Today Do Now

The point of concurrency for the altitudes of a triangle is called the _____?

What is the significance of the orthocenter in a triangle?

• It is the center of the circle that passes through all vertices.

• It is the point where the medians meet.

• It is the point where the altitudes meet.

• It is the point where the angle bisectors meet.

What property does a median have in a triangle?

• It is perpendicular to the base

• It bisects the opposite side

• It is parallel to the base

• It is equal in length to the base

Which term can describe a segment that is both an altitude and a median?

• Perpendicular bisector

• Angle bisector

• Centroid

• Orthocenter

Aiden is dividing a piece of land into two equal parts for a community garden. If BE is the median of the triangular plot ABC, what does it mean about point E?

• E is the midpoint of AC

• E is the midpoint of AB

• E is the midpoint of BC

• E is the midpoint of AD

What is the relationship between a median and the side it intersects in a triangle?

• The median is perpendicular to the side

• The median bisects the side

• The median is parallel to the side

• The median is equal in length to the side

What is the relationship between a median and the side it intersects in a triangle?

• The median is perpendicular to the side

• The median bisects the side

• The median is parallel to the side

• The median is equal in length to the side

What is the length of JN in the figure?

• 18

• 27

• 12

• 9

What is the length of JQ in the figure?

• 18

• 12

• 9

• 27

Which theorem is used to find the length of a median in the figure?

• Concurrency of Medians Theorem

• Pythagorean Theorem

• Triangle Inequality Theorem

• Sine Rule