IXL - Proving triangles congruent by ASA and AAS (Geometry practice)

Complete the proof that

△

≅

△

	Statement	Reason
1	segmentsegmentUV is perpendicular to segmentsegmentTW	Given
2	∠UTW is congruent to ∠VTW	Given
3	∠TWU is congruent to ∠TWV	All right angles are congruent
4	segmentsegmentTW is congruent to segmentsegmentTW	Reflexive Property of Congruence
5	△TVW is congruent to △TUW

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question

Complete the proof that

△

≅

△

	Statement	Reason
1	segmentsegmentRS is perpendicular to segmentsegmentST	Given
2	∠QTU is congruent to ∠RTS	Given
3	segmentsegmentTU is perpendicular to segmentsegmentQU	Given
4	segmentsegmentST is congruent to segmentsegmentTU	Given
5	∠U is congruent to ∠S	All right angles are congruent
6	△RST is congruent to △QUT	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 6. ASA lets you deduce

△

≅

△

from

∠

QTU

≅

∠

RTS

in line 2,

≅

in line 4, and

∠

≅

∠

in line 5.

	Statement	Reason
1	segmentsegmentRS is perpendicular to segmentsegmentST	Given
2	∠QTU is congruent to ∠RTS	Given
3	segmentsegmentTU is perpendicular to segmentsegmentQU	Given
4	segmentsegmentST is congruent to segmentsegmentTU	Given
5	∠U is congruent to ∠S	All right angles are congruent
6	△RST is congruent to △QUT	ASA

Looking for more? Try these:

Lesson: Proofs with congruent triangles

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L.4ASA and AAS Theorems

Lesson: Proofs with congruent triangles

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