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Geometry/Trig
Name: ___________________
Date: ____________________
Unit 8 Test Review - Special Angle Pairs and parallel lines
Directions: Complete the following review assignment to the best of your ability. This assignment will be
collected and graded on the day of the test.
To receive full credit, you must complete the following:
 Show all of your work
 Check your work using the answer key
 Show evidence of checking your work
(correct any mistakes in a different color.
If your answer is correct, put a check mark).
Special Angle Types
Example
Description
Across from each other over a vertex
Relationships
always congruent
Vertical angles
∠2 & ∠3
Adjacent angles that form a line
two angles that add
up to 180 degrees
∠3 & ∠6
Opposite sides of the transversal and
inside the lines
Congruent when
lines are∥
∠2 & ∠7
Opposite sides of the transversal and
outside the lines
Congruent when
lines are∥
Corresponding angles
∠1 & ∠5
In the “same position” or “same corner”
of the transversal & lines
Congruent when
lines are∥
Same-side interior
∠3 & ∠5
Same side of the transversal and inside
the lines
Supplementary
when lines are∥
Same side exterior
angles
∠2 & ∠8
Same side of the transversal and outside
the lines
Supplementary
when lines are∥
Supplementary angles
Alternate Interior
Angles
Alternate Exterior
Angles
∠3 & ∠4
When justifying parallel lines you need to include
1. Type of angle pair
Justifying that Lines
are Parallel
2. Relationship
3. State if the relationship is true (from diagram)
4. Conclusion
Geometry/Trig
1) Given the accompanying diagram: Identify the type of angle pair and the
relationship between ∡3 & ∡7, given that lines p and q are parallel. Explain
how you know your answer.
2) In the diagram below, line p intersects line m and line n.
If
and
, lines m and n are parallel when x equals
3) Investigate the two drawings. What angle relationships are shown for each drawing? State whether AB is parallel to
CD in each drawing. EXPLAIN YOUR REASONING. Extend your lines!
Geometry/Trig
4) Lines j and k intersect at point p forming angles 1, 2, 3, and 4. If the m< 3 = 25 what is the m<1? What special angle
pair are they? Draw and label a diagram first!!
5) Solve for x, given that the two lines cut by a
transversal are parallel, and
< 1 = 𝑥 + 10 and < 7 = 2𝑥 − 40
Find the value of x.
6) A pair of same side interior angles are in a ratio of 3 : 6. Find each angle.
6) Is Franklin Way parallel to Chavez Ave? Justify your response.
Geometry/Trig
7) Use the diagram to help you answer questions a-b. The diagram includes parallel lines cut by a
transversal.
a) Given the diagram below, name a pair of alternate exterior angles. (1 point)
b) Name a pair of same side interior angles. (1 point)
c) You are given that m<7=32o. What is the m<1? (1 point)
d) You are given that <3 = x+20 and <6 = 3x + 12. What is the m<6? (3 points)
e) You are given that <1 = 12x – 12 and <5 = 10x + 10. What is the m<1? (3 points)
8) Is GH parallel to JI? Justify your answer. (3 points)
115
60
9) Find the value of x.
Geometry/Trig
10) If the measure of angle #1 is 20, the measure of angle #3 is 110 and the measure of angle 6 is 70, prove that
lines GH//DK.
11)
Geometry/Trig
12) Using the picture at the right, state the type and relationship for each pair of angles given.
(a) ∠1 𝑎𝑛𝑑 ∠5
Type: __________________________________________________
Relationship: ________________________________________
(b) ∠2 𝑎𝑛𝑑 ∠8
Type: __________________________________________________
Relationship: ________________________________________
(c) ∠4 𝑎𝑛𝑑 ∠5
Type: __________________________________________________
Relationship: ________________________________________
(d) ∠4 𝑎𝑛𝑑 ∠6
Type: __________________________________________________
Relationship: ________________________________________
13) Solve for x:
14) The measures of two supplementary angles are in the ratio 2 : 3. Find the measure of each angle.
Geometry/Trig
15) Solve for angles 1, 2, and 3 in the diagram below. Show your work clearly!