12/12 Mod 5 Quiz

Which rule explains why these triangles are congruent?

• SSS

• SAS

• AAS

• ASA

• These triangles cannot be proven congruent.

Which two triangles are congruent? Complete the congruence statement. △ ___ ≅ △ ___.

• △ ABC ≅ △ DEF

• △ GHI ≅ △ JKL

• △ MNO ≅ △ PQR

QT bisects ∠RQS. Complete the proof that ΔQST ≅ ΔQRT. Fill in the blanks in the table below with the correct reasons for each statement."

#3​ ​ (a)   #4​ (b)   #5 ​ (c)  

• Definition of angle bisector
• Reflexive property of congruence
• SAS
• AAS
• SSS
• Definition of midpoint
• Alternate interior angles

QT ≅ QR and RS ≅ ST. Complete the proof that ΔQRS ≅ ΔQTS.

• SAS (Side-Angle-Side) Postulate

• ASA (Angle-Side-Angle) Postulate

• SSS (Side-Side-Side) Postulate

• AAS (Angle-Angle-Side) Postulate

• Alternate Interior Angles Theorem

• Corresponding Angles Postulate

• Vertical Angles Theorem

• Side-Angle-Side (SAS) Postulate

What is statement #4?

• ∆HFG≅∆IHF
• ∆FHG≅∆IHF
• ∆GFH≅∆IFH
• ∆HFG≅∆IFH

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

What additional information is required to prove the two triangles are congruent by SAS?

• A)
• B)
• C)
• D)

What is #3 Reason?

• Alternate Exterior Angles are congruent when formed by parallel lines

• Alternate Interior Angles are congruent when formed by parallel lines

• Vertical Angles are congruent

• Definition of Angle Bisector

Tags

CCSS.HSG.CO.C.9