Question

Question 1 (5 points)

If AABC has vertices A (3, -1), B (2, 1), and C (5, 3), find vertices of its image AA'B'C'
after dilation with a scale factor of 2 about the origin.
A) A'(6, 2), B'(4, 2), C'(10, 6)
B) A'(6, 2), B' (2, 2), C'(10, 6)
C) A'(6, -2), B'(4, 2), C'(10, 6)
D) A' (3/2, ¹/2), B' (1¹, 1/2), C'(5/2, 3/5)

Answer 1

The correct answer is C.

Explanation:

We are given that point A(3,-1) That means that it is 3 units right of the origin (0,0) and one unit down from the origin. We are not going to double that because the scale factor is 2. We will now go 6 units right from the origin (0,0) and two units down from the origin.

Point B (2,1) Is two unit to the right of the origin and one unit up. If we double that, we would go 4 units to the right and 2 units up.

Point C (5,3) This is 5 units to the right and 3 units up from the origin. If we double that, we would go 10 units to the right and 6 units up from the origin.