IXL - Transversals: prove lines are parallel (Geometry practice)

∠

RTS

and

∠

VWY

are supplementary. Complete the proof that

∥

	Statement	Reason
1	∠RTS and ∠VWY are supplementary	Given
2	measure of angle RTS plus measure of angle VWY equals 180 degrees	Definition of supplementary angles
3	measure of angle RTS plus measure of angle STW equals 180 degrees	Angles forming a linear pair sum to 180 degrees
4	measure of angle RTS plus measure of angle VWY equals measure of angle RTS plus measure of angle STW	Transitive Property of Equality
5	measure of angle VWY equals measure of angle STW	Properties of addition, subtraction, multiplication, and division
6	segmentlineVX is parallel to segmentlineSU

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Learn with an example

∠

RUV

and

∠

SRU

are supplementary. Complete the proof that

∥

	Statement	Reason
1	∠RUV and ∠SRU are supplementary	Given
2	measure of angle RUV plus measure of angle SRU equals 180 degrees	Definition of supplementary angles
3	measure of angle PRS plus measure of angle SRU equals 180 degrees	Angles forming a linear pair sum to 180 degrees
4	measure of angle RUV plus measure of angle SRU equals measure of angle PRS plus measure of angle SRU	Transitive Property of Equality
5	measure of angle RUV equals measure of angle PRS	Properties of addition, subtraction, multiplication, and division
6	segmentlineTV is parallel to segmentlineQS	Text field with dropdown. Use the down arrow key to hear the options, press spacebar to select.

Choose the reason that justifies the statement on line 6. The Converse of Corresponding Angles Theorem lets you deduce

∥

from

∠

RUV

∠

PRS

in line 5.

	Statement	Reason
1	∠RUV and ∠SRU are supplementary	Given
2	measure of angle RUV plus measure of angle SRU equals 180 degrees	Definition of supplementary angles
3	measure of angle PRS plus measure of angle SRU equals 180 degrees	Angles forming a linear pair sum to 180 degrees
4	measure of angle RUV plus measure of angle SRU equals measure of angle PRS plus measure of angle SRU	Transitive Property of Equality
5	measure of angle RUV equals measure of angle PRS	Properties of addition, subtraction, multiplication, and division
6	segmentlineTV is parallel to segmentlineQS	Converse of Corresponding Angles Theorem

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