If two triangles are similar, what is true about their corresponding sides?

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Question: If two triangles are similar, what is true about their corresponding sides?

Options:

Correct Answer: They are proportional

Solution:

In similar triangles, the lengths of corresponding sides are proportional.

If two triangles are similar, what is true about their corresponding sides?

If two triangles are similar, what is true about their corresponding sides?

Step 1: Understand what similar triangles are. Similar triangles have the same shape but may be different sizes.
Step 2: Identify the corresponding sides of the triangles. These are the sides that match up when you compare the two triangles.
Step 3: Know that in similar triangles, the ratio of the lengths of corresponding sides is constant. This means if you take one side from the first triangle and compare it to the matching side in the second triangle, you can create a fraction.
Step 4: Write the proportion. For example, if triangle A has sides a, b, c and triangle B has sides x, y, z, then the ratios a/x, b/y, and c/z will all be equal.
Step 5: Conclude that the lengths of corresponding sides are proportional, meaning they have the same ratio.

Proportionality of Sides – In similar triangles, the lengths of corresponding sides maintain a constant ratio, meaning they are proportional to each other.