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5.0
USING TRIANGLE CONGRUENCE THEOREMS
QUESTIONS WITH DETAILED VERIFIED ANSWERS (100%
CORRECT ANSWERS) /ALREADY GRADED A+
Which congruency theorem can be used to prove that △ABD ≅
△DCA?
Ans: C. SAS
In the figure below, WU ≅ VT. The congruency theorem can be used to
prove that △WUT ≅ △VTU.
Ans: B. HL
Which congruency theorem can be used to prove that △GHL ≅ △KHJ?
Ans: B. ASA
Analyze the diagram below. Which statements regarding the diagram
are correct? Check all that apply.
Ans: A. ST ≅ ST by the reflexive property.
B. ∠RWS ≅ ∠UWT because they are vertical angles.
C. △RWS ≅ △UWT by AAS.
E. ∠WTU ≅ ∠WSR because CPCTC.
Rowena is proving that AD ≅ EB. Which statement does the ♣ represent
in her proof?
Ans: A. ΔACD ≅ ΔECB
Sunday, 02 March 2025
, Complete the paragraph proof.
We are given AB ≅ AE and BC ≅ DE. This means ABE is an isosceles
triangle. Base angles in an isosceles triangle are congruent based on
the isosceles triangle theorem, so ∠ABE ≅ ∠AEB. We can then
determine △ABC ≅ △AED by . Because of CPCTC, segment AC is
congruent to segment . Triangle ACD is an isosceles triangle based on
the definition of isosceles triangle. Therefore, based on the isosceles
triangle theorem, ∠ACD ≅ ∠ADC.
Ans: 1. SAS
2. AD
Mikal is proving that AE ≅ CE . Which reason does the ♣ represent in
Mikal's proof?
Ans: D. AAS
Complete the paragraph proof:
It is given that ∠TUW ≅ ∠SRW and RS ≅ TU. Because ∠RWS and ∠UWT are
vertical angles and vertical angles are congruent, ∠RWS ≅ ∠UWT. Then,
by AAS, △TUW ≅ △SRW. Because CPCTC, SW ≅ TW and WU ≅ RW.
Examstudy - Stuvia US
In today's fast-paced educational landscape, students need reliable resources to excel in their studies.
5.0
USING TRIANGLE CONGRUENCE THEOREMS
QUESTIONS WITH DETAILED VERIFIED ANSWERS (100%
CORRECT ANSWERS) /ALREADY GRADED A+
Which congruency theorem can be used to prove that △ABD ≅
△DCA?
Ans: C. SAS
In the figure below, WU ≅ VT. The congruency theorem can be used to
prove that △WUT ≅ △VTU.
Ans: B. HL
Which congruency theorem can be used to prove that △GHL ≅ △KHJ?
Ans: B. ASA
Analyze the diagram below. Which statements regarding the diagram
are correct? Check all that apply.
Ans: A. ST ≅ ST by the reflexive property.
B. ∠RWS ≅ ∠UWT because they are vertical angles.
C. △RWS ≅ △UWT by AAS.
E. ∠WTU ≅ ∠WSR because CPCTC.
Rowena is proving that AD ≅ EB. Which statement does the ♣ represent
in her proof?
Ans: A. ΔACD ≅ ΔECB
Sunday, 02 March 2025
, Complete the paragraph proof.
We are given AB ≅ AE and BC ≅ DE. This means ABE is an isosceles
triangle. Base angles in an isosceles triangle are congruent based on
the isosceles triangle theorem, so ∠ABE ≅ ∠AEB. We can then
determine △ABC ≅ △AED by . Because of CPCTC, segment AC is
congruent to segment . Triangle ACD is an isosceles triangle based on
the definition of isosceles triangle. Therefore, based on the isosceles
triangle theorem, ∠ACD ≅ ∠ADC.
Ans: 1. SAS
2. AD
Mikal is proving that AE ≅ CE . Which reason does the ♣ represent in
Mikal's proof?
Ans: D. AAS
Complete the paragraph proof:
It is given that ∠TUW ≅ ∠SRW and RS ≅ TU. Because ∠RWS and ∠UWT are
vertical angles and vertical angles are congruent, ∠RWS ≅ ∠UWT. Then,
by AAS, △TUW ≅ △SRW. Because CPCTC, SW ≅ TW and WU ≅ RW.
Examstudy - Stuvia US
