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Homework Practice

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Triangles: Congruence Theorems: Practice 1

Section A: Core Practice

Question 1mcq
Which angle is acute?
A.180∘180^\circ
B.45∘45^\circ
C.120∘120^\circ
D.90∘90^\circ
Question 2mcq
Which angle is acute?
A.120∘120^\circ
B.90∘90^\circ
C.45∘45^\circ
D.180∘180^\circ
Question 3mcq
When a transversal cuts two parallel lines, alternate interior angles are:
A.Always 90∘90^\circ
B.Unrelated
C.Equal
D.Always supplementary only
Question 4mcq
A student is practising Congruence Notation. Which statement best matches the idea: Write congruence statements in correct order?
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 5mcq
Which information is enough for SAS congruence?
A.Two sides and a non-included angle always
B.Three angles only
C.Two sides and the included angle are equal in two triangles.
D.One side only

Section B: Application Practice

Question 6mcq
Two triangles have side lengths 3,4,53,4,5 and 3,4,53,4,5. Which criterion proves congruence?
A.SSS
B.ASA
C.RHS only
D.AAA
Question 7mcq
If two angles and the included side of one triangle equal the corresponding parts of another, which criterion applies?
A.SSA
B.ASA
C.SSS
D.RHS
Question 8mcq
Which angle is acute?
A.180∘180^\circ
B.90∘90^\circ
C.120∘120^\circ
D.45∘45^\circ
Question 9mcq
Which angle is acute?
A.45∘45^\circ
B.180∘180^\circ
C.120∘120^\circ
D.90∘90^\circ
Question 10mcq
When a transversal cuts two parallel lines, alternate interior angles are:
A.Always supplementary only
B.Equal
C.Unrelated
D.Always 90∘90^\circ