Question

Write the rule to describe this transformation.

Need help please!

Answer 1

Figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form image quadrilateral P"Q"R"S".

Explanation:

From the graph attached,

Coordinates of point T' → (2, -2)

Coordinates of point T'' → (3, -3)

As it's clear form the picture, quadrilateral P'Q'R'S' has been dilated to form the image quadrilateral P"Q"R"S" by a scale factor = k

By the rule,

T'(x, y) → T"(kx, ky)

Therefore, T'(2, -2) → T"(2k, -2k)

T"(2k, -2k) → T"(3, -3)

By comparing x-coordinates,

2k = 3

k =
`(3)/(2)`

k = 1.5

Therefore, figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form quadrilateral P"Q"R"S".