Question

ABC is dilated by a factor of 5 produce A'B'C.What is A'C, the length of AC after the dilation? What is the measure of angle A?

Answer 1

We have that the scale factor is 5, then, the dilation is an enlargement.

Then, the new lengths are:

`\begin{gathered} A^(\prime)C^(\prime)=5AC=5\cdot5=25 \\ A^(\prime)B^(\prime)=5AB=5\cdot4=20 \\ B^(\prime)C^(\prime)=5BC=5\cdot3=15 \end{gathered}`

therefore, A'C' =25.

Finally, the dilations don't affect the angles, therefore, angle A remains with the measure of 37°