IXL - Proofs involving parallel lines II (Geometry practice)

Complete the proof that

∠

WXY

≅

∠

XYZ

	Statement	Reason
1	∠VWZ is congruent to ∠VZW	Given
2	segmentlineXY is parallel to segmentlineWZ	Given
3	∠XYZ is congruent to ∠VZW	Corresponding Angles Theorem
4	∠WXY is congruent to ∠VWZ	Corresponding Angles Theorem
5	∠WXY is congruent to ∠VZW	Transitive Property of Congruence
6	∠WXY is congruent to ∠XYZ

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question

Complete the proof that

∠

SUT

≅

∠

YXZ

	Statement	Reason
1	segmentlineEG is parallel to segmentlineWY	Given
2	segmentlineTV is parallel to segmentlineEG	Given
3	∠YXZ is congruent to ∠GFZ	Corresponding Angles Theorem
4	∠GFZ is congruent to ∠SUT	Alternate Exterior Angles Theorem
5	∠SUT is congruent to ∠YXZ	Text field with dropdown. Use the down arrow key to hear the options, press spacebar to select.

solution

Choose the reason that justifies the statement on line 5. The Transitive Property of Congruence lets you deduce

∠

SUT

≅

∠

YXZ

from

∠

YXZ

≅

∠

GFZ

in line 3 and

∠

GFZ

≅

∠

SUT

in line 4.

	Statement	Reason
1	segmentlineEG is parallel to segmentlineWY	Given
2	segmentlineTV is parallel to segmentlineEG	Given
3	∠YXZ is congruent to ∠GFZ	Corresponding Angles Theorem
4	∠GFZ is congruent to ∠SUT	Alternate Exterior Angles Theorem
5	∠SUT is congruent to ∠YXZ	Transitive Property of Congruence

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Lesson: Transversals of parallel lines

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D.7Proofs involving parallel lines I

Lesson: Transversals of parallel lines

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