Question

triangle def has coordinates d(4, -1), e(5, 2), and f(1, 2). determine the coordinates of the vertices of the image after a reflection in the x - axis

a) d(-4, -1), e(-5, 2), and f(-1, 2)
b) d(4, 1), e(5, -2), and f(1, -2)
c) d(5, -1), e(6, 2), and f(2, 2)
d) d(1, 0), e(2, 3), and f(-2, 3)

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point D

For point $D(4,-1)$, applying the rule $(x,y)\to(x, - y)$ gives $D'(4,1)$.

Step3: Apply rule to point E

For point $E(5,2)$, applying the rule gives $E'(5,-2)$.

Step4: Apply rule to point F

For point $F(1,2)$, applying the rule gives $F'(1,-2)$.

Answer:

B. $D'(4,1), E'(5,-2),$ and $F'(1,-2)$