# Geometry - Parallel Lines And Transversals Chapter 3 Test

20 Questions | Total Attempts: 212  Settings  Geometry - Parallel Lines and TransversalsG. CO. 1 G. CO. 12 G. CO. 9 G. GPE. 5 G. MG. 3

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• 1.
Classify the relationship between 8 and 14.
• A.

Same Side Interior

• B.

Alternate Interior

• C.

Alternate Exterior

• D.

Corresponding

• 2.
Classify the relationship between 3 and 10.
• A.

Alternate Interior

• B.

Corresponding

• C.

Alternate Exterior

• D.

Same Side Interior

• 3.
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

• 4.
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

• 5.
Find the   (Hint: Draw an auxiliary line.)
• A.

130

• B.

100

• C.

50

• D.

80

• 6.
Name a segment that is skew to.
• A.

Segment VZ

• B.

Segment QR

• C.

Segment QU

• D.

Segment WX

• 7.
• 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

• 8.
• 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

• 9.
Construct the segment that represents the distance from T to
• A.

A

• B.

B

• C.

C

• D.

D

• 10.
Find the value of x and y
• 11.
Find the value of x and y
• 12.
Find x so that . Identify the postulate or theorem you used.
• 13.
If  l || m, find the value of x and the measure of each angle.     l                                    m
• 14.
Find x so that l || m. Identify the postulate or theorem you used.
• 15.
Find the value of the variable(s) in the figure.  Explain your reasoning.
• 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