Homework Practice

Printable assignment

Triangles: Congruence Theorems: Final Assessment

Section A: Core Review

Question 1mcq

During a demo problem on triangle rigidity, two triangles have two corresponding sides equal and the included angle equal. Which congruence criterion applies?

A.ASA

B.SSS

C.SAS

D.RHS

Question 2mcq

During a factor problem on congruence basics, in a parallelogram

ABCD

, which pair of opposite sides is equal?

AB=BC

AB=CD

AC=BD

\angle A=\angle B

Question 3mcq

During a garden problem on congruence basics, which statement best describes a line segment?

A.A part of a line with two endpoints

B.A line extending endlessly in both directions

C.A point with no size

D.A circle with a fixed radius

Question 4mcq

During a circle problem on congruence notation, in an isosceles triangle,

AB=AC

and

\angle B=70^\circ

. What is

\angle C

110^\circ

40^\circ

55^\circ

70^\circ

Question 5mcq

If two parallel lines are cut by a transversal and one pair of corresponding angles is

65^\circ

, what is the matching corresponding angle?

90^\circ

115^\circ

65^\circ

180^\circ

Question 6mcq

Two triangles have side lengths

3,4,5

and

3,4,5

. Which criterion proves congruence?

A.RHS only

B.SSS

C.ASA

D.AAA

Question 7mcq

During a identity problem on asa congruence, in a parallelogram

ABCD

, which pair of opposite sides is equal?

AB=CD

AB=BC

AC=BD

\angle A=\angle B

Question 8mcq

If two angles and the included side of one triangle equal the corresponding parts of another, which criterion applies?

A.SSA

B.RHS

C.SSS

D.ASA

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

What is the next term in the geometric progression

2,6,18,54,\ldots

108

162

60

216

Question 11mcq

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 uses all three sides.

D.It never involves an angle.

Question 12mcq

During a polynomial problem on isosceles triangle theorems, in a parallelogram

ABCD

, which pair of opposite sides is equal?

\angle A=\angle B

AB=BC

AC=BD

AB=CD

Question 13mcq

During a notebook problem on isosceles triangle theorems, which statement best describes a line segment?

A.A point with no size

B.A line extending endlessly in both directions

C.A part of a line with two endpoints

D.A circle with a fixed radius

Question 14mcq

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.Only their areas are unrelated.

D.All non-corresponding angles are equal.

Question 15mcq

Which approach correctly demonstrates the idea: Identify the hypothesis and conclusion of a proposition?

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 16mcq

Which approach correctly demonstrates the idea: Write the converse of a geometric statement?

A.Change the question so the answer becomes easier.

B.Use only a guess because diagrams are always exact.

C.Ignore the given conditions and choose any formula.

D.Use the correct definition or theorem and justify each step with mathematical reasoning.

Section C: Challenge and Mixed Practice

Question 17mcq

Which approach correctly demonstrates 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.Use the correct definition or theorem and justify each step with mathematical reasoning.

D.Ignore the given conditions and choose any formula.

Question 18mcq

Which approach correctly demonstrates the idea: Judge when a diagram may be misleading?

A.Use only a guess because diagrams are always exact.

B.Use the correct definition or theorem and justify each step with mathematical reasoning.

C.Change the question so the answer becomes easier.

D.Ignore the given conditions and choose any formula.

Question 19mcq

During a coordinate problem on problem solving with triangles, in an isosceles triangle,

AB=AC

and

\angle B=70^\circ

. What is

\angle C

70^\circ

40^\circ

55^\circ

110^\circ

Question 20mcq

If two parallel lines are cut by a transversal and one pair of corresponding angles is

65^\circ

, what is the matching corresponding angle?

180^\circ

115^\circ

90^\circ

65^\circ

Question 21mcq

During a quiz problem on congruence basics, two triangles have two corresponding sides equal and the included angle equal. Which congruence criterion applies?

A.ASA

B.SSS

C.SAS

D.RHS

Question 22mcq

When a transversal cuts two parallel lines, alternate interior angles are:

A.Unrelated

B.Equal

C.Always

90^\circ

D.Always supplementary only

Question 23mcq

Which approach correctly demonstrates the idea: Write congruence statements in correct order?

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 24mcq

Which information is enough for SAS congruence?

A.One side only

B.Two sides and a non-included angle always

C.Three angles only

D.Two sides and the included angle are equal in two triangles.