Download Review Sheet Aims #22-30(Blank

Name ___________________________________
Unit 3 – Geometry
Review for Unit 3 Test (Aims #22-30)
Date ______________
Math 8H
1) Complete each statement based on the diagram to the right where
line AB is parallel to line CD and transversal EF intersects both lines.
a) A pair of vertical angles are ___________ and ___________.
b) A pair of alternate interior angles are ___________ and ___________.
c) A pair of corresponding angles are ___________ and ___________.
d) A pair of alternate exterior angles are ___________ and ___________.
e) A pair of supplementary angles are ___________ and ___________.
2) Solve for the variable specified in each diagram.
a)
b)
3) In triangle PQR below, m  P = 66°. a) What is the measure of
side lengths.
c)
 Q? b) Classify the triangle by its angles and
4) Given Line 𝑨𝑩 is parallel to Line 𝑪𝑬, prove that the interior angles of triangle 𝑨𝑩𝑪 have a sum of 𝟏𝟖𝟎˚.
5) Determine the measure of each of the missing angles in the diagram below.
m  1 = ________
m  7 = ________
m  2 = ________
m  8 = ________
m  3 = ________
m  9 = ________
m  4 = ________
m  10 = ________
m  5 = ________
m  11 = ________
m  6 = ________
m  12 = ________
6) What is the sum of the measures of the interior angles of a decagon?
7) What is the measure of one interior angle of a regular octagon?
8) What is the measure of one exterior angle of a regular hexagon?
9) Segment AB was dilated to A’B’ by a scale factor of 4. If AB = 3.5, what is the length of A’B’?
10) In the diagram to the right, XYZ
RST .
a) What is the length of RT?
b) What is the ratio of sides of triangle XYZ to triangle RST in simplest form?
c) If triangle RST is the dilated image of triangle XYZ, then what is the scale factor?
11) In the diagram below, ABC
DEF . What is the length of DE?
12) Use the diagram to answer the questions that follow. The length of each segment is as shown: segment 𝑂𝑋 is
5 units, segment 𝑂𝑌 is 7 units, segment 𝑋𝑌 is 3 units, and segment 𝑋′𝑌′ is 12.6 units.
a) Suppose 𝑋𝑌 is parallel to 𝑋′𝑌′. Is triangle Δ𝑂𝑋𝑌 similar to triangle Δ𝑂𝑋′𝑌′? Explain.
b) What is the length of segment 𝑂𝑋′?
c) What is the length of segment 𝑂𝑌′?
13) Two triangles are similar. The sides of the first triangle are 7, 9, and 11. The smallest side of the second
triangle is 21. Determine the perimeter of the second triangle.
14) At a certain time of the day, the shadow of a 5' boy is 8' long. The shadow of a tree at this same time is 28'
long. How tall is the tree?
15) Use the diagram to the right, to answer each question. Let m  CFB = 125°.
a) What is the m  CFE? _________
b) What is the m  AFC _________
c) What is the m  AFD? _________
d) Name the angle vertical to  CFB. _________
e) Name an angle adjacent to  BFD. _________
f) Name an angle supplementary to  AFC. _________
16) Determine the measure of each angle in the diagram below.
m  1 = ________
m  2 = ________
m  3 = ________
m  4 = ________
m  5 = ________
17) What is the value of x in the diagram to the right? Explain how you know.
18) Use the diagram below to answer the following questions.
a) Which angle is alternate exterior to  2? _______
b) Which angle is corresponding to  8? _______
c)
Which angle is alternate interior to  3? _______
d) If the m  1 = 109°, then what is the m  7? Explain how you know.
19) True or False: An obtuse triangle has one or more obtuse angles. ___________
21) Determine the value of each variable.
a = _________
b = _________
c = _________
22) What is the value of y in the diagram below? Show your work!
23) In the diagram below, determine the measure of angle KLJ. Explain in detail how you know you are
correct.