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Triangles: Congruence Theorems: Practice 3

Section A: Core Practice

Question 1mcq
A student is practising Propositions and Converses. Which statement best matches the idea: Identify the hypothesis and conclusion of a proposition?
A.Change the question so the answer becomes easier.
B.Use the correct definition or theorem and justify each step with mathematical reasoning.
C.Use only a guess because diagrams are always exact.
D.Ignore the given conditions and choose any formula.
Question 2mcq
A student is practising Propositions and Converses. Which statement best matches the idea: Write the converse of a geometric statement?
A.Ignore the given conditions and choose any formula.
B.Change the question so the answer becomes easier.
C.Use the correct definition or theorem and justify each step with mathematical reasoning.
D.Use only a guess because diagrams are always exact.
Question 3mcq
A student is practising Propositions and Converses. Which statement best matches the idea: Use counterexamples to disprove false converses?
A.Use only a guess because diagrams are always exact.
B.Change the question so the answer becomes easier.
C.Ignore the given conditions and choose any formula.
D.Use the correct definition or theorem and justify each step with mathematical reasoning.
Question 4mcq
A student is practising Diagram Reasoning. Which statement best matches the idea: Judge when a diagram may be misleading?
A.Use the correct definition or theorem and justify each step with mathematical reasoning.
B.Ignore the given conditions and choose any formula.
C.Change the question so the answer becomes easier.
D.Use only a guess because diagrams are always exact.
Question 5mcq
Which angle is acute?
A.90∘90^\circ
B.120∘120^\circ
C.45∘45^\circ
D.180∘180^\circ

Section B: Application Practice

Question 6mcq
A student is practising Propositions and Converses. Which statement best matches the idea: Identify the hypothesis and conclusion of a proposition?
A.Ignore the given conditions and choose any formula.
B.Use only a guess because diagrams are always exact.
C.Use the correct definition or theorem and justify each step with mathematical reasoning.
D.Change the question so the answer becomes easier.
Question 7mcq
A student is practising Propositions and Converses. Which statement best matches the idea: Write the converse of a geometric statement?
A.Use the correct definition or theorem and justify each step with mathematical reasoning.
B.Use only a guess because diagrams are always exact.
C.Change the question so the answer becomes easier.
D.Ignore the given conditions and choose any formula.
Question 8mcq
A student is practising Propositions and Converses. Which statement best matches the idea: Use counterexamples to disprove false converses?
A.Use only a guess because diagrams are always exact.
B.Ignore the given conditions and choose any formula.
C.Change the question so the answer becomes easier.
D.Use the correct definition or theorem and justify each step with mathematical reasoning.
Question 9mcq
A student is practising Diagram Reasoning. Which statement best matches the idea: Judge when a diagram may be misleading?
A.Change the question so the answer becomes easier.
B.Ignore the given conditions and choose any formula.
C.Use the correct definition or theorem and justify each step with mathematical reasoning.
D.Use only a guess because diagrams are always exact.
Question 10mcq
Which angle is acute?
A.45∘45^\circ
B.180∘180^\circ
C.120∘120^\circ
D.90∘90^\circ