IXL - Proofs involving quadrilaterals (Geometry practice)

Complete the proof that

≅

	Statement	Reason
1	segmentsegmentFG is congruent to segmentsegmentGH	Given
2	segmentsegmentHI is congruent to segmentsegmentFI	Given
3	segmentsegmentGI is congruent to segmentsegmentGI	Reflexive Property of Congruence
4	△FGI is congruent to △HGI	SSS
5	∠FGI is congruent to ∠HGI	CPCTC
6	segmentsegmentGJ is congruent to segmentsegmentGJ	Reflexive Property of Congruence
7	△FGJ is congruent to △HGJ	SAS
8	segmentsegmentFJ is congruent to segmentsegmentHJ

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Learn with an example

Complete the proof that

∥

	Statement	Reason
1	segmentsegmentQT is congruent to segmentsegmentRS	Given
2	segmentsegmentQR is congruent to segmentsegmentST	Given
3	segmentsegmentQS is congruent to segmentsegmentQS	Reflexive Property of Congruence
4	△QST is congruent to △SQR	SSS
5	∠QST is congruent to ∠RQS	CPCTC
6	segmentsegmentQR is parallel to segmentsegmentST	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 Alternate Interior Angles Theorem lets you deduce

∥

from

∠

QST

≅

∠

RQS

in line 5.

	Statement	Reason
1	segmentsegmentQT is congruent to segmentsegmentRS	Given
2	segmentsegmentQR is congruent to segmentsegmentST	Given
3	segmentsegmentQS is congruent to segmentsegmentQS	Reflexive Property of Congruence
4	△QST is congruent to △SQR	SSS
5	∠QST is congruent to ∠RQS	CPCTC
6	segmentsegmentQR is parallel to segmentsegmentST	Converse of Alternate Interior Angles Theorem

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