Riya draws triangle ABC and marks the midpoints of all three sides. She then joins each vertex to the midpoint of the side opposite that vertex. Which set of segments has she drawn, and how many lines pass through a single common point?

Question

Accepted Answer

The three medians; all 3 pass through one point. Joining each vertex to the midpoint of the opposite side gives the three medians, which are concurrent at the centroid.

Riya draws triangle ABC and marks the midpoints of all three sides. She then joins each vertex to the midpoint of the side opposite that vertex.
Which set of segments has she drawn, and how many lines pass through a single common point?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Medians and Altitudes practice

Riya draws triangle ABC and marks the midpoints of all three sides. She then joins each vertex to the midpoint of the side opposite that vertex.Which set of segments has she drawn, and how many lines pass through a single common point?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Medians and Altitudes practice

Riya draws triangle ABC and marks the midpoints of all three sides. She then joins each vertex to the midpoint of the side opposite that vertex.
Which set of segments has she drawn, and how many lines pass through a single common point?