Segments in Triangles

Special Segments in Triangles

Perpendicular Bisector, Angle Bisector, Median, Altitude, Mid-segment

DO NOT COPY!!!

You will get this page from your textbook later in the lesson!

See Page 484 of your textbook

Perpendicular Bisector

Some text here about the topic of discussion

Find each measure.

Some text here about the topic of discussion

​From page 486 of you textbook

Angle Bisector

Find each measure.

a. ​<GFJ

b. ​RS

​Medians

​Point of concurrency - the point of intersection of 3 or more lines!

From page 512 of your textbook

​Medians

​Medians

​Find the length of QP and PN.

​Medians

​Altitude (Orthocenter)

​From page 514 of your textbook

​Altitude (Orthocenter)

​From page 516 of your textbook

​In an isosceles triangle, the angle bisector, perpendicular bisector, median, and altitude drawn from the vertex angle to the base are all the same segment.

In an equilateral triangle, this is true from any angle.

Midsegment of a Triangle

Midsegment of a Triangle

​From page 524 of your textbook

Midsegment of a Triangle

Midsegment of a Triangle

​From page 525 of your textbook

Let's Practice

Multiple Choice

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

• angle bisector

• midsegment

• altitude

• median

Multiple Choice

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

• angle bisector

• perpendicular bisector

• median

• midsegment

Multiple Choice

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

• altitude 

• perpendicular bisector

• midsegment

• angle bisector

Multiple Choice

Which of the following segments represents an altitude?

• BX

• AZ

• AC

• BZ

Multiple Choice

Identify the type of segment pictured below.

• Midsegment

• Median

• Altitude

• Perpendicular Bisector

• Angle Bisector

Multiple Choice

• m∠SQP=29, m∠PQR=58

• m∠SQP=29, m∠PQR=29

• m∠SQP=58, m∠PQR=58

• m∠SQP=58, m∠PQR=29

Multiple Choice

Which of the following describes a median of a triangle?

• A segment that passes through the middle of the triangle.

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

• A segment that connects two midpoints of two sides.

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

Multiple Choice

Which of the following words describes the point shown in the figure?

• Centerpoint

• Orthocenter

• Centroid

• Altitude-point

Multiple Choice

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

• median

• altitude

• midsegment

• angle bisector

Match

Match each problem with the correct answer.

• The value of x

• The length of QN

• The length of AP

• The value of x

• The length of AB

6

3

9

13

15

• 6

• 3

• 9

• 13

• 15

​Practice with Special Segments in Triangles

​Big Ideas Math Assignment:

"Special Segments"