Geometry - Parallel Lines And Transversals Chapter 3 Test

20 Questions | By Pbenanti | Updated: Mar 22, 2022 | Attempts: 473

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Geometry - Parallel Lines And Transversals Chapter 3 Test - Quiz

Geometry - Parallel Lines and TransversalsG. CO. 1 G. CO. 12 G. CO. 9 G. GPE. 5 G. MG. 3

Questions and Answers

1.

Find the value of the variable(s) in the figure. Explain your reasoning.
2.

Classify the relationship between 8 and 14.
- A.
  
  Same Side Interior
- B.
  
  Alternate Interior
- C.
  
  Alternate Exterior
- D.
  
  Corresponding
3.

Classify the relationship between 3 and 10.
- A.
  
  Alternate Interior
- B.
  
  Corresponding
- C.
  
  Alternate Exterior
- D.
  
  Same Side Interior
4.

In the figure, m 2 = 92 and m 12 = 74. Find the m10 and tell which postulate or theorem you used.
- A.
  
  92; Corresponding Angles Theorem
- B.
  
  92; Alternate Interior Angles Theorem
- C.
  
  88; Same Side Interior Angles Theorem
- D.
  
  88; Supplementary Angles Theorem
5.

In the figure, m 2 = 92 and m 12 = 74. Find the m9 and tell which postulate or theorem you used.
- A.
  
  92; Corresponding Angles Theorem; Supplementary Angles
- B.
  
  92; Vertical Angles; Alternate Interior Angles
- C.
  
  88; Vertical Angles; Alternate Interior Angles
- D.
  
  88; Corresponding Angles Theorem; Supplementary Angles
6.

Find the (Hint: Draw an auxiliary line.)
- A.
  
  130
- B.
  
  100
- C.
  
  50
- D.
  
  80
7.

Name a segment that is skew to.
- A.
  
  Segment VZ
- B.
  
  Segment QR
- C.
  
  Segment QU
- D.
  
  Segment WX
8.
- A.
  
  Line BD || Line EG; Converse Same Side Interior Angles Theorem
- B.
  
  Line BD || Line EG; Converse Alternate Interior Angles Theorem
- C.
  
  Line BF || Line CG; Converse Same Side Interior Angles Theorem
- D.
  
  Line BF || Line CG; Converse Alternate Interior Angles Theorem
9.
- A.
  
  Line BF || Line CG; Converse Same Side Interior Angles Theorem
- B.
  
  Line BF || Line CG; Converse Alternate Interior Angles Theorem
- C.
  
  Line BD || Line EG; Converse Alternate Interior Angles Theorem
- D.
  
  Line BD || Line EG; Converse Same Side Interior Angles Theorem
10.

Construct the segment that represents the distance from T to
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
11.

Find the value of x and y.
12.

Find the value of x and y.
13.

Find x so that . Identify the postulate or theorem you used.
14.

If l || m, find the value of x and the measure of each angle. l m
15.

Find x so that l || m. Identify the postulate or theorem you used.
16.

StatementReason (Select the correct letter)1∠CBD ≅ ∠BFEGiven2∠CBD ≅ ∠ABF19)3∠ABF ≅ ∠BFE20)XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
- A.
  
  Definition of congruent angles
- B.
  
  Vertical angles are congruent
- C.
  
  Reflexive property of congruence
- D.
  
  Symmetric property of congruence
- E.
  
  Transitive property of congruence
17.

StatementReason (Select the correct letter)1∠CBD ≅ ∠BFEGiven2∠CBD ≅ ∠ABF19)XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3∠ABF ≅ ∠BFE20)
- A.
  
  Definition of congruent angles
- B.
  
  Vertical angles are congruent
- C.
  
  Reflexive property of congruence
- D.
  
  Symmetric property of congruence
- E.
  
  Transitive property of congruence
18.

StatementReason (Select the correct letter)1m∠CBD = m∠BFEGiven2m∠CBD + m∠DBF = 180º21)3m∠BFE + m∠DBF = 180º22)XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
- A.
  
  Angles that form a linear pair are supplementary
- B.
  
  Angles that are adjacent are supplementary
- C.
  
  Reflexive property of equality
- D.
  
  Substitution property of equality
- E.
  
  Transitive property of equality
19.

StatementReason (Select the correct letter)1m∠CBD = m∠BFEGiven2m∠CBD + m∠DBF = 180º21)XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3m∠BFE + m∠DBF = 180º22)
- A.
  
  Angles that form a linear pair are supplementary
- B.
  
  Angles that are adjacent are supplementary
- C.
  
  Reflexive property of equality
- D.
  
  Substitution property of equality
- E.
  
  Transitive property of equality