Picture Both sides are congruent Median Median Draw

Picture: Both sides are congruent Median

Median

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

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

1/30/2022 Quick Assessment What What is a median? is a centroid? does concurrent mean? is the vertex? is a midpoint? EQ: What are the differences between medians, altitudes, and perpendicular bisectors?

Picture: Altitude

1/30/2022 Altitude The altitude is the “true height” of the triangle. EQ: What are the differences between medians, altitudes, and perpendicular bisectors?

Tell whether each red segment is an altitude of the triangle. The altitude is the “true height” of the triangle.

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

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

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.

Give the best name for AB A A | | B B Median Altitude A A | | A B None | | B B Angle Perp 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?

1/30/2022 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?