
scale.
61. WXYZ is a parallelogram. Name an angle congruent
to ∠XWZ.
a.
b.
c.
d.
∠XYW
∠WYZ
∠WXY
∠XYZ
a.
b.
c.
d.
14
21
7
28
63. What is the missing reason in the proof?
Given: parallelogram ABCD with diagonal BD
Prove: ∆ABD ≅ ∆CDB
Statements
1. AD Ä BC
2. ∠ADB ≅ ∠CBD
3. AB Ä CD
4. ∠ABD ≅ ∠CDB
5. DB ≅ DB
6. ∆ABD ≅ ∆CDB
a.
b.
ASA
Reflexive Property of Congruence
Reasons
1. Definition of parallelogram
2. Alternate Interior Angles Theorem
3. Definition of parallelogram
4. Alternate Interior Angles Theorem
5. ?
6. ASA
c.
d.
Alternate Interior Angles Theorem
Definition of parallelogram
14
Name: ________________________
ID: C
67. The isosceles trapezoid is part of an isosceles
triangle with a 52° vertex angle. What is the
measure of an acute base angle of the trapezoid? Of
an obtuse base angle? The diagram is not to scale.
64. Find values of x and y for which ABCD must be a
parallelogram. The diagram is not to
scale.
a.
b.
c.
d.
a.
b.
c.
d.
x = 6, y = 3
x = 3, y = 6
x = 3, y = 11
x = 3, y = 29
64°; 116°
52°; 116°
52°; 128°
64°; 128°
68. m∠R = 150 and m∠S = 100. Find m∠T. The
diagram is not to scale.
65. In the rhombus,
m∠1 = 6x, m∠2 = x + y, and m∠3 = 18z. Find
the value of each variable. The diagram is not to
scale.
a.
b.
c.
d.
a.
b.
c.
d.
x = 30, y = 75, z = 10
x = 15, y = 165, z = 10
x = 30, y = 165, z = 5
x = 15, y = 75, z = 5
66. DEFG is a rectangle. DF = 6x – 2 and EG = x + 38.
Find the value of x and the length of each diagonal.
a. x = 4, DF = 42, EG = 42
b. x = 8, DF = 42, EG = 42
c. x = 8, DF = 46, EG = 46
d. x = 8, DF = 46, EG = 49
15
5
10
75
100
ID: C
Final Exam- Review Fall Semester
Answer Section
MULTIPLE CHOICE
1. ANS:
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A
PTS: 1
DIF: L2
REF: 1-1 Patterns and Inductive Reasoning
1-1.1 Using Inductive Reasoning
STA: CA GEOM 1.0| CA GEOM 3.0
1-1 Example 1
KEY: pattern | inductive reasoning
B
PTS: 1
DIF: L2
REF: 1-1 Patterns and Inductive Reasoning
1-1.1 Using Inductive Reasoning
STA: CA GEOM 1.0| CA GEOM 3.0
1-1 Example 1
KEY: pattern | inductive reasoning
B
PTS: 1
DIF: L3
REF: 1-1 Patterns and Inductive Reasoning
1-1.1 Using Inductive Reasoning
STA: CA GEOM 1.0| CA GEOM 3.0
1-1 Example 3
KEY: counterexample | conjecture
B
PTS: 1
DIF: L2
REF: 1-3 Points, Lines, and Planes
1-3.1 Basic Terms of Geometry
STA: CA GEOM 1.0
1-4 Example 1
KEY: point | line | collinear points
D
PTS: 1
DIF: L2
REF: 1-3 Points, Lines, and Planes
1-3.2 Basic Postulates of Geometry
STA: CA GEOM 1.0
1-4 Example 3
KEY: plane | intersection of two planes
D
PTS: 1
DIF: L2
REF: 1-5 Measuring Segments
1-5.1 Finding Segment Lengths
TOP: 1-5 Example 2
segment | segment length
C
PTS: 1
DIF: L2
REF: 1-6 Measuring Angles
1-6.1 Finding Angle Measures
TOP: 1-6 Example 3
Angle Addition Postulate
D
PTS: 1
DIF: L3
REF: 1-6 Measuring Angles
1-6.2 Identifying Angle Pairs
KEY: supplementary angles
A
PTS: 1
DIF: L2
REF: 1-8 The Coordinate Plane
1-8.1 Finding Distance on the Coordinate Plane
TOP: 1-8 Example 1
Distance Formula | coordinate plane
D
PTS: 1
DIF: L2
REF: 1-8 The Coordinate Plane
1-8.2 Finding the Midpoint of a Segment
TOP: 1-8 Example 3
coordinate plane | Midpoint Formula
B
PTS: 1
DIF: L2
REF: 1-8 The Coordinate Plane
1-8.2 Finding the Midpoint of a Segment
TOP: 1-8 Example 4
coordinate plane | Midpoint Formula
C
PTS: 1
DIF: L2
REF: 1-9 Perimeter, Circumference, and Area
1-9.1 Finding Perimeter and Circumference
STA: CA GEOM 8.0| CA GEOM 10.0
