Question

match the picture of the triangle to the correct name for its center. a. b.

Explanation:

Step1: Recall triangle - center definitions

The centroid of a triangle is the point of intersection of the medians (lines connecting a vertex to the mid - point of the opposite side). In figure a, the lines connect vertices to mid - points of opposite sides, so it is the centroid.

Step2: Recall another triangle - center definition

The orthocenter of a triangle is the point of intersection of the altitudes (lines from a vertex perpendicular to the opposite side). In figure b, the lines are perpendicular from vertices to opposite sides, so it is the orthocenter.

Answer:

a. Centroid
b. Orthocenter