Unit 5 Congruent Triangles Review

Which is NOT a test to prove triangles congruent?

• SAA
• SSS
• SSA
• SAS

Tags

CCSS.HSG.SRT.B.5

Define: Side-Side-Side (SSS) Congruence Postulate

• If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

• If two sides of a triangle are congruent, then the angles opposite them are congruent.

• If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Define: Angle-Angle-Side (AAS) Congruence Theorem

• If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangles, then the three triangles are congruent.

• If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangles, then the two triangles are congruent.

• If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangles, then all four triangles are congruent.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Define: Side-Angle-Side (SAS)

• Not here

• If three sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

• If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

Tags

CCSS.HSG.CO.B.8

Define: Angle-Side-Angle (ASA) Congruence Postulate

• If two angles and the included side of one triangle are congruent to two angles and the non-included side of a second triangle, then the two triangles are congruent.

• If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are similar.

• If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Define: Congruent Triangles to Prove Corresponding Parts Congruent (CPCTC)

• CTCPC can be used to show corresponding parts of corresponding t triangles congruent.

• CPCTC can be used to show corresponding parts of congruent triangles congruent.

• CTCPC can be used to show corresponding sides of congruent triangles congruent.

• CPCTC can be used to show congruent parts of congruent triangles congruent.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

Which of the following can not be used to prove that two triangles are congruent?

• Angle-Angle-Side (AAS)
• Side-Angle-Side (SAS) 
• Angle-Angle-Angle (AAA)
• Side-Side-Side (SSS)

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?

• No
• Sometimes
• Yes
• N/A

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.A.3

If AD bisects <EDI, then

• <ADE=<IDA
• IA=AE
• ID=ED
• All of the above

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

If DA is perpendicular to IE, then we can immediately conclude that

• IA=AE
• <IAD = <DAE
• <IDA=<EDA
• <IAD and <DAE are right angles

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9