Given $$ riangle A B C $$ with vertices at $$ -A(-4,-3), B(4,5) $$, and $$ C(5,-2) $$, and if the triangle is dilated with a scale factor of 3 , find the coordinates of - $$ C $$. Select one: a. $$ (5,-1) $$ b. $$ (15,-6) $$ c. $$ (3,-3) $$ d. $$ (2,4) $$

Question

Given $$ 	riangle A B C $$ with vertices at $$ -A(-4,-3), B(4,5) $$, and $$ C(5,-2) $$, and if the triangle is dilated with a scale factor of 3 , find the coordinates of - $$ C $$. Select one: a. $$ (5,-1) $$ b. $$ (15,-6) $$ c. $$ (3,-3) $$ d. $$ (2,4) $$

UpStudy AI · Accepted Answer

1. The dilation transformation with a scale factor of 3 multiplies each coordinate of a point by 3. That is, a point $$(x, y)$$ becomes $$(3x, 3y)$$.

2. For point $$ C(5,-2) $$:
   $$
   x' = 3 \times 5 = 15, \quad y' = 3 \times (-2) = -6.
   $$

3. Therefore, the coordinates of the dilated $$ C $$ are $$(15,-6)$$.

The correct answer is $$ (15,-6) $$.
The coordinates of the dilated point $$ C $$ are $$ (15, -6) $$.

Given with vertices at , and , and if the triangle is dilated with a scale factor of 3 , find the coordinates
of - .
Select one:
a.
b.
c.
d.

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Given with vertices at , and , and if the triangle is dilated with a scale factor of 3 , find the coordinates of - . Select one: a. b. c. d.