Question

. Part A: Under a dilation of scale factor 3 centered at the origin, AB becomes A'B'. Determine the coordinates of A'B' and sketch A'B' on the graph. 1 Part B: Under a dilation of scale factor - centered at the origin, AB becomes DC. Determine the coordinates of DC and sketch DC on the graph.​

Answer 1

Explanation:

Part A.

Coordinates of A and B are,

A(-2, 2) and B(3, 2)

Rule for dilation of a point (x, y) by a scale factor k about the origin,

(x, y) → (kx, ky)

If the points A and B are dilated by a scale factor 3, image points will be,

A(-2, 2) → A'(-6, 6)

B(3, 2) → B'(9, 6)

Part B.

Following the same rule of dilation about the origin by a scale factor of
`(1)/(2)` about the origin,

A(-2, 2) → D(-1, 1)

B(3, 2) →
`C((3)/(2),1)`