Two triangles are similar with corresponding linear ratio 3:2. What is the ratio of their areas?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

Two triangles are similar with corresponding linear ratio 3:2. What is the ratio of their areas?

Explanation:
When similar figures share a linear scale, their areas relate by the square of that scale factor. If corresponding sides are in a 3:2 ratio, the areas compare as 3^2 to 2^2, which is 9:4. Therefore, the ratio of their areas is 9:4. The other options don’t fit because they would represent the linear ratio itself, the reciprocal, or unrelated numbers.

When similar figures share a linear scale, their areas relate by the square of that scale factor. If corresponding sides are in a 3:2 ratio, the areas compare as 3^2 to 2^2, which is 9:4. Therefore, the ratio of their areas is 9:4. The other options don’t fit because they would represent the linear ratio itself, the reciprocal, or unrelated numbers.

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