Triangle DEF is similar to triangle XYZ. If the lengths of DE and XY are 4 cm an

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Question: Triangle DEF is similar to triangle XYZ. If the lengths of DE and XY are 4 cm and 8 cm respectively, what is the ratio of the areas of the triangles?

Options:

1:2
1:4
1:8
1:16

Correct Answer: 1:4

Solution:

The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. (4/8)^2 = 1/4.

Triangle DEF is similar to triangle XYZ. If the lengths of DE and XY are 4 cm an

Practice Questions

Triangle DEF is similar to triangle XYZ. If the lengths of DE and XY are 4 cm and 8 cm respectively, what is the ratio of the areas of the triangles?

1:2
1:4
1:8
1:16

Questions & Step-by-Step Solutions

Triangle DEF is similar to triangle XYZ. If the lengths of DE and XY are 4 cm and 8 cm respectively, what is the ratio of the areas of the triangles?

Similarity of Triangles – Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.
Area Ratio of Similar Triangles – The ratio of the areas of similar triangles is equal to the square of the ratio of their corresponding side lengths.

Triangle DEF is similar to triangle XYZ. If the lengths of DE and XY are 4 cm an

What’s inside this PDF?

Triangle DEF is similar to triangle XYZ. If the lengths of DE and XY are 4 cm an

Practice Questions

Questions & Step-by-Step Solutions

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