1-9 Example 2
KEY: circle | circumference
C
PTS: 1
DIF: L3
REF: 1-9 Perimeter, Circumference, and Area
1-9.2 Finding Area
STA: CA GEOM 8.0| CA GEOM 10.0
area | square
C
PTS: 1
DIF: L2
REF: 2-1 Conditional Statements
2-1.1 Conditional Statements
TOP: 2-1 Example 1
conditional statement | hypothesis | conclusion
1
ID: C
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30. ANS:
REF:
TOP:
C
PTS: 1
DIF: L2
REF: 2-1 Conditional Statements
2-1.1 Conditional Statements
TOP: 2-1 Example 1
conditional statement | conclusion
B
PTS: 1
DIF: L2
REF: 2-2 Biconditionals and Definitions
2-2.1 Writing Biconditionals
TOP: 2-2 Example 2
biconditional statement | conditional statement
A
PTS: 1
DIF: L3
REF: 2-2 Biconditionals and Definitions
2-2.2 Recognizing Good Definitions
KEY: counterexample
C
PTS: 1
DIF: L3
REF: 2-4 Reasoning in Algebra
2-4.1 Connecting Reasoning in Algebra and Geometry
STA: CA GEOM 1.0| CA GEOM 3.0
2-4 Example 3
KEY: Properties of Congruence
A
PTS: 1
DIF: L2
REF: 2-5 Proving Angles Congruent
2-5.1 Theorems About Angles
STA: CA GEOM 1.0| CA GEOM 2.0| CA GEOM 4.0
2-5 Example 1
KEY: vertical angles | Vertical Angles Theorem
A
PTS: 1
DIF: L2
REF: 3-1 Properties of Parallel Lines
3-1.1 Identifying Angles
STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 7.0
3-1 Example 1
KEY: corresponding angles | transversal | parallel lines
C
PTS: 1
DIF: L2
REF: 3-1 Properties of Parallel Lines
3-1.2 Properties of Parallel Lines
STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 7.0
transversal | parallel lines | supplementary angles
A
PTS: 1
DIF: L2
REF: 3-2 Proving Lines Parallel
3-2.1 Using a Transversal
STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 7.0
3-2 Example 1
KEY: parallel lines | reasoning
B
PTS: 1
DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems
3-5.1 Classifying Polygons
STA: CA GEOM 12.0| CA GEOM 13.0
3-5 Example 2
KEY: polygon | convex
B
PTS: 1
DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems
3-5.1 Classifying Polygons
STA: CA GEOM 12.0| CA GEOM 13.0
3-5 Example 2
KEY: classifying polygons
A
PTS: 1
DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems
3-5.2 Polygon Angle Sums
STA: CA GEOM 12.0| CA GEOM 13.0
3-5 Example 3
KEY: sum of angles of a polygon
D
PTS: 1
DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems
3-5.2 Polygon Angle Sums
STA: CA GEOM 12.0| CA GEOM 13.0
Polygon Angle-Sum Theorem
B
PTS: 1
DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems
3-5.2 Polygon Angle Sums
STA: CA GEOM 12.0| CA GEOM 13.0
Polygon Exterior Angle-Sum Theorem
B
PTS: 1
DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems
3-5.2 Polygon Angle Sums
STA: CA GEOM 12.0| CA GEOM 13.0
polygon | classifying polygons | equilateral
A
PTS: 1
DIF: L2
REF: 3-6 Lines in the Coordinate Plane
3-6.2 Writing Equations of Lines
TOP: 3-6 Example 4
point-slope form
D
PTS: 1
DIF: L2
3-7 Slopes of Parallel and Perpendicular Lines
OBJ: 3-7.1 Slope and Parallel Lines
3-7 Example 1
KEY: slopes of parallel lines | graphing | parallel lines
2
ID: C
31. ANS:
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A
PTS: 1
DIF: L2
3-7 Slopes of Parallel and Perpendicular Lines
OBJ: 3-7.1 Slope and Parallel Lines
3-7 Example 2
KEY: slopes of parallel lines | parallel lines
C
PTS: 1
DIF: L2
3-7 Slopes of Parallel and Perpendicular Lines
OBJ: 3-7.2 Slope and Perpendicular Lines
slopes of perpendicular lines | perpendicular lines | reasoning
A
PTS: 1
DIF: L2
