Question

1. the vertices for abcd are (-2, -1), (-1, 3), (1, 3), and (2, -1). where will abcd be located if it dilated by a scale factor of 2 about the origin? 14. use coordinate notation to describe the dilation of triangle abc to triangle abc.

Explanation:

Step1: Recall dilation rule about origin

When dilating a point $(x,y)$ by a scale - factor $k$ about the origin, the new point $(x',y')$ is given by $(x',y')=(k\cdot x,k\cdot y)$.

Step2: Dilate point A

Given $A(-2,-1)$ and $k = 2$. Then $A'=(2\times(-2),2\times(-1))=(-4,-2)$.

Step3: Dilate point B

Given $B(-1,3)$ and $k = 2$. Then $B'=(2\times(-1),2\times3)=(-2,6)$.

Step4: Dilate point C

Given $C(1,3)$ and $k = 2$. Then $C'=(2\times1,2\times3)=(2,6)$.

Step5: Dilate point D

Given $D(2,-1)$ and $k = 2$. Then $D'=(2\times2,2\times(-1))=(4,-2)$.

Answer:

$A'(-4,-2)$, $B'(-2,6)$, $C'(2,6)$, $D'(4,-2)$