If two triangles are similar, which of the following is true about their corresp

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Question: If two triangles are similar, which of the following is true about their corresponding sides?

Options:

Correct Answer: They are proportional

Solution:

In similar triangles, the corresponding sides are proportional to each other.

If two triangles are similar, which of the following is true about their corresponding sides?

If two triangles are similar, which of the following 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: Know that in similar triangles, the angles are equal. This means that the triangles are scaled versions of each other.
Step 3: Learn about corresponding sides. Corresponding sides are the sides that match up between the two triangles.
Step 4: Realize that if two triangles are similar, the lengths of their corresponding sides are not the same, but they have a specific relationship.
Step 5: This relationship is called proportionality. It means that the ratio of the lengths of corresponding sides is constant.
Step 6: For example, if one triangle has sides of lengths 2, 4, and 6, and the other triangle has sides of lengths 4, 8, and 12, the ratios are 2:4, 4:8, and 6:12, which are all equal to 1:2.

Similarity of Triangles – When two triangles are similar, their corresponding angles are equal and their corresponding sides are in proportion.