Question

Triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2) is dilated by a scale factor of 2 to obtain triangle L′M′N′. Which statement best describes triangle L′M′N′? It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4). It is congruent to triangle LMN and has coordinates L′(12, −16), M′(8, −8) and N′(−24, 4). It is similar to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1). It is congruent to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1).

Answer 1

A

Explanation:

Its the one that mostly makes sense

Answer 2

It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)

EXPLANATION

The given triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2).

If this triangle is dilated by a scale factor of 2 to obtain triangle L′M′N, then we use the rule:

`(x,y)\to (2x,2y)`

can be used to obtain the coordinates of

L′M′N.

`L(6,-8)\to(2 * 6,2 * - 8)=L'(12,-16)`

`M(4,-4)\to(2 * 4,2 * - 4)=M'(8,-8)`

`N(-12,2)\to(2 * -12,2 * 2)=N'(-24,4)`

The cot choice is:

It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)