How do I do this? I'm confused.

Question

Find and graph the midpoints of TR, RS ,and ST. Draw a segment connecting the vertex opposite each midpoint to the midpoint. 

How does the intersection of the segments compare to point C (1,-1/3)?

Answer 1

To find the midpoints of a line segment, take the averages of the x-coordinates of the endpoints of the line segment (add them and then divide by 2) and that is the x-coordinate of the midpoint. Do the same thing with the y-coordinates of the endpoints of the segment. Do this for each line segment (or side of the triangle). Put a point at the midpoint and label it with its coordinates.

Attach each midpoint to the triangles vertex that is across from it; that would be the vertex of the triangle that is NOT an endpoint of the line segment or side with the given midpoint. You will be drawing three line segments that cross from a midpoint to a vertex. Those three line segments will intersect in a point. The question you are asked is, How does that intersection point compare with point C (1,–1/3)?