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Triangles: Congruence Theorems: Final Assessment

Section A: Core Review

Question 1mcq
In a review question, which angle is acute?
A.45∘45^\circ
B.90∘90^\circ
C.120∘120^\circ
D.180∘180^\circ
Question 2mcq
Which angle is acute?
A.180∘180^\circ
B.45∘45^\circ
C.120∘120^\circ
D.90∘90^\circ
Question 3mcq
When a transversal cuts two parallel lines, alternate interior angles are:
A.Always supplementary only
B.Always 90∘90^\circ
C.Unrelated
D.Equal
Question 4mcq
A student is practising Congruence Notation. Which statement best matches the idea: Write congruence statements in correct order?
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 5mcq
Which information is enough for SAS congruence?
A.One side only
B.Two sides and the included angle are equal in two triangles.
C.Three angles only
D.Two sides and a non-included angle always
Question 6mcq
Two triangles have side lengths 3,4,53,4,5 and 3,4,53,4,5. Which criterion proves congruence?
A.RHS only
B.ASA
C.SSS
D.AAA
Question 7mcq
If two angles and the included side of one triangle equal the corresponding parts of another, which criterion applies?
A.RHS
B.SSS
C.SSA
D.ASA
Question 8mcq
If two angles and the included side of one triangle equal the corresponding parts of another, which criterion applies?
A.ASA
B.RHS
C.SSS
D.SSA

Section B: Application and Reasoning

Question 9mcq
RHS congruence applies to which triangles?
A.Only equilateral triangles.
B.Triangles with three equal angles only.
C.Right triangles with equal hypotenuse and one corresponding side.
D.Any two triangles with equal areas.
Question 10mcq
Why is SSA not generally a valid congruence condition?
A.It never involves an angle.
B.It can produce two different triangles with the same given data.
C.It uses all three sides.
D.It always gives identical triangles.
Question 11mcq
Why is SSA not generally a valid congruence condition?
A.It uses all three sides.
B.It always gives identical triangles.
C.It can produce two different triangles with the same given data.
D.It never involves an angle.
Question 12mcq
Which angle is acute?
A.120∘120^\circ
B.90∘90^\circ
C.180∘180^\circ
D.45∘45^\circ
Question 13mcq
In a review question, which angle is acute?
A.120∘120^\circ
B.180∘180^\circ
C.90∘90^\circ
D.45∘45^\circ
Question 14mcq
After proving two triangles congruent, CPCTC allows us to conclude that:
A.Corresponding parts of the congruent triangles are equal.
B.The triangles are never similar.
C.Only their areas are unrelated.
D.All non-corresponding angles are equal.
Question 15mcq
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 the correct definition or theorem and justify each step with mathematical reasoning.
C.Change the question so the answer becomes easier.
D.Use only a guess because diagrams are always exact.
Question 16mcq
A student is practising Propositions and Converses. Which statement best matches the idea: Write the converse of a geometric statement?
A.Change the question so the answer becomes easier.
B.Use the correct definition or theorem and justify each step with mathematical reasoning.
C.Ignore the given conditions and choose any formula.
D.Use only a guess because diagrams are always exact.

Section C: Challenge and Mixed Practice

Question 17mcq
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 18mcq
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.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 19mcq
In a review question, which angle is acute?
A.120∘120^\circ
B.180∘180^\circ
C.90∘90^\circ
D.45∘45^\circ
Question 20mcq
Which angle is acute?
A.90∘90^\circ
B.45∘45^\circ
C.180∘180^\circ
D.120∘120^\circ
Question 21mcq
Which angle is acute?
A.120∘120^\circ
B.90∘90^\circ
C.180∘180^\circ
D.45∘45^\circ
Question 22mcq
When a transversal cuts two parallel lines, alternate interior angles are:
A.Unrelated
B.Always 90∘90^\circ
C.Equal
D.Always supplementary only
Question 23mcq
A student is practising Congruence Notation. Which statement best matches the idea: Write congruence statements in correct order?
A.Ignore the given conditions and choose any formula.
B.Use the correct definition or theorem and justify each step with mathematical reasoning.
C.Change the question so the answer becomes easier.
D.Use only a guess because diagrams are always exact.
Question 24mcq
Which information is enough for SAS congruence?
A.One side only
B.Two sides and a non-included angle always
C.Two sides and the included angle are equal in two triangles.
D.Three angles only