Question

How does the area of triangle RST compare to the area of triangle LMN?

Answer 1

Answer:

The answer is the letter B or The area of △RST is equal to the area of △LMN.

Step-by-step explanation:

Answer 2

Answer:

The correct option is 2. The area of △RST is equal to the area of △LMN.

Step-by-step explanation:

If three vertices of a triangle are given, then the area of triangle is

$A=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|$

The vertices of triangle RST are R(5,5), S(2,1), T(1,3).

The area of △RST is

$A=\frac{1}{2}|5(1-3)+2(3-5)+1(5-1)|$

$A=\frac{1}{2}|-10-4+4|$

$A=\frac{10}{2}$

$A=5$

The area of △RST is 5 square unit.

The vertices of triangle LMN are L(0,-1), M(2,-4), N(-2,-3).

$A=\frac{1}{2}|0(-4+3)+2(-3+1)-2(-1+4)|$

$A=\frac{1}{2}|-4-6|$

$A=\frac{10}{2}$

$A=5$

The area of △LMN is 5 square unit.

The area of △RST is equal to the area of △LMN, therefore the correct option is 2.