*Learning Goal: Create an intellectual need for finding the centroid and build understanding of how to find centroids and orthocenters.*

# Classwork

# Standards:

**Common Core**- HSG.CO.C.10 – Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

**TEKS**- G.6(D) – verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems