Question

practice & problem solving practice 16. trace abcd and point p. draw the dilation of abcd using p as the center of dilation and sides that are two times as long. see example 1

Explanation:

Step1: Connect P to each vertex

Draw segments $PA$, $PB$, $PC$, $PD$.

Step2: Extend each segment to double length

For each vertex, extend the segment from P so that the new length is $2\times$ original. Let new vertices be $A'$, $B'$, $C'$, $D'$, where $PA' = 2PA$, $PB' = 2PB$, $PC' = 2PC$, $PD' = 2PD$.

Step3: Connect new vertices

Draw polygon $A'B'C'D'$ by connecting the new vertices in order.

Answer:

The dilated figure $A'B'C'D'$ is constructed by extending the lines from center $P$ to each vertex of $ABCD$ to twice their original length, then connecting the new endpoints in sequence. This figure will be similar to $ABCD$ with all sides twice as long, centered at point $P$.