Unit 1 Section 2 Test Review
Name
Date ______________ Period ____
#1-6 Find the value of the variables and justify your solution by listing any theorem(s) or postulate(s)
used.
F
1.
2.
4.
5.
7.
3.
6.
#8-13 Name the relationship between the angles and whether the angles are congruent or supplementary.
8.
11.
9.
12.
10.
13.
m
7
n
Use the figure above for Exercises 14–17. Tell whether lines m and n
must be parallel from the given information. If they are, state
your reasoning. (Hint: The angle measures may change for
each exercise, and the figure is for reference only.)
14.   4
________________________________________
16. 7  2
________________________________________
15. m6(x10)°, m2(x15)
__________________________________________
17. m3(5x3)°, m5(8x  5), x14
__________________________________________
18. Given r  s. Explain why the measure of <1 is not 45◦.
____________________________________________________________________________
19. If 3  5, then r  s by which theorem?
_________________________________
20.
Prove the following using a paragraph, flow chart, or 2-column proof.
Given: ∡6 ≅ ∡4
Prove : r ll s
Constructions
Leave all construction markings for credit. Mark all congruent angles and segments.
21. Construct a line segment of the same length as 𝐴𝐵 through point C.
A
B
.
C
22. Construct a copy of the angle with the vertex at the new point.
B
.
C
C
A
D
C
23. Construct the bisector of segment 𝐴𝐵 .
A
B
24. Construct the angle bisector of ∠𝐴𝐵𝐶
A
B
C
25. Construct a parallel line through a point.
.
A
B
26. Construct segment AB + CD.
C
A
D
B
27. Construct an angle 2 times larger than angle ABC
A
B
C
28. Define the following terms:
Parallel lines -- ____________________________________________________________________________________
Transversal -- ______________________________________________________________________________________
Converse (of a conditional statement)-__________________________________________________________________________________________________
Unit1 Section 1 Test Review KEY
1. x = 81 o, y = 81 o
Vertical Angles Theorem
Corresponding Angles Postulate
2. x = y = 82 o, Linear Pair Theorem
Alternate Interior Angles Theorem
3. x = y = 90 o, Alternate Exterior Angles Theorem
and Linear Pair Theorem
4. x = 19, Alternate Interior Angles Theorem
5. x = 34, Corresponding Angles Postulate
6. x = 28.5, Consecutive Interior Angles Theorem
7.
a. Given
b. Corresponding Angles Postulate
c. All vertical angles are congruent
(Vertical Angles Theorem)
d. Transitive Property of Congruence
8. Corresponding Angles, Congruent
9. Alternate Interior Angles, Congruent
10. Consecutive (Same Side) Interior Angles,
Supplementary
11. Alternate Exterior Angles, Congruent
12. Vertical Angles, Congruent
13. Linear Pair Angles, Supplementary
14. Yes, by Corresponding Angles Converse Postulate.
15. No, not parallel.
16. Yes, by Alternate Exterior Angles Converse Theorem.
17. Yes, by Consecutive (Same Side) Interior Angle
Converse Theorem
18. <1 must be 135◦ by Corresponding Angles Converse
Postulate.
19. Alternate Interior Angles Converse Theorem
20. It is given that ∡6 ≅ ∡4. ∡6 𝑎𝑛𝑑 ∡4 are Alternate
Interior Angles, by the definition of Alternate Interior
Angles. Then by the Alternate Interior Angle Converse
Theorem, r∥s.∴
Note: Answers 21 – 27 are not drawn to scale. You will be graded on not only the accuracy (so your answers must be
drawn to scale) but also the proper markings for construction.
21.
22.
23. Paper must be folded in a way to show both ends met and
crease made in the center of segment.
24.
25.
26.
27.
28. Parallel Lines – Lines in the same plane that do not intersect (no points in common).
Transversal – A line that intersects two or more lines.
Converse – Switching the hypothesis and conclusion of a conditional statement.