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Geometric Twins Practice 3: Congruence Reasoning and Triangle Congruence Conditions

Concept Check

Question 1mcq
Three sides of one triangle are equal to three sides of another triangle. Which congruence condition applies?
A.SSS
B.AAA
C.SSA
D.Only area comparison
Question 2mcq
Two sides and the included angle of one triangle match another triangle. Which congruence condition applies?
A.AAA
B.SAS
C.SSA
D.Only area comparison
Question 3mcq
Two angles and the included side of one triangle match another triangle. Which congruence condition applies?
A.AAA
B.SSA
C.ASA
D.Only area comparison
Question 4mcq
A student says two triangles are congruent because their three angles are equal. What is the flaw?
A.AAA is always a congruence test.
B.Angles cannot be compared.
C.Equal angles show similarity, not necessarily congruence.
D.Congruence ignores side lengths.
Question 5mcq
A student says two triangles are congruent because their three angles are equal. What is the flaw?
A.AAA is always a congruence test.
B.Angles cannot be compared.
C.Congruence ignores side lengths.
D.Equal angles show similarity, not necessarily congruence.
Question 6mcq
A student says two triangles are congruent because their three angles are equal. What is the flaw?
A.Equal angles show similarity, not necessarily congruence.
B.AAA is always a congruence test.
C.Angles cannot be compared.
D.Congruence ignores side lengths.

Apply and Solve

Question 7mcq
A student says two triangles are congruent because their three angles are equal. What is the flaw?
A.Equal angles show similarity, not necessarily congruence.
B.AAA is always a congruence test.
C.Angles cannot be compared.
D.Congruence ignores side lengths.
Question 8mcq
A student says two triangles are congruent because their three angles are equal. What is the flaw?
A.AAA is always a congruence test.
B.Equal angles show similarity, not necessarily congruence.
C.Angles cannot be compared.
D.Congruence ignores side lengths.
Question 9mcq
A student says two triangles are congruent because their three angles are equal. What is the flaw?
A.AAA is always a congruence test.
B.Angles cannot be compared.
C.Equal angles show similarity, not necessarily congruence.
D.Congruence ignores side lengths.
Question 10mcq
A student says two triangles are congruent because their three angles are equal. What is the flaw?
A.AAA is always a congruence test.
B.Angles cannot be compared.
C.Equal angles show similarity, not necessarily congruence.
D.Congruence ignores side lengths.
Question 11mcq
A student says two triangles are congruent because their three angles are equal. What is the flaw?
A.AAA is always a congruence test.
B.Angles cannot be compared.
C.Congruence ignores side lengths.
D.Equal angles show similarity, not necessarily congruence.
Question 12mcq
A student says two triangles are congruent because their three angles are equal. What is the flaw?
A.Equal angles show similarity, not necessarily congruence.
B.AAA is always a congruence test.
C.Angles cannot be compared.
D.Congruence ignores side lengths.