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

Complete the proof that

△

≅

△

	Statement	Reason
1	segmentsegmentJK is congruent to segmentsegmentIK	Given
2	segmentsegmentHK is congruent to segmentsegmentGK	Given
3	∠GKJ is congruent to ∠HKI	Vertical Angle Theorem
4	△HIK is congruent to △GJK

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Learn with an example

is the midpoint of

Complete the proof that

△

≅

△

	Statement	Reason
1	V is the midpoint of segmentsegmentTU	Given
2	segmentsegmentSU is congruent to segmentsegmentST	Given
3	segmentsegmentTV is congruent to segmentsegmentUV	Definition of midpoint
4	segmentsegmentSV is congruent to segmentsegmentSV	Reflexive Property of Congruence
5	△STV is congruent to △SUV	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. SSS lets you deduce

△

≅

△

from

≅

in line 2,

≅

in line 3, and

≅

in line 4.

	Statement	Reason
1	V is the midpoint of segmentsegmentTU	Given
2	segmentsegmentSU is congruent to segmentsegmentST	Given
3	segmentsegmentTV is congruent to segmentsegmentUV	Definition of midpoint
4	segmentsegmentSV is congruent to segmentsegmentSV	Reflexive Property of Congruence
5	△STV is congruent to △SUV	SSS

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