3. Triangles

3.01 Triangles and angles

3.02 Isosceles and equilateral triangles

3.03 Triangle inequalities

3.04 Angle and perpendicular bisectors

3.05 Medians and altitudes

3.06 Midsegments

United States of America

Grades 9-12

3.04 Angle and perpendicular bisectors

Adaptive

Worksheet

Interactive practice questions

Consider the following triangle construction.

a

Identify the type of construction.

Median

A

Altitude

B

Perpendicular bisector

C

Angle bisector

D

b

The three $angle bisectors$ of a triangle are concurrent at which triangle center?

Incenter

A

Circumcenter

B

Centroid

C

Easy

1min

Consider the following triangle construction.

Easy

1min

Determine which triangle center matches each of the following descriptions.

Easy

1min

Consider where the $incenter$ is located for different types of triangles.

Medium

1min

Outcomes

G.CO.C.10

Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

G.C.A.3

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

What is Mathspace

About Mathspace