Question

Determine the endpoints of the midsegment connecting side YX and side YZ.Question options:A) (4, 3) and (8, 0)B) (4, 3) and (5, –1)C) (1, 2) and (7, 4)D) (9, –4) and (7, 4)

Answer 1

B ; (4,3) and (5,-1)

Step-by-step explanation:

Here, we want to get the coordinates of the endpoints of the midsegments

Let us firstly give a representation of what we are to calculate:

Now, from the above, what we are to calculate are the coordiantes of the points A and B

If we notice, the point A is the midpoint of the line XY

the point B is the midpoint of YZ

By simply finding the midpoint coordiantes of these lines, we will able to get what we are looking for

We start as follows:

`(x,y)\text{ = (}(x_1+x_2)/(2),(y_1+y_2)/(2))`

The above will give us the coordiantes of the midpoints

Let us get the coordinates of the individual vertex points

X is (7,4)

Y is (1,2)

Z is (9,-4)

So, for point A that lies between X and Y, we have its coordiante as:

`(x,y)\text{ = (}\frac{7+1_{}}{2},(4+2)/(2))\text{ = (4,3)}`

Lastly for point B that lies between Y and Z , we have:

`(x,y)\text{ = (}(1+9)/(2),(2-4)/(2))\text{ = (5,-1)}`