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

Complete the proof that

△

≅

△

	Statement	Reason
1	segmentsegmentXY is congruent to segmentsegmentYZ	Given
2	segmentsegmentVZ is perpendicular to segmentsegmentYZ	Given
3	segmentsegmentWX is perpendicular to segmentsegmentXY	Given
4	∠WYX is congruent to ∠VYZ	Given
5	∠Z is congruent to ∠X	All right angles are congruent
6	△VYZ is congruent to △WYX

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Learn with an example

question

∥

Complete the proof that

△

≅

△

	Statement	Reason
1	segmentsegmentTW is parallel to segmentsegmentSV	Given
2	segmentsegmentTW is congruent to segmentsegmentSV	Given
3	∠V is congruent to ∠W	Given
4	∠TSV is congruent to ∠UTW	Corresponding Angles Theorem
5	△TUW is congruent to △STV	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. ASA lets you deduce

△

≅

△

from

≅

in line 2,

∠

≅

∠

in line 3, and

∠

TSV

≅

∠

UTW

in line 4.

Looking for more? Try these:

Lesson: Proofs with congruent triangles

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Work it out

Not feeling ready yet? These can help:

L.6SSS, SAS, ASA, and AAS Theorems

L.3Proving triangles congruent by SSS and SAS

L.5Proving triangles congruent by ASA and AAS

Lesson: Proofs with congruent triangles

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