Question

A'B'C' is a rotation of ABC 90 degrees about the orgin. What is the length of A'C'?A. 7 unitsB. 5 unitsC. 12 unitsD. 3 units

Answer 1

5 units

Explanation:

I got it right on the test.

Answer 2

We know that A'B'C' is a rotation of the triangle ABC 90 decrees about the origin.

We remember that in a rotation, the lengths of the segments don't change, and thus, the measure of the segments are:

`\begin{gathered} AB=A^(\prime)B^(\prime) \\ AC=A^(\prime)C^(\prime) \\ BC=B^(\prime)C^(\prime) \end{gathered}`

This means that the length of A'C' is 5 units, as this is the length of the segment AC.