IXL - Proofs involving triangles II (Geometry practice)

∥

Complete the proof that

	Statement	Reason
1	segmentsegmentUX is parallel to segmentsegmentVW	Given
2	∠T is congruent to ∠T	Reflexive Property of Congruence
3	∠TUX is congruent to ∠V	Corresponding Angles Theorem
4	△TUX is similar to △TVW	AA Similarity
5	segmentTV/segmentTU equals segmentTW/segmentTX	Definition of similarity
6	segmentTV equals segmentTU plus segmentUV	Additive Property of Length
7	segmentTW equals segmentTX plus segmentWX	Additive Property of Length
8	(segmentTU plus segmentUV)/segmentTU equals (segmentTX plus segmentWX)/segmentTX	Substitution
9	segmentTU/segmentTU plus segmentUV/segmentTU equals segmentTX/segmentTX plus segmentWX/segmentTX	Properties of addition, subtraction, multiplication, and division
10	1 plus segmentUV/segmentTU equals 1 plus segmentWX/segmentTX
11	segmentUV/segmentTU equals segmentWX/segmentTX	Properties of addition, subtraction, multiplication, and division

ref_doc_title.

Learn with an example

is the midpoint of

and

is the midpoint of

Complete the proof that

∥

	Statement	Reason
1	V is the midpoint of segmentsegmentRU	Given
2	S is the midpoint of segmentsegmentRT	Given
3	segmentRV equals segmentRU/2	Definition of midpoint
4	segmentRS equals segmentRT/2	Definition of midpoint
5	segmentRV/segmentRU equals 1/2	Properties of addition, subtraction, multiplication, and division
6	segmentRS/segmentRT equals 1/2	Properties of addition, subtraction, multiplication, and division
7	segmentRS/segmentRT equals segmentRV/segmentRU	Text field with dropdown. Use the down arrow key to hear the options, press spacebar to select.
8	∠R is congruent to ∠R	Reflexive Property of Congruence
9	△RSV is similar to △RTU	SAS Similarity
10	∠RSV is congruent to ∠T	Definition of similarity
11	segmentsegmentTU is parallel to segmentsegmentSV	Converse of Corresponding Angles Theorem

Choose the reason that justifies the statement on line 7. The Transitive Property of Equality lets you deduce

from

1/2

in line 5 and

1/2

in line 6.

	Statement	Reason
1	V is the midpoint of segmentsegmentRU	Given
2	S is the midpoint of segmentsegmentRT	Given
3	segmentRV equals segmentRU/2	Definition of midpoint
4	segmentRS equals segmentRT/2	Definition of midpoint
5	segmentRV/segmentRU equals 1/2	Properties of addition, subtraction, multiplication, and division
6	segmentRS/segmentRT equals 1/2	Properties of addition, subtraction, multiplication, and division
7	segmentRS/segmentRT equals segmentRV/segmentRU	Transitive Property of Equality
8	∠R is congruent to ∠R	Reflexive Property of Congruence
9	△RSV is similar to △RTU	SAS Similarity
10	∠RSV is congruent to ∠T	Definition of similarity
11	segmentsegmentTU is parallel to segmentsegmentSV	Converse of Corresponding Angles Theorem

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