If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 c

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What’s inside this PDF?

Question: If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 cm and 8 cm respectively, what is the ratio of the areas of the two 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 = (1/2)^2 = 1/4.

If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 c

Practice Questions

If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 cm and 8 cm respectively, what is the ratio of the areas of the two triangles?

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

Questions & Step-by-Step Solutions

If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 cm and 8 cm respectively, what is the ratio of the areas of the two triangles?

Similarity of Triangles – Understanding that similar triangles have proportional sides and that the ratio of their areas is the square of the ratio of their corresponding sides.
Area Ratio Calculation – Calculating the area ratio using the formula that relates the ratio of the sides to the ratio of the areas.

If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 c

What’s inside this PDF?

If triangle DEF is similar to triangle GHI, and the lengths of DE and GH are 4 c

Practice Questions

Questions & Step-by-Step Solutions

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