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

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:

can be used to obtain the coordinates of

L′M′N.

The cot choice is:

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

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is