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

ANSWER

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.

$L(6,-8)\to(2 \times 6,2 \times - 8)=L'(12,-16)$

$M(4,-4)\to(2 \times 4,2 \times - 4)=M'(8,-8)$

$N(-12,2)\to(2 \times -12,2 \times 2)=N'(-24,4)$

The cot choice is:

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