IXL - Transversals of parallel lines: prove angle relationships (Geometry practice)

Complete the proof that

∠

SUV

≅

∠

WXZ

	Statement	Reason
1	segmentlineTV is parallel to segmentlineWY	Given
2	∠WXZ is congruent to ∠TUX	Corresponding Angles Theorem
3	∠TUX is congruent to ∠SUV	Vertical Angle Theorem
4	∠SUV is congruent to ∠WXZ

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Learn with an example

question

Complete the proof that

∠

TWV

∠

STW

180°

	Statement	Reason
1	line VX ∥ line SU	Given
2	∠ TWV ≅ ∠ RTS	Corresponding Angles Theorem
3	m ∠ RTS + m ∠ STW = 180°	Angles forming a linear pair sum to 180°
4	m ∠ TWV + m ∠ STW = 180°

solution

Choose the reason that justifies the statement on line 4. Substitution lets you deduce

∠

TWV

∠

STW

180°

from

∠

TWV

≅

∠

RTS

in line 2 and

∠

RTS

∠

STW

180°

in line 3.

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Lesson: Transversals of parallel lines

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Not feeling ready yet? These can help:

D.4Transversals of parallel lines: find angle measures

C.9Proofs involving angles

Lesson: Transversals of parallel lines

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