Question

What are the vertices of AA'B'C'if AABC is dilated by a scale factor of 2?

A(0, 10)
10
8(8,6)
C(4,2)
4
6
8
10
O A. A' (0, 10), B'(16,6). C'(8, 2)
O B. A'(0,20), B' (16, 12). C'(8,4)
O C. A'(0,5), B'(4,3), C' (2, 1)
O D. A'(0,20), B' (8, 12), C'(4,4)
SUBMI

Answer 1

Option B

Explanation:

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

(x, y) → (kx, ky)

By this rule vertices of triangle ABC when dilated by a scale factor of 2 to form ΔA'B'C',

A(0, 10) → A'(0, 20)

B(8, 6) → B'(16, 12)

C(4. 2) → C'(8, 4)

Therefore, Option B will be the correct option.