Question

∆MAT has vertices M(8,-8), A(4,-1), and T(1,-8).Reflection across the x-axis followed by a dilation by a scale factor of 0.25A. M''(2,-2), A''(1,0) and T''(0,-2)B. M''(2,2), A''(1,0.25) and T''(0,-2)C. M''(8,8), A''(4,1) and T''(1,8)

Answer 1

Consider that a reflection acroos the x-axis is given by the transformation

T(x,y) => T'(x,-y)

Then for th given vertices, you have:

M(8,-8) => M'(8,8)

A(4,1) => A'(4,1)

T(1,-8) => T'(1,8)

next, a dilation of 0.25 is given by the product of the sscale factor and each coordinate of each vertex:

M'(8,8) => M''(2,2)

A'(4,1) => A''(1 , 0.25)

T'(1,8) => T''(0.25, 2)

Answer: B)