Download Geometry Honors - cloudfront.net

Geometry Honors
First Semester Review
Chapter 1
Know definitions of points, lines, planes
Coplanar, collinear
Between
Distance/midpoint formulas
Definition of midpoint
Difference between AB, AB, AB and AB
Segment and Angle addition postulates
Right/acute/obtuse angles
Types of angles – adjacent/vertical/linear pair
Supplementary/complimentary
Perpendicular lines
Problems:
p. 15 #1-5; 41-45
p. 27 #27, 28, 33, 35, 41
p.32 #13, 29, 33, 43
p. 41 # 27-30; 34-38
p. 47 #19, 21, 29, 31, 33, 35, 41
p. 53 # 17, 19, 20-25, 26-29
p. 60 # 24-32; 37
Chapter 2
Conjecture
If-then statements
Converses
Hypothesis/conclusion
Counterexamples
Know segment and angle theorems for sections 2-6 and 2-7
Problems:
p. 73 #23, 25
p. 79 #24, 25-29, 36-38
p. 85 #12, 13
p. 101 #5-10
p. 108 #16-23
Chapter 3
Parallel lines and their angles – Alternate interior/corresponding/alternate
exterior/consecutive interiors
Skew Lines
Proving lines parallel
Slopes – formula, vertical, horizontal
Writing equations of a line
Problems:
p. 131 #19-24; 34-36
p. 138 #24-27; 31, 40
p. 146 #37, 44
p. 152 #17, 29
Know how to write equations of lines!!!
Chapter 4
Classifying Triangles – acute/obtuse/right
Scalene/isosceles/equilateral
Congruent Triangle Theorems – SSS/SAS/ASA/AAS
CPCTC
Exterior Angle Theorem/Third Angle Theorem
Isosceles Triangle Theorem and its converse
Problems:
p. 167 #20-25; 33-36
p. 175 #29-32; 45
p. 189 #19-21, 27, 31
p. 196 # 21, 27, 30
p. 205 #23, 25, 32, 35, 36
Chapter 5
Definitions – median/altitude/angle bisector/perpendicular bisector
Right triangle theorems – LL/LA/HL/HA
Exterior Angle inequality theorem
Angle opposite longer side is greater and converse
Distance – perpendicular segment
Triangle inequality theorem
SAS Inequality theorem (hinge theorem)
SSS Inequality theorem (converse of hinge theorem)
Problems:
p. 221 # 19-25; 31, 37
p. 227 #21-23
p. 237 # 19-22
p. 244 # 15-19; 23, 25
p. 249 # 19-22, 29
p. 255 #15, 17, 19, 21
Chapter 6
Parallelograms – know properties of each
Trapezoids
Follow the chart:
Quadrilateral
Parallelogram
Rectangle
Trapezoid
Rhombus
Square
Refer to inclusive chart in notes for properties of each.
Problems:
p. 269 # 20-28; 44, 45
p. 279 # 22-27; 29, 32, 40
p. 285 # 22-25; 28, 29
p. 290 # 9, 15-26; 30
p. 297 # 21-24; 27, 29
Chapter 7
Similarity
Proportions – ratios/scale factors
Similar polygons – proportional sides and congruent angles
Similar triangles - AA, SSS, SAS similarity theorems
If similar triangles, sides and parts are in proportion; angles congruent
Parallel lines cut sides into equal proportions
Perimeters/altitudes/angle bisectors/medians of similar triangles are all
proportional.
Problems:
p. 311 # 27, 30, 32, 36, 45
p. 318 #21-24
p. 323 # 7-10, 30, 31
p. 333 # 23-25
p. 339 # 24-27
p. 346 # 18-23