top of page
Geometry worksheet in which students develop and apply a theorem about the proportions determined by the bisector of an angle of a triangle.
Geometry worksheet to help students apply the theorem about the proportions determined by the bisector of an angle of a triangle to write and solve proportions, and use the converse theorem to determine if a line is an angle bisector.

Activity 3.8​

Assignment 3.9

​Assignment 6.5

​Proportions in Triangles: Angle Bisectors

 
Objectives
Develop and apply a theorem about proportional line segment lengths in triangles with an angle bisector.
 
Use the converse of the theorem to identify angle bisectors.
 
 
.
 
 
 
 
​​Next
​​Previous

About Geometry Worksheet Assignment 6.5:     

 

Assignment 6.5 is an introduction to proportion theorems resulting from a line segment with one endpoint at the vertex of a triangle and the other endpoint on the opposite side.

 

Prerequisite Skills:  Calculate cross-products (Assignment 6.2).  Solve proportions (Assignment 6.2).  Solve algebraic equations with one variable.  Evaluate algebraic expressions.

 

Theorems:  The bisector of an angle of a triangle divides the side opposite the angle into two segments.  The lengths of the segments are proportional to the

                          lengths of the other two sides of the triangle.

                          If a ray from the vertex of a triangle divides the opposite side into lengths that are proportional to the lengths of the other two sides of the triangle, then

                          the ray bisects the angle.

bottom of page