If triangle ABC is similar to triangle DEF with a scale factor of 2, and the are

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Question: If triangle ABC is similar to triangle DEF with a scale factor of 2, and the area of triangle ABC is 50 cm², what is the area of triangle DEF?

Options:

100 cm²
200 cm²
150 cm²
250 cm²

Correct Answer: 200 cm²

Solution:

The area of similar triangles is proportional to the square of the scale factor. Area of DEF = 50 * (2^2) = 200 cm².

If triangle ABC is similar to triangle DEF with a scale factor of 2, and the are

Practice Questions

If triangle ABC is similar to triangle DEF with a scale factor of 2, and the area of triangle ABC is 50 cm², what is the area of triangle DEF?

100 cm²
200 cm²
150 cm²
250 cm²

Questions & Step-by-Step Solutions

If triangle ABC is similar to triangle DEF with a scale factor of 2, and the area of triangle ABC is 50 cm², what is the area of triangle DEF?

Similarity of Triangles – Triangles are similar if their corresponding angles are equal and their sides are in proportion.
Scale Factor – The scale factor is the ratio of the lengths of corresponding sides of similar triangles.
Area Proportionality – The areas of similar triangles are proportional to the square of the scale factor.

If triangle ABC is similar to triangle DEF with a scale factor of 2, and the are

What’s inside this PDF?

If triangle ABC is similar to triangle DEF with a scale factor of 2, and the are

Practice Questions

Questions & Step-by-Step Solutions

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