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Unit 3 - Geometry
8R Unit 3 Review Sheet
Date ______________
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 corresponding angles are ___________ and ___________.
e) A pair of supplementary angles are ___________ and ___________.
2) Solve for the variable specified in each diagram.
a)
b)
c)
3) In triangle PQR below, m  P = 66°.
a) What is the measure of  Q?
b) Classify the triangle by its angles and side lengths.
4) In the diagram below rays g and h are parallel. Triangle JKL has vertices J and L on ray J and vertex K on ray
h. The sum of the measures of angle 1 and angle 2 is 152 degrees. What is the measure of angle 3?
5) If two angles are supplementary and one angle measures 30°, then what is the measure of the other angle?
6) If two angles are complementary and one angle measures 50°, then what is the measure of the other angle?
7) 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 = ________
8) A triangle undergoes a dilation of 2 and then a reflection over the x-axis. After both transformations, Joe
says the two triangles are congruent. Is he correct? Explain.
9) Giselle will transform XYZ, as shown below, using only rotations, translations, and reflections. What is the
length of the image of XY after Giselle transforms the figure?
10) In the diagram below, triangle ABC is similar to triangle DEF. Name the pairs of corresponding, congruent
angles and name the ratios of corresponding proportional side lengths for these triangles.
11) Segment AB was dilated to A’B’ by a scale factor of 4. If AB = 3.5, what is the length of A’B’?
12) In the diagram to the right, XYZ
RST .
a) What is the length of RT?
b) What is the ratio of triangle XYZ to triangle RST?
c) What is the scale factor?
13) In the diagram below, ABC
DEF . What is the length of DE?
14) 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) What is the length of segment 𝑂𝑋′?
b) What is the length of segment 𝑂𝑌′?