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Parallel lines cut by a transversal

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CCSS Geometry assessment for 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 Page 1 Figur e 1
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Page 1: Parallel lines cut by a transversal

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

Page 2: Parallel lines cut by a transversal

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 =

Page 3: Parallel lines cut by a transversal

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

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13. Fill in the blanks, using the provided bank, of the proof with reasons to support each statement.

Page 4

Page 5: Parallel lines cut by a transversal

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

Page 6: Parallel lines cut by a transversal

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.

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GF

C

D

E H

B

A

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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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