Geometry Mid-term Review: Terms and Concepts
The following will give you an idea of the topics and vocabulary that you might see on the semester exam. The
attached problem set is intended to be a sample of the types of problems you may see. It should not be your only
source of review – use your book and notes for other practice problems.
The test will be 37 multiple choice questions and 3 proofs.
Chapter 1 - 6
Adjacent, perpendicular, parallel, collinear, coplanar, skew lines, bisector, ray, segment, vertex, altitude of triangle, median of
triangle
Types of angles:
Acute, obtuse, right, straight, vertical, corresponding, alternate interior, alternate exterior, linear pair, supplementary,
complementary, same-side interior
Types of Triangles and parts:
Acute, obtuse, right, scalene, isosceles, equilateral, equiangular, 45-45-90, 30-60-90, legs, hypotenuse, base (isosceles)
Chapter 1
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Chapter 2
Naming points, lines, rays, planes, segments, and their intersections
Identifying types of angles and solving equations using them
o Vertical angles
o Linear pair angles
o Supplementary angles
o Complementary angles
o Bisected angles
Find the area of rectangles, squares, triangles, circles
Find the perimeter of polygons, circles
Use midpoint and distance formula
Identify and apply transformations on a coordinate plane
o Rotation
o Reflection
o Translation
Other vocab: preimage
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Write conditional statements
o Conditional
o Converse
o Inverse
o Contrapositive
o Biconditional
 Determine whether conditionals are true or false & provide counterexamples if false
 Use justifications to support conclusions
o Definitions
o Postulates
o Theorems
o Properties
o
● Other vocab: truth value, Inductive reasoning/deductive reasoning
Chapter 3
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Identify types of angles formed by 2 lines & a transversal
o Alternate interior
o Alternate exterior
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o Corresponding
o Same side interior
Show when lines are parallel and solve equations using the theorems of s above
Find slopes of lines given two points, an equation of a line, or the graphed line
Identify if lines are parallel, perpendicular, intersecting, or coinciding by their slopes
Other vocab: Parallel slopes, perpendicular slopes, point-slope form, slope-intercept form
Chapter 4
 Know and apply the Triangle sum theorem
 Know and apply the Exterior angles theorem
 Know and apply the 5 ways to prove two triangles congruent
 Know what CPCTC stands for and how to apply it
 Know and apply the Isosceles Triangle theorem
 Write a proof using congruent triangles
 Write a coordinate proof using variable coordinates
● Other vocab: Proofs (definitions/properties/theorems from all chapters):
CPCTC, ASA, SSS, SAS, AAS, HL, transitive prop, symmetric prop, reflexive prop,
Coordinate proofs/two-column proofs (yes, you will have both types on the test)
Chapter 5
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Chapter 6
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Identify and apply the theorems of segments of a triangle
o Perpendicular bisector
o Angle bisector
o Median
o Altitude
o Midsegment
Know and apply the Triangle Inequality theorem
Know and apply the Unequal Sides and Angles theorem
Know and apply the Pythagorean theorem to find missing side & to determine if a triangle is acute, right, or obtuse
Know and apply the Special Right Δ theorems
Other vocab: Circumcenter, incenter, centroid, being able to tell if the three side lengths can form a triangle
Identify the type of polygon by name, convex or concave, regular or not
Know and apply the polygon angle sum theorem
Know and apply the polygon exterior angle sum theorem
Know and apply the properties of parallelogram theorem
Know and apply the properties of rectangle theorem
Know and apply the properties of rhombus theorem
PreAP Midterm Review Practice Problems
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12.
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15. Find the slope of line BD.
16. Find the slope between F(-1, 4) and G(5, -1)
18.
17. Determine if the following lines are parallel, perpendicular, or intersecting.
8..
19
20
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24. Determine whether the lines are parallel, intersect, or coincide.
23.
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26. Write the converse, inverse, and contrapositive of the statement
“If a number is even, then it is divisible by 4.” Find the truth value of each.
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29.
a.
c.
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b.
c.
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b.
d.
34.
a.
b.
c.
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b.
c.
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37.
Given: ΔDEF  ΔLMN. Find each value.
38. x
40.
41.
39. EF
42.
43.
45. Find mQRS .
44. Find HJ.
46. Find AC.
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48.
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50.
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51.
53.
54.
56.
x = ___________
55.
57.
58.
x = _________ y = _________
x = ________ y = ________
59. Write the angles of ΔDEF in
order from smallest to largest.
60. Write the sides of ΔGHI in
order from shortest to longest.
61. Can the following side lengths for a triangle?
a. 4 in, 8 in, and 4 in
b. 9 cm, 12 cm, and 10 cm
62. Classify the following triangles as acute, right, or obtuse.
a. 5 m, 12 m, 14 m
b. 24 ft, 30 ft, 18 ft
Determine if each figure is a polygon. If so, name it by the number of its sides and tell whether it is convex
or concave and regular or irregular.
63.
64.
65.
66. What is the sum of the interior angles of a dodecagon?
67. Find the measure of each interior angle in pentagon ABCDE.
68. Find the measure of one interior
angle of a regular octagon.
69. Find the measure of one exterior
angle of a regular hexagon.
70. Find the value of r in quadrilateral JKLM.
71. EFGH is a parallelogram. Find FH and JG.
Use kite ABCD for 73 – 75. In kite ABCD,
73.
mABD
74.
mBAC  35 and mBCD  44 .
mDCA
76. Find the value of n so PQRS is isosceles.
78. Find x.
72. QRST is a parallelogram. Find x and y.
75.
mABC
77. Find mQ.
79. A ladder 15 feet from the base of a building reaches a window that is 35 feet high. What is the length of the
ladder to the nearest foot?
80. The distance from Austin to San Antonio is about 74 miles, and the distance from Victoria to Austin is about 126
miles. Find the distance from San Antonio to Victoria to the nearest tenth of a mile.
81. Q is the circumcenter of RST. SQ = 4.9, SM = 3.4, and NT = 4.4. Find RS and RQ.
S
M
N
Q
R
T
P
82. G is the incenter of DEF. GH = 3.7,
mEHG =90, mDFG = 25, and mD = 42.
Find mGEF and the distance from G to DF.
83. In XYZ, XC = 261 and ZW = 118 and W is the
centroid. Find XW, BW, and BZ.
X
E
A
H
Z
W
B
G
D
C
F
Y