Medians Picture: Both sides are congruent Median vertex to midpoint

How many medians can a triangle have? vertex to midpoint

The intersection of the medians is called the CENTROID. Draw the Picture: How many medians does a triangle have?

Concurrent: When three or more lines or segments meet at the same point.

Quick Assessment What is a median? What is a centroid? 11/13/2018 Quick Assessment What is a median? What is a centroid? What does concurrent mean? What is the vertex? What is a midpoint? EQ: What are the differences between medians, altitudes, and perpendicular bisectors?

vertex to opposite side and perpendicular Altitude Picture: Altitude vertex to opposite side and perpendicular

The altitude is the “true height” of the triangle. 11/13/2018 Altitude The altitude is the “true height” of the triangle. EQ: What are the differences between medians, altitudes, and perpendicular bisectors?

The altitude is the “true height” of the triangle. Tell whether each red segment is an altitude of the triangle. The altitude is the “true height” of the triangle. YES NO YES

Orthocentre Altitudes Start at a vertex and form a 90° angle with the line containing the opposite side. Orthocentre

The orthocentre can be located in the triangle, on the triangle or outside the triangle. Obtuse Right Legs are altitudes

Perpendicular Bisector Both sides are congruent- make sure you see this or it is NOT a perpendicular bisector Picture: Perpendicular Bisector midpoint and perpendicular

a 90° angles and bisect the side. Perpendicular Bisectors A Perpendicular bisector of a side does not have to start at a vertex. It will form a 90° angles and bisect the side. The intersection of the perpendicular bisectors is called the Circumcentre.

Tell whether each red segment is a perpendicular bisector of the triangle. NO NO YES

Give the best name for AB | | | | | | Median Altitude None Angle Perp Bisector Bisector

Can you have both? Can it be both an altitude and perpendicular bisector?

Can you have both? Can it be both an altitude and perpendicular bisector?

11/13/2018 Quick Assessment What is the difference between altitude and perpendicular bisector? What is an altitude? What is a perpendicular bisector? How can the segment be both- altitude and perpendicular bisector? EQ: What are the differences between medians, altitudes, and perpendicular bisectors?