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Valentin [98]
3 years ago
14

I need help ASAP 10 Points!!!

Mathematics
1 answer:
swat323 years ago
4 0

Purple color figure is similar to the original figure.

<u>Solution:</u>

Property of similar polygon:

<em>Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.</em>

(1) <u>Compare original figure with green color figure:</u>

Angles of the original figure:

37°, 53° and 90°.

Angles of the green color figure:

67°, 23° and 90°

These two angles of the triangles not congruent angles.

Hence these shapes are not similar.

(2) <u>Compare original figure with yellow color figure:</u>

Angles of the original figure:

37°, 53° and 90°.

Angles of the yellow color figure:

67°, 23° and 90°

These two angles of the triangles are not congruent angles.

Hence these shapes are not similar.

(3) <u>Compare original figure with purple color figure:</u>

Angles of the original figure:

37°, 53° and 90°

Angles of the purple color figure:

37°, 53° and 90°

These two triangles have same shape and congruent angles.

Ratio of the sides:

$\frac{3}{6}=\frac{1}{2} , \ \frac{4}{8}=\frac{1}{2} , \ \frac{5}{10}=\frac{1}{2}

These two triangles have same ratio.

Hence these shapes are similar.

Hence purple color figure is similar to the original figure.

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