Relationships Within Triangles

What is the altitude of a triangle?

• A segment from a vertex of a triangle to the midpoint of the opposite side.

• The point of concurrency of the three medians of a triangle.

• The perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side.

• A segment that connects the midpoints of two sides of a triangle.

Tags

CCSS.HSG.CO.C.10

What is the orthocenter of a triangle?

• The point of concurrency of the three medians of a triangle.

• The point of concurrency of the lines containing the altitudes of a triangle.

• A segment that connects the midpoints of two sides of a triangle.

• A style of proof in which you temporarily assume the desired conclusion is false.

Tags

CCSS.HSG.CO.C.10

The figure is an example of a(n) ...

• angle bisector

• midsegment

• altitude

• median

Tags

CCSS.HSG.CO.C.10

Tags

CCSS.8.G.A.5

Which type of proof is shown in this picture?

• Coordinate Proof

• Two-Column Proof

• Flowchart Proof

• Paragraph Proof

Tags

CCSS.HSG.SRT.B.5

What term describes three or more lines, rays, or segments that intersect in the same point?

• Equidistant

• Concurrent

• Circumcenter

• Incenter

Tags

CCSS.HSG.CO.A.1

What is the point of intersection of concurrent lines, rays, or segments called?

• Circumcenter

• Incenter

• Point of Concurrency

• Equidistant

Tags

CCSS.HSG.CO.A.1

Match the following points of concurrency

• Orthocenter

• Altitudes meet here

• Incenter

• Medians meet here

• Circumcenter

• Angle Bisectors meet here

• Centroid

• Perpendicular Bisectors meet here

Tags

CCSS.HSG.C.A.3

Find SU

• 4

• 2

• 5

• 6

Tags

CCSS.HSG.CO.C.9

Find PS.

• 7

• 8

• 9

• 16

Tags

CCSS.HSG.C.A.3