Question

1. find the new coordinates of a trapezoid with vertices of t(2, 2), c(2, 5), z(5, 4), f(5, 0) after a reflection across the x - axis.

a. t(2, - 5), c(2, - 2), z(5, 0), f(5, - 4)
b. t(5, 0), c(2, - 5), z(5, - 4), f(2, - 2)
c. t(2, 2), c(5, 2), z(5, 4), f(0, 5)
d. t(2, - 2), c(2, - 5), z(5, - 4), f(5, 0)

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the x - axis is $(x,-y)$.

Step2: Apply rule to point T

Given $T(2,2)$, after reflection across the x - axis, $T'=(2, - 2)$.

Step3: Apply rule to point C

Given $C(2,5)$, after reflection across the x - axis, $C'=(2,-5)$.

Step4: Apply rule to point Z

Given $Z(5,4)$, after reflection across the x - axis, $Z'=(5,-4)$.

Step5: Apply rule to point F

Given $F(5,0)$, after reflection across the x - axis, $F'=(5,0)$.

Answer:

a. $T'(2, - 2),C'(2,-5),Z'(5,-4),F'(5,0)$