triangle qrs was dilated using the dilation rule $d_{p,4}$. what is $pr$? 6 units 9 units 12 units 15 units

triangle qrs was dilated using the dilation rule $d_{p,4}$. what is $pr$? 6 units 9 units 12 units 15 units

triangle qrs was dilated using the dilation rule $d_{p,4}$. what is $pr$? 6 units 9 units 12 units 15 units

Answer

Explanation:

Step1: Recall the dilation formula

The formula for dilation is (PR'=k\times PR), where (k) is the scale factor and (PR) is the original length.

Step2: Identify the scale factor and original length

From the dilation rule (D_{P,4}), the scale factor (k = 4). The original length (PR=3) units.

Step3: Calculate (PR')

Substitute (k = 4) and (PR = 3) into the formula (PR'=k\times PR). So (PR'=4\times3=12) units.

Answer:

12 units