IXL - Proofs involving corresponding parts of congruent triangles (Geometry practice)

is the midpoint of

Complete the proof that

≅

	Statement	Reason
1	T is the midpoint of segmentsegmentRS	Given
2	segmentsegmentQT is perpendicular to segmentsegmentRS	Given
3	∠QTR is congruent to ∠QTS	All right angles are congruent
4	segmentsegmentRT is congruent to segmentsegmentST	Definition of midpoint
5	segmentsegmentQT is congruent to segmentsegmentQT	Reflexive Property of Congruence
6	△QRT is congruent to △QST	SAS
7	segmentsegmentQS is congruent to segmentsegmentQR

ref_doc_title.

Learn with an example

is the midpoint of

and

∠

≅

∠

Complete the proof that

≅

	Statement	Reason
1	T is the midpoint of segmentsegmentPR	Given
2	∠R is congruent to ∠P	Given
3	segmentsegmentPT is congruent to segmentsegmentRT	Text field with dropdown. Use the down arrow key to hear the options, press spacebar to select.
4	∠PTS is congruent to ∠QTR	Vertical Angle Theorem
5	△PST is congruent to △RQT	ASA
6	segmentsegmentQR is congruent to segmentsegmentPS	CPCTC

Choose the reason that justifies the statement on line 3. The definition of midpoint lets you deduce

≅

from

is the midpoint of

in line 1.

	Statement	Reason
1	T is the midpoint of segmentsegmentPR	Given
2	∠R is congruent to ∠P	Given
3	segmentsegmentPT is congruent to segmentsegmentRT	Definition of midpoint
4	∠PTS is congruent to ∠QTR	Vertical Angle Theorem
5	△PST is congruent to △RQT	ASA
6	segmentsegmentQR is congruent to segmentsegmentPS	CPCTC

Looking for more? Try these:

$Confetti$

Now entering the Challenge Zone—are you ready?

hr	min	sec
00	00	06

Teacher tools

Work it out

Not feeling ready yet? These can help: