Question

∆ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.25 and rotated 45° counterclockwise about point B to form ∆PQR. The side lengths of ∆ABC are , 5 units; , 4.2 units; and , 4 units. Match each side of ∆PQR to its length.

Answer 1

`6.25\ units,\ 5.25 \ units\ and\ 5 \ units`

Explanation:

Given:

The scale factor = 1.25 and rotated =45°

Length of side =5 units; , 4.2 units; and , 4 units respectively.

As mention in the question the ∆ABC and ∆PQR are similar it means there sides are equal .

Therefore sides of the ∆ PQR is

`= (5*1.25),(4.2*1.25),(4*1.25)\\=6.25, 5.25, 5`

Hence the length of the ∆PQR is
`6.25\ units,\ 5.25 \ units\ and\ 5 \ units`