Angle Bisectors in a Triangle

If S is the incenter, what type of segments are drawn?

• medians

• angle bisectors

• perpendicular bisectors

• altitudes

Tags

CCSS.HSG.C.A.3

Define: INCENTER OF A TRIANGLE

• the intersection point of the three angle bisectors of a triangle 

• when three or more lines intersect at a single point 

• the intersection point of the three perpendicular bisectors of a triangle 

• the point of intersection of three or more lines 

Tags

CCSS.HSG.C.A.3

What type of special segments are being used?

• Altitudes

• Perpendicular Bisectors

• Medians

• Angle Bisectors

Tags

CCSS.HSG.CO.C.10

Which point is equidistant from the sides?

• Circumcenter

• Incenter

• Neither

• Bilateral

Tags

CCSS.HSG.C.A.3

Mix and Match

• Given

• Side Angle Side

• CPCTC

• Reflexive Property

• Definition of Angle Bisector

Tags

CCSS.HSG.CO.C.9

Identify the  missing statement or reason

• Given

• Vertical Angles Theorem

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

Tags

CCSS.HSG.SRT.B.5

The figure shows a triangle with one of its angle bisectors.

• 105

• 70

• 35

• 17.5

Tags

CCSS.HSG.CO.C.9

According to the Triangle Angle Bisector Theorem, which proportion is set up correctly?

• All of the above
  

Tags

CCSS.HSG.CO.C.9

What is the "statement" for step 2 of the proof?

• ∆BAC≅∆DAC

• BC=DC

• ∡B≅∡D

• ∡BAC≅∡DAC

Tags

CCSS.HSG.SRT.B.5

If DA bisects IE, then

• ID=ED

• IA=EA

• <IDA=<EDA

• <IAD and <EAD are right angles

Tags

CCSS.HSG.CO.C.9