Question

Jake shows that △ △ C B A is congruent to △ △ A D C by rotating △ 180° △ C B A 180 ° around point C so it matches up with △ △ A D C exactly. Which conclusion can be drawn from Jake's transformations?

Answer 1

If two pairs of angles and the included side are congruent, the triangles are congruent.

Explanation:

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Answer 2

Reflection about either the x- axis or y- axis.

Explanation:

It is likely that the triangle shows a mirror image when it has been rotated at point C so that it matches ΔADC.

The triangles are congruent if the sides and angles are equal. The only way to effect the change is through a rotation.

In fact, two objects are said to be congruent if they can be transformed into another shape by translation, rotation, and reflection.

The resulting image is a distinct figure that can fit and match the other completely.

In this case, the triangle is rotated through 180⁰ so the resulting image is a reflection or mirror image.