IXL - Prove similarity statements (Geometry practice)

or

Complete the proof that

△

QS

T

~

△

PS

R

.

Q

T

P

R

S

	Statement	Reason
1	∠Q is congruent to ∠P	Given
2	∠PSR is congruent to ∠QST	Vertical Angle Theorem
3	△QST is similar to △PSR

ref_doc_title.

or

Learn with an example

question

Complete the proof that

△

ST

W

~

△

UV

W

.

T

S

V

U

W

	Statement	Reason
1	∠T is congruent to ∠V	Given
2	∠UWV is congruent to ∠SWT	Vertical Angle Theorem
3	△STW is similar to △UVW	Text field with dropdown. Use the down arrow key to hear the options, press spacebar to select.

solution

Choose the reason that justifies the statement on line 3. The AA Similarity Theorem lets you deduce

△

ST

W

~

△

UV

W

from

∠

T

≅

∠

V

in line 1 and

∠

UWV

≅

∠

SWT

in line 2.

Looking for more? Try these:

Lesson: Proofs with similar triangles

or

$Confetti$

Excellent!

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Work it out

Not feeling ready yet? These can help:

M.8Similarity rules for triangles

Lesson: Proofs with similar triangles