Question

Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′?
It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).

Answer 1

@iGreen

Answer 2

First of all, do you know the difference between 'similar' and 'congruent'?

Answer 3

congruent means there not exactly the same shape
similar means that they are the same shape but not the same size

Answer 4

No..congruent means that the shape is exactly the same, but it might be moved around or rotated.

Answer 5

But your definition for 'similar' is correct.

Answer 6

oh ok

Answer 7

So when we dilate a figure, we are changing it's SIZE, and NOT it's shape.

So do you think we will get a congruent triangle or a similar triangle?

Answer 8

similar

Answer 9

triangle

Answer 10

@iGreen

Answer 11

Correct, so our answer is either A or B.

Answer 12

ok

Answer 13

is it A

Answer 14

@iGreen

Answer 15

Hold on

Answer 16

No, A makes it smaller, we want to make it bigger since we are dilating it by a scale factor of 2.

Answer 17

its B

Answer 18

Yep, you got it.

Answer 19

@shawnspencer can u close this if u r done with the post? :)