Angle Addition Postulate Triangle Segments

Given: the picture
Prove: m<AOB+m<BOC=m<AOC

• Definition of Angle Bisector

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Congruent Angles

Tags

CCSS.4.MD.C.7

What additional information is needed to prove that △MYG ≅ △MYR?​ ​ (a)  

• EO ≅ TE

• ∠YTE ≅ ∠YES

• ∠ESO ≅ ∠TES

• GM ≅ MK

• GR ≅ GR

• OT ≅ ZE

• ∠OMS ≅ ∠MSE

Tags

CCSS.HSG.SRT.B.5

You are trying to prove triangles A and B congruent. Given the information depicted on the diagram. What is the reason you would mark the blue, single arc angles congruent?

• The two angles are corresponding parts of the two triangles in question.

• Alternate internal angles of a transversal are congruent.

• The reflexive property of congruence.

• These angles are Vertical angles and therefore are congruent.

• It meets the criteria for the angle addition postulate.

Tags

CCSS.HSG.SRT.B.5

• Not enough information

Tags

CCSS.8.G.A.5

Solve

Mathematical Equivalence

ON

Tags

CCSS.7.G.B.5

What is the reason for Step 4?

• Substitution Property

• Angle Addition Postulate

• Segment Addition Postulate

• Triangle Angle Sum Theorem

Tags

CCSS.HSG.SRT.B.5

• Not enough information

Tags

CCSS.8.G.A.5

The figure shows the position of three trees on one part of a disc golf course. At which tree position is the angle between the trees the greatest?

• Tree 1

• Tree 2

• Tree 3

Tags

CCSS.HSG.CO.C.10

Name the angles from LARGEST to SMALLEST

• R, S, T

• S, T, R

• S, R, T

• T, S, R

Tags

CCSS.HSG.CO.C.10