3-8 Constructing Parallel and Perpendicular Lines
OBJ: 3-8.2 Constructing Perpendicular Lines
CA GEOM 16.0
TOP: 3-8 Example 3
construction | perpendicular lines
C
PTS: 1
DIF: L2
REF: 4-1 Congruent Figures
4-1.1 Congruent Figures
STA: CA GEOM 4.0| CA GEOM 5.0| CA GEOM 12.0
4-1 Example 1
KEY: congruent figures | corresponding parts
D
PTS: 1
DIF: L2
4-2 Triangle Congruence by SSS and SAS
OBJ: 4-2.1 Using the SSS and SAS Postulates
CA GEOM 2.0| CA GEOM 5.0
TOP: 4-2 Example 1
SSS | reflexive property | proof
D
PTS: 1
DIF: L2
4-2 Triangle Congruence by SSS and SAS
OBJ: 4-2.1 Using the SSS and SAS Postulates
CA GEOM 2.0| CA GEOM 5.0
TOP: 4-2 Example 2
SAS | reasoning
A
PTS: 1
DIF: L2
4-2 Triangle Congruence by SSS and SAS
OBJ: 4-2.1 Using the SSS and SAS Postulates
CA GEOM 2.0| CA GEOM 5.0
TOP: 4-2 Example 2
angle
A
PTS: 1
DIF: L2
4-3 Triangle Congruence by ASA and AAS
4-3.1 Using the ASA Postulate and the AAS Theorem
STA: CA GEOM 2.0| CA GEOM 5.0
4-3 Example 3
KEY: ASA | reasoning
C
PTS: 1
DIF: L2
4-3 Triangle Congruence by ASA and AAS
4-3.1 Using the ASA Postulate and the AAS Theorem
STA: CA GEOM 2.0| CA GEOM 5.0
4-3 Example 4
KEY: ASA | reasoning
A
PTS: 1
DIF: L2
4-3 Triangle Congruence by ASA and AAS
4-3.1 Using the ASA Postulate and the AAS Theorem
STA: CA GEOM 2.0| CA GEOM 5.0
4-3 Example 3
KEY: ASA | AAS | SAS
D
PTS: 1
DIF: L2
REF: 4-4 Using Congruent Triangles: CPCTC
4-4.1 Proving Parts of Triangles Congruent
STA: CA GEOM 5.0| CA GEOM 6.0
4-4 Example 1
KEY: ASA | CPCTC | proof
B
PTS: 1
DIF: L2
REF: 4-5 Isosceles and Equilateral Triangles
4-5.1 The Isosceles Triangle Theorems
CA GEOM 4.0| CA GEOM 5.0| CA GEOM 12.0
TOP: 4-5 Example 2
isosceles triangle | Converse of Isosceles Triangle Theorem | Triangle Angle-Sum Theorem
B
PTS: 1
DIF: L2
REF: 4-5 Isosceles and Equilateral Triangles
4-5.1 The Isosceles Triangle Theorems
CA GEOM 4.0| CA GEOM 5.0| CA GEOM 12.0
TOP: 4-5 Example 2
isosceles triangle | Isosceles Triangle Theorem | Triangle Angle-Sum Theorem | word problem
3
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REF: 4-5 Isosceles and Equilateral Triangles
4-5.1 The Isosceles Triangle Theorems
CA GEOM 4.0| CA GEOM 5.0| CA GEOM 12.0
TOP: 4-5 Example 2
Isosceles Triangle Theorem | isosceles triangle
B
PTS: 1
DIF: L2
REF: 4-6 Congruence in Right Triangles
4-6.1 The Hypotenuse-Leg Theorem
STA: CA GEOM 2.0| CA GEOM 5.0
4-6 Example 1
KEY: HL Theorem | right triangle | reasoning
B
PTS: 1
DIF: L3
REF: 5-1 Midsegments of Triangles
5-1.1 Using Properties of Midsegments
STA: CA GEOM 17.0
midpoint | midsegment | Triangle Midsegment Theorem
A
PTS: 1
DIF: L2
REF: 5-2 Bisectors in Triangles
5-2.1 Perpendicular Bisectors and Angle Bisectors
CA GEOM 2.0| CA GEOM 4.0| CA GEOM 5.0
TOP: 5-2 Example 1
perpendicular bisector | Perpendicular Bisector Theorem
B
PTS: 1
DIF: L2
REF: 5-2 Bisectors in Triangles
5-2.1 Perpendicular Bisectors and Angle Bisectors
CA GEOM 2.0| CA GEOM 4.0| CA GEOM 5.0
TOP: 5-2 Example 2
Angle Bisector Theorem | angle bisector
B
PTS: 1
DIF: L3
REF: 5-2 Bisectors in Triangles
5-2.1 Perpendicular Bisectors and Angle Bisectors
CA GEOM 2.0| CA GEOM 4.0| CA GEOM 5.0
perpendicular bisector | Perpendicular Bisector Theorem | reasoning
C
PTS: 1
DIF: L2
5-3 Concurrent Lines, Medians, and Altitudes
OBJ: 5-3.2 Medians and Altitudes
CA GEOM 2.0| CA GEOM 21.0
TOP: 5-3 Example 4
median of a triangle
A
PTS: 1
DIF: L2
5-3 Concurrent Lines, Medians, and Altitudes
