Angle Bisector Similarity

Bisector

• A point, line or line segment that divides a segment or angle into two equal parts
• A part of a line between two points on the line
• A figure that forms a circle

Given ray EF is the angle bisector of <TEA. Which is FALSE?

• m<TEF = 87
• m<TEA = 87
• m<FEA = 43.5
• m<TEF = m<FEA

Line TB is the bisector of segment AC.  Find the value of x.

• 2
• 16
• 29
• 14

• 17
• 25
• 42
• 84

Line TQ is the segment bisector of PR and the point of intersection is labeled M
PM = 6x – 7 and MR = 5x + 1.
Find the length of PR.

• 8
• 16
• 41
• 82

• m∠GHK=80.5, 
  m∠KHJ=161
• m∠GHK=161, 
  m∠KHJ=80.5
• m∠GHK=80.5, 
  m∠KHJ=80.5
• m∠GHK=161, 
  m∠KHJ=161

• m∠GHK=90, m∠KHJ=45
• m∠GHK=45, m∠KHJ=45
• m∠GHK=45, m∠KHJ=90
• m∠GHK=90, m∠KHJ=90

• m∠GHK=26, m∠KHJ=26
• m∠GHK=26, m∠KHJ=52
• m∠GHK=52, m∠KHJ=52
• m∠GHK=52, m∠KHJ=26

• m∠SQP=90, m∠PQR=90
• m∠SQP=45, m∠PQR=45
• m∠SQP=45, m∠PQR=90
• m∠SQP=90, m∠PQR=45

• m∠SQP=120, 
  m∠PQR=60
• m∠SQP=120, 
  m∠PQR=120
• m∠SQP=60, 
  m∠PQR=60
• m∠SQP=60, 
  m∠PQR=120