Question

Which of these triangle pairs can be mapped to each other using both a translation and a rotation about C?

a) ∆A
b) ∆B
c) ∆C
d) ∆D

Answer 1

To determine which triangle pairs can be mapped to each other using both a translation and a rotation about point C, we need to compare their shape and size. If the triangles are congruent, they can be mapped to each other using both a translation and a rotation about C.

Step-by-step explanation:

To find out which triangle pairs can be mapped to each other using both a translation and a rotation about point C, we need to determine if the triangles have the same shape and size.

A translation is a movement of a figure without changing its shape or size. A rotation is a transformation that turns a figure around a fixed point.

If two triangles have the same shape and size, they can be mapped to each other using both a translation and a rotation about C.

Therefore, to determine which triangle pairs satisfy this condition, we need to compare their shape and size. If the triangles are congruent, they can be mapped to each other using both a translation and a rotation about C.

So, the triangle pairs that can be mapped to each other using both a translation and a rotation about C are:

Option c) ∆C