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Triangles: Congruence Theorems: Practice 2

Section A: Core Practice

Question 1mcq
If two angles and the included side of one triangle equal the corresponding parts of another, which criterion applies?
A.ASA
B.SSS
C.SSA
D.RHS
Question 2mcq
RHS congruence applies to which triangles?
A.Triangles with three equal angles only.
B.Right triangles with equal hypotenuse and one corresponding side.
C.Any two triangles with equal areas.
D.Only equilateral triangles.
Question 3mcq
Why is SSA not generally a valid congruence condition?
A.It can produce two different triangles with the same given data.
B.It always gives identical triangles.
C.It never involves an angle.
D.It uses all three sides.
Question 4mcq
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 always gives identical triangles.
D.It uses all three sides.
Question 5mcq
Which angle is acute?
A.9090^\circ
B.4545^\circ
C.180180^\circ
D.120120^\circ

Section B: Application Practice

Question 6mcq
Which angle is acute?
A.180180^\circ
B.4545^\circ
C.120120^\circ
D.9090^\circ
Question 7mcq
After proving two triangles congruent, CPCTC allows us to conclude that:
A.The triangles are never similar.
B.Corresponding parts of the congruent triangles are equal.
C.All non-corresponding angles are equal.
D.Only their areas are unrelated.
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
Question 9mcq
RHS congruence applies to which triangles?
A.Only equilateral triangles.
B.Right triangles with equal hypotenuse and one corresponding side.
C.Triangles with three equal angles only.
D.Any two triangles with equal areas.
Question 10mcq
Why is SSA not generally a valid congruence condition?
A.It can produce two different triangles with the same given data.
B.It never involves an angle.
C.It always gives identical triangles.
D.It uses all three sides.