Angle Bisector Theorem in Triangles

The angle-bisector theorem can be applied in

• isosceles triangles only

• any type of triangle

• right-angled triangles

• equilateral triangles only

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

• angle bisector

• perpendicular bisector

• median

• midsegment

What does it mean to bisect a segment or an angle?

• Split it into 3 equal parts.

• Split it into 2 equal parts.

• Split into 4 equal parts.

• Double it.

In the given proof, what is the statement for step 2?

What theorem would be used to find BD?

• Perpendicular Bisector Theorem

• Converse of Perpendicular Bisector Theorem

• Angle Bisector Theorem

• Converse of Angle Bisector Theorem

Find the length of TU

• 15

• 12

• 26

• 13

Find BD.

• BD = 20

• BD = 2

• BD = 4

• BD = 10

Mix and Match

• CPCTC

• Definition of Angle Bisector

• Side Angle Side

• Given

• Reflexive Property

• A
• B
• C
• D

• x=67
• x=43
• x=55
• x=12