Equations of Altitudes and Medians

Name the segment/line/ray shown in the picture.

• Perpendicular Bisector

• Angle Bisector

• Median

• Altitude

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.CO.D.12

Identify AD as a median, altitude, neither, or both according to what can be proved.

• Median

• Altitude

• Neither

• Both

Tags

CCSS.HSG.CO.C.10

A segment joining a vertex to the opposite side so that is perpendicular to that side.

• perpendicular bisector

• angle bisector

• median

• altitude

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

CCSS.HSG.SRT.D.9

Which of the following describes a median of a triangle?

• A. A middle of the triangle.

• B. A segment with endpoints at the vertex and midpoint of the opposite side.

• C. A segment that connects two midpoints of two sides.

• D. A segment that connects the vertex and the opposite side at 90 degrees. 

Tags

CCSS.HSG.CO.C.10

What do median lines and altitudes have in common?

• They meet at the midpoint of the opposite side

• They are perpendicular to the opposite side

• They start at a vertex on the triangle

• Their slopes are negative reciprocals of the opposite side

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.5

How would you find the slope of a median of a triangle?

• Find slope using the vertex and opposite side's midpoint

• Find slope of opposite side and use the opposite reciprocal

• Find the coordinates of the midpoints of two sides and find the slope between them.

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.4

How do you find the slope of an altitude from vertex A in a given triangle?

• Use both vertex A and other endpoint.

• Find the slope of the side opposite A and take its negative reciprocal.

• Use vertex A and the midpoint of the opposite side.

• Use the slope of the side opposite A.

Tags

CCSS.HSG.GPE.B.5

CCSS.HSG.SRT.D.9

The altitude is __________to the side of a triangle.

• parallel

• skew

• off

• perpendicular

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.CO.D.12

CCSS.HSG.SRT.D.9

Given triangle ABC where A(2,-6), B(6,4), and C(-4,0) and median CE is drawn. What are the coordinates of point E?

• ( -1 , -3 )

• ( 2 , -1 )

• ( 1 , 2 )

• ( 4 , - 2 )

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.6

Given triangle ABC where A(2,-6), B(6,4), and C(-4,0) and median CE is drawn. What is the slope of median CE?

• -1/6

• 5/2

• 2/5

• -1

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.4