Angles of Triangle Segment Postulate

What is a line segment or ray drawn from a vertex that divides the angle into two congruent angles?

• Median of a Triangle

• Altitude of a Triangle

• Perpendicular Bisector of a side of a Triangle

• Angle Bisector

• Midpoint of a Line Segment

Tags

CCSS.HSG.CO.C.9

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

• of the ASA Triangle congruence postulate.

• of the SSA Triangle congruence theorem.

• of the SSS Triangle congruence postulate.

• of the HL Triangle congruence postulate.

• of the AAS Triangle congruence theorem.

• of the SAS Triangle congruence theorem.

• there is not enough information given.

• congruent

• not congruent

Tags

CCSS.HSG.SRT.B.5

Given the image, mark all true statements

• ∠SEO ≅ ∠STZ

• EO ≅ TZ

• SO ≅ SZ

• ∠ESO ≅ ∠TZS

• ∠YTE ≅ ∠YES

Tags

CCSS.HSG.CO.B.7

Mark the angle pairs which are congruent due to the presence of transversal HK which would help prove that triangles RXH and KXN are congruent.

• ∠RXK ≅ ∠HXN

• ∠RHX ≅ ∠NKX

• ∠CRN ≅ ∠TNC

• ∠RHX ≅ ∠KXN

Tags

CCSS.HSG.SRT.B.5

Match the following

• 2

• x

• 94 degrees

• m<KEJ

• 13 degrees

• m<FGE

• 30 degrees

• m<EFG

• 60 degrees

• m<KGJ

Tags

CCSS.HSG.C.A.3

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

If m∠CAP = 34° , find ∠CAB.

• 17°

• 34°

• 68°

• 90°

Tags

CCSS.HSG.C.A.3

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.

• The transversal cuts through two parallel lines.

• These angles are Vertical angles and therefore are congruent

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

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