IXL - Proofs involving similarity in right triangles (Geometry practice)

Complete the proof that

△

	Statement	Reason
1	segmentsegmentVW is perpendicular to segmentsegmentUV	Given
2	segmentsegmentVX is perpendicular to segmentsegmentUW	Given
3	∠UVW is congruent to ∠VXW	All right angles are congruent
4	∠W is congruent to ∠W	Reflexive Property of Congruence
5	△UVW is similar to △VXW

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Learn with an example

Complete the proof that

△

	Statement	Reason
1	segmentsegmentFH is perpendicular to segmentsegmentGH	Given
2	segmentsegmentHI is perpendicular to segmentsegmentFG	Given
3	∠FHG is congruent to ∠FIH	All right angles are congruent
4	∠F is congruent to ∠F	Reflexive Property of Congruence
5	△FGH is similar to △FHI	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 5. The AA Similarity Theorem lets you deduce

△

from

∠

FHG

≅

∠

FIH

in line 3 and

∠

≅

∠

in line 4.

	Statement	Reason
1	segmentsegmentFH is perpendicular to segmentsegmentGH	Given
2	segmentsegmentHI is perpendicular to segmentsegmentFG	Given
3	∠FHG is congruent to ∠FIH	All right angles are congruent
4	∠F is congruent to ∠F	Reflexive Property of Congruence
5	△FGH is similar to △FHI	AA Similarity

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