Question

What are the endpoint coordinates for the midsegment of △PQR that is parallel to PQ¯¯¯¯¯?

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

( , ) and ( , )

Answer 1

Explanation:

From the figure, it is given that:

The coordinates of P are: (-3,3)

The coordinates of Q are: (2,1)

and The coordinates of R are: (-4,-2)

Now, the mid point of the segment PR is:

`D=((-3-4)/(2),(3-2)/(2))`

`D=((-7)/(2),(1)/(2))`

Also, the mid point of the segment QR is:

`E=((2-4)/(2),(1-2)/(2))`

`E=((-2)/(2),(-1)/(2))`

`E=(-1,(-1)/(2))`

Therefore, the coordinates of the end points of the segment parallel to PQ are:

`D=((-7)/(2),(1)/(2))` and
`E=(-1,(-1)/(2))`.