IXL - Similarity statements (Geometry practice)

The two triangles below are similar.

28°

76°

28°

76°

Complete the similarity statement.

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question

The two triangles below are similar.

76°

28°

76°

28°

Complete the similarity statement.

△

key idea

Two triangles are similar if and only if corresponding angles are congruent and corresponding sides are proportional.

solution

You know these triangles are similar, but you don't know a specific similarity statement. Look at the triangles to see how they correspond.

76°

28°

76°

28°

You can pair the angles so that corresponding angles are congruent.

∠

≅

∠

≅

∠

≅

∠

Next, look at the sides. All the corresponding sides are proportional.

S
T
A
B
=
10
2
=
5
T
U
B
C
=
10
2
=
5
S
U
A
C
=
5
1
=
5

Since the corresponding angles are congruent and the corresponding sides are proportional,

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Lesson: Similarity

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M.1Ratios in similar figures

Lesson: Similarity

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