IXL - Proofs involving SAS (Geometry practice)

is the midpoint of

and

Complete the proof that

△

≅

△

	Statement	Reason
1	K is the midpoint of segment HJ	Given
2	K is the midpoint of segment GI	Given
3	segment HK ≅ segment JK	Definition of midpoint
4	segment GK ≅ segment IK	Definition of midpoint
5	∠ GKJ ≅ ∠ HKI	Vertical Angle Theorem
6	△ GJ K ≅ △ IH K

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Learn with an example

Complete the proof that

△

≅

△

	Statement	Reason
1	segmentsegmentVW is congruent to segmentsegmentUW	Given
2	segmentsegmentSW is congruent to segmentsegmentTW	Given
3	∠SWV is congruent to ∠TWU	Vertical Angle Theorem
4	△TUW is congruent to △SVW	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 4. SAS lets you deduce

△

≅

△

from

≅

in line 1,

≅

in line 2, and

∠

SWV

≅

∠

TWU

in line 3.

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