Question

5 graph △def with d(-8, 1), e(-7, 5) f(-3, 2), and its image after a rotation of 180° about the origin. what are the coordinates of def? a) d(8, -1), e(7, -5), f(3, -2) super bowl sunday b) d(1, 8), e(5, 7), f(2, 3) new years eve c) d(-1, 8), e(-5, 7), f(-2, 3) halloween d) d(-1, -8), e(-5, -7), f(-2, -3) st. patricks day e) d(8, 1), e(7, 5), f(3, 2) labor day © gina wilson (all things algebra), 2016

Explanation:

Step1: Recall rotation rule

The rule for a $180^{\circ}$ rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Apply rule to point D

For $D(-8,1)$, $x=-8,y = 1$. Then $D'=(-(-8),-1)=(8,-1)$.

Step3: Apply rule to point E

For $E(-7,5)$, $x=-7,y = 5$. Then $E'=(-(-7),-5)=(7,-5)$.

Step4: Apply rule to point F

For $F(-3,2)$, $x=-3,y = 2$. Then $F'=(-(-3),-2)=(3,-2)$.

Answer:

A. $D'(8, - 1), E'(7, - 5), F'(3, - 2)$