Angle Bisector Isosceles Triangle

For isosceles triangles, when we are given that two sides are congruent we can prove that ______________________.

• two angles are congruent

• the third side is congruent

• three angles are congruent

• no other relationships exist

Fill in statement #4.

Name the construction.

• Angle bisector

• Perpendicular line to a point not on a line

• Angle median

• Perpendicular bisector of a line segment

Which of the following constructions is illustrated?

• An angle is congruent to a given angle

• The bisector of a given angle

• The bisector of a given segment

• The perpendicular bisector of a given segment.

Find BD.

• BD = 20

• BD = 2

• BD = 4

• BD = 10

• x=67
• x=43
• x=55
• x=12

What theorem would be used to find BD?

• Perpendicular Bisector Theorem

• Converse of Perpendicular Bisector Theorem

• Angle Bisector Theorem

• Converse of Angle Bisector Theorem

Segment AD is ________.

• a perpendicular segment

• a median 

• an angle bisector

• an altitude

Mix and Match

• CPCTC

• Definition of Angle Bisector

• Given

• Reflexive Property

• Side Angle Side

What theorem would be used to find the measure of CAD?

• Perpendicular Bisector Theorem

• Converse of Perpendicular Bisector Theorem

• Angle Bisector Theorem

• Converse of Angle Bisector Theorem