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Created by Elexali Olayvar
over 3 years ago
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A.
Statement: ∠1 ≅ ∠8 and ∠2 ≅ ∠7
Reason: Congruent Supplements Theorem
B.
Statement: m∠3 + m∠4 = 180° and m∠7 + m∠8 = 180°
Reason: Linear Pair Theorem
C.
Statement: m∠3 + m∠5 = 180° and m∠4 + m∠6 = 180°
Reason: definition of supplementary angles
D.
Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5
Reason: Vertical Angles Theorem
What is the next step in the proof? Choose the most logical approach.
A.
Statement: ∠6 ≅ ∠14
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.
B.
Statement: ∠6 ≅ ∠7
Reason: Vertical Angles Theorem
C.
Statement: ∠6 and ∠5 are supplementary.
Reason: Linear Pair Theorem
D.
Statement: m∠6 + m∠8 = 180°
Reason: angle addition
What is the reason for the fourth and eighth steps in the proof?
A.
ASA criterion for congruent triangles
B.
Alternate Interior Angles Theorem
C.
Transitive Property of Equality
D.
Perpendicular Bisector Theorem
Transversal t cuts parallel lines r and s as shown in the diagram. Which theorem does the diagram illustrate?
A.
Alternate Interior Angles Theorem
B.
Alternate Exterior Angles Theorem
C.
Same-Side Interior Angles Theorem
D.
Corresponding Angles Theorem
A.
73.98°
B.
90°
C.
106.02°
D.
180°
