parallel lines cut by a transversal
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Name: ________________________________ Period:_____________ Date:_________Conceptual Unit 2 Assessment
Use figure 1 for questions 1-4. Check all answers that apply.
1. Which angles are Consecutive Interior Angles?
2 and 7
4 and 5
3 and 8
3 and 6
4 and 7
2. Which angles are Alternate Exterior Angles?
2 and 7
1 and 8
3 and 5
4 and 6
1 and 7
3. Which angles are Corresponding Angles?
1 and 8
3 and 8
4 and 6
4 and 7
1 and 5
4. If q || r then which of the following is true?
2 ≅ 3
1 ≅8
m4 + m5= 180⁰
m2 + m6 = 180⁰
2 ≅ 5
5. Which lines or segments are parallel? Justify your answer.
Page 1
Figure 1
6. In the figure, line a and line b intersect line c and line d to form the angles with the measures shown.
Algebra Find the value of x for which .
7.
8.
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x =
x =
9. In the image shown below, line JK is parallel to line LM. m∠MOP = 8x + 45 and m∠KPN = 10x + 27.
Select all true statements.
x = 9
x = 14
mJPN = 13⁰
mJPO = 117⁰
mLOQ = 157⁰
10. In the diagram, lines a and b are parallel, and line c is not perpendicular to line a.
Determine if the following statements are true or false. Check the correct box for each statement.
11. In the diagram, lines a and b are parallel, and m∠3 = 88⁰.
12.
Page 3
13. Fill in the blanks, using the provided bank, of the proof with reasons to support each statement.
Page 4
In the figure shown, CF intersects AD and EH at points B and F respectively.
Word Bank
Given Given
Definition of congruent angles Transitive property
Vertical angles are congruent Angles that form a linear pair are supplementary
Reflexive property Angles that are adjacent are supplementary
Symmetric property Substitution property
14. A (1,1) B (4,5) C (-3,2) and D (6,0) Is AB ≅ CD? Show work to get credit.
Page 5
Choose which construction matches the diagram for questions 15-16.
15.
16.
17. Determine whether the following equations are parallel, perpendicular or intersecting. Circle the answer.
|| or or
18. Use the figure below to name a line skew to AD that also intersects CG.
Page 6
GF
C
D
E H
B
A
19. Determine the equation of the line that is perpendicular to y = 5x + 4 through (-2,-3) in point slope form.
20. AB has endpoint A (-2, 4) and midpoint P(4, 1). Find the coordinates of the other endpoint (B).
( , )
Extra Credit: Create the equation of the perpendicular bisector of , A (-4,4) B (4,8) in slope intercept form.
Page 7
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