Perpendicular Bisector Theorem and Angle Bisector Theorem

• Segment Bisector

• Perpendicular Bisector

• Angle Bisector

Tags

CCSS.HSG.CO.A.1

A point that divides a segment into two congruent segments.

• Vertex

• Endpoint

• Angle bisector

• Midpoint

Tags

CCSS.HSG.GPE.B.6

A line, or ray that divides an angle into two equal parts.

• Segment Bisector

• Perpendicular Bisector

• Angle Bisector

Tags

CCSS.HSG.CO.A.1

A line, segment, or ray that passes through the midpoint of a side that is creates a 90 degree angle with that side.

• Perpendicular bisector

• Angle bisector

• Median

• Altitude

• A
• B
• C
• D

Find the length of TU

• 15

• 12

• 26

• 13

Tags

CCSS.HSG.C.A.3

Use the Perp Bisector Theorem to DC (hint...find x first and then plug it back in to DC)

Mathematical Equivalence

ON

Tags

CCSS.HSG.CO.C.9

In the given proof, what is the reason for step 1?

• Angles that form a linear pair are supplementary.

• Angles of Equal Measure are Congruent

• Reflexive Property of Congruence

• Definition of a Perpendicular Bisector

Tags

CCSS.HSG.SRT.B.5

Tags

CCSS.HSG.CO.C.9

Reorder the following steps from the triangle angle bisector theorem to solve for x.

• 
• Cross Mulitply

• Inverse Operations

Tags

CCSS.HSG.CO.C.9