OBJ: 5-3.1 Properties of Bisectors
CA GEOM 2.0| CA GEOM 21.0
TOP: 5-3 Example 2
circumcenter of the triangle | circumscribe
B
PTS: 1
DIF: L2
5-3 Concurrent Lines, Medians, and Altitudes
OBJ: 5-3.2 Medians and Altitudes
CA GEOM 2.0| CA GEOM 21.0
TOP: 5-3 Example 4
altitude of a triangle | angle bisector | perpendicular bisector | midsegment | median of a triangle
A
PTS: 1
DIF: L2
REF: 5-5 Inequalities in Triangles
5-5.1 Inequalities Involving Angles of Triangles
STA: CA GEOM 2.0| CA GEOM 6.0
5-5 Example 2
KEY: Theorem 5-10
A
PTS: 1
DIF: L2
REF: 5-5 Inequalities in Triangles
5-5.2 Inequalities Involving Sides of Triangles
STA: CA GEOM 2.0| CA GEOM 6.0
5-5 Example 4
KEY: Triangle Inequality Theorem
C
PTS: 1
DIF: L2
REF: 5-5 Inequalities in Triangles
5-5.2 Inequalities Involving Sides of Triangles
STA: CA GEOM 2.0| CA GEOM 6.0
5-5 Example 5
KEY: Triangle Inequality Theorem
A
PTS: 1
DIF: L2
REF: 6-1 Classifying Quadrilaterals
6-1.1 Classifying Special Quadrilaterals
STA: CA GEOM 12.0
6-1 Example 1
special quadrilaterals | quadrilateral | parallelogram | rhombus | square | rectangle | kite | trapezoid
4
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REF: 6-1 Classifying Quadrilaterals
6-1.1 Classifying Special Quadrilaterals
STA: CA GEOM 12.0
6-1 Example 3
KEY: algebra | kite
A
PTS: 1
DIF: L2
REF: 6-1 Classifying Quadrilaterals
6-1.1 Classifying Special Quadrilaterals
STA: CA GEOM 12.0
reasoning | kite | parallelogram | quadrilateral | rectangle | rhombus | special quadrilaterals
C
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.1 Properties: Sides and Angles STA: CA GEOM 7.0| CA GEOM 13.0
6-2 Example 2
KEY: parallelogram | algebra | Theorem 6-1
B
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.1 Properties: Sides and Angles STA: CA GEOM 7.0| CA GEOM 13.0
parallelogram | opposite angles | consectutive angles | transversal
D
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.1 Properties: Sides and Angles STA: CA GEOM 7.0| CA GEOM 13.0
parallelogram | opposite angles
B
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.2 Properties: Diagonals and Transversals
STA: CA GEOM 7.0| CA GEOM 13.0
6-2 Example 4
KEY: transversal | parallel lines | Theorem 6-4
B
PTS: 1
DIF: L3
REF: 6-2 Properties of Parallelograms
6-2.2 Properties: Diagonals and Transversals
STA: CA GEOM 7.0| CA GEOM 13.0
proof | two-column proof | parallelogram | diagonal
B
PTS: 1
DIF: L2
6-3 Proving That a Quadrilateral is a Parallelogram
6-3.1 Is the Quadrilateral a Parallelogram?
STA: CA GEOM 7.0| CA GEOM 12.0
6-3 Example 1
KEY: algebra | parallelogram | Theorem 6-5 | diagonal
D
PTS: 1
DIF: L2
REF: 6-4 Special Parallelograms
6-4.1 Diagonals of Rhombuses and Rectangles
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
TOP: 6-4 Example 1
algebra | diagonal | rhombus | Theorem 6-13
C
PTS: 1
DIF: L2
REF: 6-4 Special Parallelograms
6-4.1 Diagonals of Rhombuses and Rectangles
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
TOP: 6-4 Example 2
rectangle | algebra | Theorem 6-11 | diagonal
A
PTS: 1
DIF: L2
REF: 6-5 Trapezoids and Kites
6-5.1 Properties of Trapezoids and Kites
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
TOP: 6-5 Example 2
trapezoid | isosceles trapezoid | base angles | isosceles triangle
B
PTS: 1
DIF: L2
REF: 6-5 Trapezoids and Kites
6-5.1 Properties of Trapezoids and Kites
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
KEY: kite | sum of interior angles
5