Question

What are the coordinates of the endpoints of the midsegment for △DEF that is parallel to DE¯¯¯¯¯?

Enter your answers, as a decimal or whole number, in the boxes.

See screenshot down below.

Answer 1

-1,2 and -1,3.5

Explanation:

Answer 2

(-1, 2) and (-1, 3.5)

Explanation:

The triangle ΔDEF spans 4 squares horizontally.

So, the midsegment of ΔDEF will coincide with the line 4/2 = 2 squares from the vertex F.

Note that the x coordinate of the vertex F is -3 and 2 units to the right of F is -1.

Therefore, the midsegment of ΔDEF coincides with the line x = -1.

So, the x coordinates of the end points of the midsegment are -1.

Let's find the y coordinates of the end points.

From the given figure, it is clear that the mid point of FD is half way between 3 and 4 and hence it is 3.5.

Mid point of FE is 2.

So, the co-ordinates of the end points of the midsegment are (-1, 2) and (-1, 3.5).