Proofs of Triangle Congruences

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

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 HL Triangle congruence postulate.

• of the AAS Triangle congruence theorem.

• of the SAS Triangle congruence theorem.

• there is not enough information given.

• congruent

• not necessarily congruent

• of the SSS Triangle congruence postulate.

Given the image, mark all true statements

• ∠SEO ≅ ∠STZ

• EO ≅ TZ

• SO ≅ SZ

• ∠ESO ≅ ∠TZS

• ∠YTE ≅ ∠YES

In terms of congruence, (a)   shows that ​ (b)   occurred by manipulating the figures in a manner which demonstrate that (c)   are (d)   .​

• mapping

• rigid motions

• both the corresponding sides and angles

• the same measure

• dialtions

• both dilations and rigid motions

• the verticies

• the corresponding sides

• translating

• identical

What additional information is required for the 2 triangles to be congruent by SAS?

• A

• B

• C

• D

What is the reason for statement #2?

• Definition of Segment Bisector

• Transitive Property

• Reflexive Property

• Definition of Midpoint

If DA bisects IE, then

• ID=ED

• IA=EA

• <IDA=<EDA

• <IAD and <EAD are right angles

What is the reason for statement #1?

• Given

• Definition of Congruent Segments

• Prove

What is the reason for statement #2.

• Definition of midpoint

• Definition of congruent

• Definition of angle bisector

• Definition of segment bisector

What is the reason for statement #3?

• SAS

• Prove

• SSA

• SSS