Frank shows that triangle A is congruent to triangle B by rotating triangle A around point J and then translating it so it matches up with triangle B exactly. Which conclusion can be drawn from Frank’s transformations?

Question

If one pair of angles is congruent, then all pairs of angles are congruent.

If two pairs of sides and the included angle are congruent, the triangles are congruent.

If two triangles have right angles, all pairs of corresponding sides are congruent.

If right triangles have congruent hypotenuses and one pair of congruent legs, the triangles are congruent.

Quizzma Team · Answer

The correct conclusion that can be drawn from Frank’s transformations is:

If two triangles have right angles, all pairs of corresponding sides are congruent.

Explanation: Since triangle A was rotated and translated to match triangle B exactly, this indicates that the two triangles are congruent. When triangles are congruent, it means that all corresponding angles and sides are equal. In the context of right triangles, if they are congruent, all sides will be congruent as well.

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Frank shows that triangle A is congruent to triangle B by rotating triangle A around point J and then translating it so it matches up with triangle B exactly. Which conclusion can be drawn from Frank’s transformations?

1 Answer