Answered

Triangle ABC has vertices at A(2, 2), B(2,7), and
C(6,3). This triangle is dilated by a scale factor
of 3. What is the location of point C'?
A. (2,1) B. (6,6) C.
(6,21) D. (18,9)

Verified Answer :

GinnyAnswer

To determine the new location of point C after the dilation, follow these steps:

1. Identify the coordinates of point C: Point C has the coordinates (6, 3).

2. Determine the scale factor: The given scale factor for the dilation is 3.

3. Apply the scale factor to the coordinates of point C:
- Multiply the x-coordinate of point C by the scale factor: \(\( 6 \times 3 = 18 \)\).
- Multiply the y-coordinate of point C by the scale factor: \(\( 3 \times 3 = 9 \)\).

4. Find the new coordinates: After applying the scale factor, the new coordinates of point C (C') are (18, 9).

So, the location of point C' after the dilation is
D. (18, 9).

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