Question

Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, triangle F G H has points (negative 2, 1), (negative 3, 3), (0, 1). Triangle F prime G prime H prime has points (negative 8, negative 4), (negative 12, negative 12), (0, negative 4). Which identifies the transformation that occurred after the dilation? a dilation by a scale factor of 3 and then a reflection across the x-axis a dilation by a scale factor of 3 and then a 180 degrees rotation about the origin a dilation by a scale factor of 4 and then a reflection across the x-axis a dilation by a scale factor of 4 and then a 180 degrees rotation about the origin

Answer 1

a dilation by a scale factor of 4 and then a reflection across the x-axis

Answer 2

a dilation by a scale factor of 4 and then a reflection across the x-axis

Explanation:

Given the coordinates of triangle FGH:

F (-2, 1)

G (-3, 3)

H (0, 1)

After a dilation by a scale factor of 4 we get:

F (-2, 1) -> (-2*4, 4*1) -> (-8, 4)

G (-3, 3) -> (-3*4, 3*4) -> (-12, 12)

H (0, 1) -> (0, 4*1) -> (0, 4)

A reflection across the x-axis transforms point (x, y) into (x, -y), then:

(-8, 4) -> (-8, -4) which corresponds to F'

(-12, 12) -> (-12, -12) which corresponds to G'

(0, 4) -> (0, -4) which corresponds to H'