Question

Find the midsegment of triangle BCD, which is parallel to BC. Label the endpoints of the midsegment as E and G.

What are the coordinates of E and G? ________________
Show work verifying that EG and BC are parallel.______________

Answer 1

B

Explanation:

Answer 2

the coordinates of E and G :E (-2 . -1) , G(1,0)

E G and BC are parallel has been shown in the explanation below

Explanation:

The coordinate of E and G is

E (-2 . -1)

G(1,0)

To find out how E and G they are parallel to each other you have to find the slop between them

Slope formula is

m= y₂ -y₁ /x₂- x₁

y₁ = -1 , y₂ = 0 , x₁= -2 , x₂=1

then after putting values we get

m = 0-(-1) / 1-(-2)

m = 1/3

Now use formula to find the slope between B and C then

y₁ = 1 , y₂ = 3 , x₁= -3 , x₂=3

m = 3-1 / 3-(-3)

m = 1/3

so slope between B and C is also 1/3