Triangle Congruency: Cpctc - Finding Angles Worksheet With Answer Key Page 6
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9ID: B
Triangle Congruency: CPCTC
Answer Section
MULTIPLE CHOICE
1. ANS: D
1a. By the Linear Pair Theorem, ∠CBF and ∠ABC are supplementary and ∠CDG and ∠ADC are
supplementary.
1b. Given ∠CBF ≅ ∠CDG , by the Congruent Supplements Theorem, ∠ABC ≅ ∠ADC .
2. ∠CAB ≅ ∠CAD by the definition of an angle bisector.
3. AC ≅ AC by the Reflexive Property of Congruence
4. Two angles and a nonincluded side of ∆ACB and ∆ACD are congruent. By AAS,
∆ACB ≅ ∆ACD.
5. Since ∆ACB ≅ ∆ACD, AD ≅ AB by CPCTC.
Feedback
For statement 2, use the fact that line segment AC bisects angle A, not angle C.
A
For reason 1, check whether the linear pairs are complementary or supplementary.
B
Find the correct property that states that a line segment is congruent to itself.
C
Correct!
D
PTS: 1
DIF: Average
REF: 1a8acdb2-4683-11df-9c7d-001185f0d2ea
OBJ: 4-6.2 Proving Corresponding Parts Congruent
LOC: MTH.C.11.08.02.01.003 | MTH.C.11.08.02.004
TOP: 4-6 Triangle Congruence: CPCTC
KEY: congruent triangles | corresponding parts | CPCTC | flowchart proof
DOK: DOK 2
2. ANS: D
From the figure, CO ≅ AO , and DO ≅ BO . ∠AOB ≅ ∠COD by the Vertical Angles Theorem. Therefore,
∆ABO ≅ ∆CDO by SAS and ∠A ≅ ∠C by CPCTC. m ∠A = 40 ° by substitution.
Feedback
First, show that the triangles are congruent. Then, show that their corresponding parts
A
are congruent.
First, show that the triangles are congruent. Then, show that their corresponding parts
B
are congruent.
First, show that the triangles are congruent. Then, show that their corresponding parts
C
are congruent.
Correct!
D
PTS: 1
DIF: Average
REF: 1a886b56-4683-11df-9c7d-001185f0d2ea
OBJ: 4-6.1 Application
STA: NY.NYLES.MTH.05.GEO.G.G.28
LOC: MTH.C.11.08.02.01.003 | MTH.C.11.08.02.02.02.004
TOP: 4-6 Triangle Congruence: CPCTC
KEY: congruent triangles | corresponding parts | CPCTC
DOK: DOK 2
1
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