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

Given that the triangle ABC is dilated by a scale factor of 1.25 to form the new triangle PQR, the dimensions of PQR will be as follows;

AB corresponds to PQ, but the length of AB=5 units, the length of PQ will be:
PQ=5*1.25=6.25 units

BC corresponds to QR, but the length if QR=4.2 units, the length of QR will be:
QR=4.2*1.25=5.25 units
lastly,

CA corresponds to RP, but CA=4 units, therefore RP will be:
4*1.25=5 units

Answer 2

Answer:QR=5.25 units

PR=5 units

PQ=6.25 units

Step-by-step explanation: