Question

Trapezoid TRAP with vertices T(-8, 2), R(-5, 8), A(-2, 5), and P(-3, 3): x-axis

T’ (____, ____)
R’ (____, ____)
A’ (____, ____)
P’ (____, ____)

A) -12, 0; -9, 0; -6, 5; -7, 3
B) -12, 2; -9, 8; -6, 5; -7, 3
C) -9, 2; -6, 8; -3, 5; -4, 3
D) -9, 0; -6, 0; -3, 5; -4, 3

Answer 1

The question is about reflecting trapezoid TRAP across the x-axis. After reflecting each vertex, we find none of the provided answers matches the correct reflected coordinates of trapezoid T'R'A'P'.

Step-by-step explanation:

The student seems to be asking about reflections of the vertices of a trapezoid across the x-axis. To find the image of a point after reflection over the x-axis, you change the sign of the y-coordinate while keeping the x-coordinate the same. Applying this to the vertices of trapezoid TRAP we get the following coordinates for the reflected trapezoid T'R'A'P':

• T' (-8, -2) - Reflection of T(-8, 2)
• R' (-5, -8) - Reflection of R(-5, 8)
• A' (-2, -5) - Reflection of A(-2, 5)
• P' (-3, -3) - Reflection of P(-3, 3)

Inspecting the provided answer choices, none exactly match the correctly reflected coordinates. Therefore, none of the answer options A to D are correct.