Question

1. polygon defg has coordinates d(2, 4), e(-3, -2), f(-5, 1), and g(3, -1). the polygon is reflected across the y - axis. write the coordinates of polygon defg.

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the y - axis, the rule is $(x,y)\to(-x,y)$.

Step2: Apply rule to point D

For point D(2, 4), applying the rule $(x,y)\to(-x,y)$, we get D'(-2, 4).

Step3: Apply rule to point E

For point E(-3,-2), applying the rule, we get E'(3,-2).

Step4: Apply rule to point F

For point F(-5,1), applying the rule, we get F'(5,1).

Step5: Apply rule to point G

For point G(3,-1), applying the rule, we get G'(-3,-1).

Answer:

D'(-2, 4), E'(3,-2), F'(5,1), G'(-3,-1)