Question

What are the coordinates of the endpoints of the midsegment for △RST that is parallel TS¯¯¯¯¯ ?

Answer 1

Answer:

The end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel to TS.

Step-by-step explanation:

We are given that a figure of  triangle RTS in which the coordinates of R(0,6) , T(2,0) and S(8,0).

We have to find the end points of midsegment for triangle RST that is parallel TS

Let AB is midsegment where A is the mid point of segment RT and B is the midpoint of segment RS of triangle RST which is parallel to the segment TS.

To find the coordinates of end point of midsegment AB using midpoint formula

Midpoint formula :$x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}$

The coordinate of A

$x=\frac{0+2}{2}$, $y=\frac{0+6}{2}$

$x_1=0,x_2=2,y_1=6,y_2=0$

$x=1,y=3$

The coordinates of A is (1,3).

The coordinates of mid point B

$x=\frac{0+8}{2},y=\frac{0+6}{2}$

$x_1=0,y_1=6,x_2=8,y_2=0$

$x=4,y=3$

The coordinates of midpoint B is (4,3).

Therefore, the end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel.

Answer 2

So here all you have to do is use the midpoint formula: $\frac{x+x}{2} , \frac{y+y}{2}$ and plug-in RS points $\frac{0+8}{2}, \frac{6+0}{2}$and RT points $\frac{0+2}{2}, \frac{6+0}{2}$and you will get (1,3) and (4,3).