Please Help! Given triangles ABC and DEF, which statement explains a way to determine if the two figures are similar?

Verify corresponding pairs of angles are congruent by translation.
Verify corresponding pairs of sides are congruent by dilation.
Verify corresponding pairs of angles are congruent by dilation.
Verify corresponding pairs of sides are congruent by translation.

You find the congruent pairs by the angles, not the sides. Because the sides can be the same size but the angles can possibly not be congruent so you check by the angles. And Translation because you don't change the size of the object to see if it's congruent.

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MrRoyal MrRoyal · Answer 2 · 2021-11-05T12:45:56+01:00

Similar triangles may or may not have congruent side lengths.

The true statement is: (a) verify corresponding pairs of angles are congruent by translation.

For the two triangles to be similar, the side lengths of both triangles may or may not be equal.

This means that: options (b) and (d) are not true

Translation does not alter side lengths and angles, while dilation alters measure of angles.

This means that:

The pair of corresponding angles should be checked by translating the triangles.

Hence, the true statement is: (a)

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