Geometry Midterm Exam Study Guide 12/06
Chapter 1
Know the following terms/definitions/concepts
1)Collinear
2)Coplanar
3)Intersection of two lines
4)Intersection of two planes
5)Three noncollinear points
6)Parallel lines
7)Skew lines
8)Parallel planes
9)Congruent angles/segments
10)Know how to find the distance between two points on a number line and the midpoint of the
line segment with those endpoints.
Ex:
11)Know how to name points, lines, segments, rays, planes, and angles.
Ex:
12)Acute angle
13)Obtuse angle
14)Right angle
15)Midpoint of a segment
Ex:
16)Perpendicular lines
Be able to solve problems involving perpendicular lines.
Ex:
17)Perpendicular bisector of a line segment
Ex:
18)Segment bisector
19)Angle bisector
Be able to solve problems involving an angle bisector
Ex:
20)Know the reflexive, symmetric, and transitive properties.
Ex.:
21)Vertical angles
Ex:
Be able to solve problems involving vertical angles.
22)Adjacent angles --- draw examples.
23)Linear pair
Draw an example of a linear pair and be able to solve problems involving linear pairs.
24)Complementary angles
Ex:
Be able to solve problems involving these angles.
25)Supplementary angles
Ex:
Be able to solve problems involving these angles.
Chapter 2
26)Sum of the interior angles of a triangle. Be able to solve for the missing angles of
a given triangle.
Ex:
27)Equilateral/equiangular triangle
28)Isosceles triangle. Be able to solve problems involving isosceles triangles. Draw an isosceles triangle and label legs, base, vertex angle, and base angles.
Ex:
29)Scalene triangle
30)Acute triangle
Ex:
31)Obtuse triangle
Ex:
32)Right triangle
Ex:
33)Know the names of all polygons and the # of sides and angles.
34)Regular polygon
35)Know the formula for finding the SUM OF THE INTERIOR ANGLES OF A POLYGON:
(N – 2)180 and be able to find the sum of the int. angles of any polygon using this formula.
Ex:
36)The SUM of the EXTERIOR ANGLES OF A POLYGON
37)Know how to find the measure of EACH interior and EACH exterior angle of any polygon.
Ex:
38)Know the slope-intercept form of a linear equation and be able to identify the slope and
y-intercept. Be able to solve a linear equation for “Y” and graph it in the coordinate plane.
Ex:
39)Know the
SLOPE formula: 
and use it to compute
the slope given two pts.
Ex:
40)Be able to identify parallel and perpendicular lines according to their slopes.
Ex:
41)The 3 types of quadrilaterals
42)Parallelogram (definition, properties, types)
43)Rectangle
44)Rhombus
45)Square
46)Trapezoid
47)Kite
48)Diameter and radius of a circle
49)Central angle
50)Semicircle
51)Arc
52)Know how to find the degree measures of angles and arcs of a circle.
Ex:
53)Congruent figures
54)Similar figures
Be able to solve problems involving similar triangles.
Chapter 4
55)Know how to write the converse, inverse, and contrapositive of a given conditional statement.
Ex:
56)Isosceles triangle theorems (Theorems 4-1 and 4-2)
Be able to solve problems involving isosceles triangles.
57)Acute angles of a right triangle.
Ex:
58)Midsegment
Be able to solve problems involving midsegments.
Ex:
59)Triangle Inequality Theorem
60)Triangle inequalities
Be able to name the shortest/longest side or largest/smallest angle of a triangle.
Ex:
61)A point on the perpendicular bisector of a line segment
62)Altitude
63)Median
Chapter 5
64)Know the formulas for the AREA of: rectangle, square, parallelogram, triangle, trapezoid.
Be able to compute areas using these formulas.
Ex:
65)Height of a parallelogram, triangle, trapezoid.
66)Hypotenuse and legs of a right triangle
Ex:
67)The Pythagorean Theorem c2 = a2 + b2 . Be able to find the missing side of a right triangle
using this formula.
Ex:
68)Be able to determine if 3 lenghts could form a triangle, and if so, what type of triangle.
Ex:
69)30-60-90 and 45-45-90 triangles
Be able to solve for missing sides of these triangles.
Ex:
70)Be able to find the areas of parallelograms, trapezoids, and triangles using
45-45-90 and 30-60-90 triangles.
Ex:
71)Be able to find the areas of regular hexagons, equilateral triangles, and squares, using
the 45-45-90 and 30-60-90 triangles. Know: apothem, radius, side, perimeter, and
formula A = aP/2.
Ex:
72)CIRCLES: Use the following formulas to solve for diameter, radius, circumference, arc length,
area of a circle, and area of a sector.
D = 2r
C = 2πr or C = Dπ
A
circle = π r2 A sector = 
Chapter 6
73)Surface Areas of Prisms and Cylinders
Know how to compute the lateral and surface areas of prisms and cylinders
Refer to Worksheet 6-2
74)Surface Areas of Pyramids and Cones
Know how to compute the lateral and surface areas of pyramids and cones
Refer to Worksheet 6-3
Review Problems:
Ch. 1 Pg. 59-62 #1-32 (omit #20), 33, 35; Ch. 1 Worksheets
Ch. 2 Pg. 117-119 #1-28; Ch. 2 Worksheets
Ch. 4 Pg. 234-237 #1-25 (omit #18-21); Ch. 4 Worksheets
Ch. 5 Pg. 293-296 #1-27 (omit #25); Ch. 5 Worksheets
Ch. 6 Pg. 355-356 #6-13; Ch. 6 Worksheets (6-2 and 6-3)
Assessments at the end of each chapter also provide good practice problems.
Honors Geometry only: Know how to find the area of a segment (lesson 5-8),
Know how to find the VOLUMES of prisms, cylinders, pyramids, and cones.
Ch. 6, Pg. 355-357 #6-30, and worksheets 6-2, 6-3, 6-4, and 6-5.