Download ExamView - Geom Ch 8 Practice Test.tst

Name: ________________________ Class: ___________________ Date: __________
Geometry Ch 8 Practice Test
1. The measure of each interior angle of a regular hexagon is ________.
a.
b.
c.
d.
30°
120°
15°
60°
Find the value of x. (The figure may not be drawn to scale.)
2.
a.
b.
c.
d.
74
108
49
51
1
ID: A
Find each unknown angle measure.
3.
4. For parallelogram PQLM below, if m∠PML = 83°, then m∠PQL =______ .
a.
b.
c.
d.
m∠PQM
83°
97°
m∠QLM
5. Consecutive angles in a parallelogram are always ________.
a. congruent angles
b. complementary angles
c. supplementary angles
d. vertical angles
2
6. If ON = 7x − 5, LM = 6x + 3, NM = x − 4, and OL = 2y + 5, find the values of x and y given that LMNO is a
parallelogram.
a.
b.
1
13
x= ;y=
2
2
x = 8; y = −2
c.
d.
1
2
x = 2; y = −2
x = 8; y = −
True or False:
7. If a quadrilateral is a parallelogram, then consecutive angles are complementary.
8. If a quadrilateral is a parallelogram, then opposite angles are complementary.
Use the diagram to find the given length.
9. AC
10. BD
3
11. Which statement is true?
a. All quadrilaterals are squares.
b. All rectangles are squares.
c. All parallelograms are quadrilaterals.
d. All quadrilaterals are parallelograms.
12. Choose the statement that is NOT ALWAYS true. For a rhombus ________.
a. each diagonal bisects a pair of opposite angles
b. all four sides are congruent
c. the diagonals are congruent
d. the diagonals are perpendicular
13. The diagonals of a parallelogram always _________.
a. are congruent
b. are parallel
c. bisect each other
d. are perpendicular
14. If the diagonals of a parallelogram are perpendicular, then the parallelogram is also what type of figure?
15. Isosceles trapezoid JKLM has legs JK and LM , and base KL. If JK = 8x − 9, KL = 7x + 10, and LM = 10x + 2, find
the value of x.
c. 19
a. −1
11
8
b. −
d.
2
3
4
16. For the trapezoid shown below, the measure of the midsegment is _______.
a.
b.
c.
d.
29
58
25
30
17. Given: Trapezoid ABCD with midsegment EF . If EF = 23 and DC = 26, find the length of AB.
Open-ended: Give the possible coordinates of the vertices of the quadrilateral so that the diagonals lie on
the
x- and y-axes.
18. a trapezoid
5
19. The coordinates of quadrilateral PQRS are P(–3, 0), Q(0, 4), R(4, 1), and S(1, –3). What best describes the
quadrilateral?
a. a rectangle
b. a square
c. a rhombus
d. a parallelogram
20. Use slope or the Distance Formula to determine the most precise name for the figure: A(–1, –4), B(1, –1), C(4, 1),
D(2, –2).
a. kite
b. trapezoid
c. rhombus
d. square
What name best describes the quadrilateral?
21.
a.
b.
c.
d.
parallelogram
rhombus
kite
rectangle
a.
b.
c.
d.
kite
rectangle
parallelogram
triangle
22.
6
23. Which statement is false?
a. All rhombuses are kites.
b. All squares are rhombuses.
c. Every kite is a rectangle.
d. All squares are quadrilaterals.
24. Which statement is false?
a. Every square is a parallelogram.
b. Some rhombuses are rectangles.
c. Every rhombus is a quadrilateral.
d. Every parallelogram is a rhombus.
25. Which statement is false?
a. If a quadrilateral is a square, then it is not a kite.
b. Some parallelograms are rhombuses.
c. All parallelograms are quadrilaterals.
d. If a quadrilateral is a rectangle, then it is a kite.
7
ID: A
Geometry Ch 8 Practice Test
Answer Section
1. ANS: B
2. ANS: D
3. ANS:
56°, 84°, 92°, 128°
4.
5.
6.
7.
PTS:
ANS:
ANS:
ANS:
ANS:
False
1
B
C
C
PTS: 1
PTS: 1
PTS: 1
PTS: 1
PTS: 1
PTS: 1
8. ANS:
False
PTS: 1
9. ANS:
10
PTS: 1
10. ANS:
8
11.
12.
13.
14.
PTS: 1
ANS: C
ANS: C
ANS: C
ANS:
A rhombus
PTS: 1
15. ANS: B
16. ANS: A
17. ANS:
20
PTS: 1
PTS: 1
PTS: 1
PTS: 1
PTS: 1
PTS: 1
18. ANS:
Sample answer: (–3, 0), (0, 3), (7, 0), (0, –7)
PTS: 1
19. ANS: B
20. ANS: C
PTS: 1
PTS: 1
1
ID: A
21.
22.
23.
24.
25.
ANS:
ANS:
ANS:
ANS:
ANS:
A
A
C
D
D
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
2