Quiz about Triangle Congruence Theorems Review

Question 1

Which of the following is a criterion for triangle congruence?

Accepted Answer

SAS

Answer

AAA

Answer

SSA

Question 2

If $$ riangle ABC \cong riangle DEF$$ , which of the following must be true?

Accepted Answer

All of the above

Answer

$$AB = DE$$ and $$\angle A = \angle D$$

Answer

$$AC = DF$$ and $$\angle B = \angle E$$

Answer

$$BC = EF$$ and $$\angle C = \angle F$$

Question 3

Which triangle congruence theorem states that two triangles are congruent if two angles and the included side are equal?

Accepted Answer

ASA

Answer

SSS

Answer

SAS

Answer

AAS

Question 4

Two triangles are congruent if and only if:

Accepted Answer

Their corresponding sides and angles are equal.

Answer

Their corresponding sides are proportional.

Answer

Their corresponding angles are equal.

Answer

They have the same area.

Question 5

Which of the following is NOT a valid triangle congruence theorem?

Accepted Answer

SSA

Answer

SAS

Answer

SSS

Answer

ASA

Question 6

If $$ riangle XYZ \cong riangle PQR$$ , which of the following statements is true?

Accepted Answer

All of the above

Answer

$$XY = PQ$$ and $$\angle X = \angle P$$

Answer

$$YZ = PR$$ and $$\angle Y = \angle Q$$

Answer

$$XZ = QR$$ and $$\angle Z = \angle R$$

Question 7

Which congruence theorem can be used if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle?

Accepted Answer

SAS

Answer

SSS

Answer

ASA

Answer

AAS

Question 8

What is the definition of congruence in terms of rigid motions?

Accepted Answer

Two figures are congruent if one can be obtained from the other by a sequence of rotations, reflections, and translations.

Answer

Two figures are congruent if they have the same shape and size.

Answer

Two figures are congruent if they have the same area.

Answer

Two figures are congruent if they have the same perimeter.

Question 9

Which of the following is a valid triangle congruence theorem?

Accepted Answer

AAS

Accepted Answer

ASA

Answer

AAA

Answer

SSA

Question 10

If $$ riangle ABC \cong riangle DEF$$ , which of the following must be true?

Accepted Answer

All of the above

Answer

$$AB = DE$$

Answer

$$\angle A = \angle D$$

Answer

$$BC = EF$$

Question 11

Which triangle congruence theorem involves three pairs of equal sides?

Accepted Answer

SSS

Answer

SAS

Answer

ASA

Answer

AAS

Question 12

Two triangles are congruent if:

Accepted Answer

Both A and B

Answer

Their corresponding sides are equal.

Answer

Their corresponding angles are equal.

Answer

None of the above

Question 13

Which of the following is a criterion for triangle congruence?

Accepted Answer

SSS

Accepted Answer

ASA

Answer

SSA

Answer

AAA

Question 14

If $$ riangle GHI \cong riangle JKL$$ , which of the following statements is true?

Accepted Answer

All of the above

Answer

$$GH = JK$$ and $$\angle G = \angle J$$

Answer

$$HI = KL$$ and $$\angle H = \angle K$$

Answer

$$GI = JL$$ and $$\angle I = \angle L$$

Question 15

Which congruence theorem can be used if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle?

Accepted Answer

AAS

Answer

SSS

Answer

SAS

Answer

ASA

Question 16

What does CPCTC stand for in geometry?

Accepted Answer

Corresponding Parts of Congruent Triangles are Congruent

Answer

Congruent Parts of Corresponding Triangles are Complementary

Answer

Corresponding Parts of Congruent Triangles are Complementary

Answer

Congruent Parts of Corresponding Triangles are Congruent

Question 17

In a proof involving triangle congruence, when is CPCTC typically used?

Accepted Answer

After proving triangles are congruent

Answer

To prove angles are supplementary

Answer

To prove triangles are similar

Answer

Before proving triangles are congruent

Question 18

Which of the following statements can be justified using CPCTC?

Accepted Answer

If $$ riangle ABC \cong riangle DEF$$ , then $$\angle A = \angle D$$

Answer

If $$ riangle ABC \cong riangle DEF$$ , then $$AB \perp DE$$

Answer

If $$ riangle ABC \cong riangle DEF$$ , then $$AB \parallel DE$$

Answer

If $$ riangle ABC \cong riangle DEF$$ , then $$\angle B + \angle E = 180^\circ$$

Question 19

Which triangle congruence theorem can be used to prove the triangles are congruent?

Accepted Answer

SAS

Answer

AAS

Answer

SSS

Answer

SSA

Question 20

Which triangle congruence theorem can be used to prove the triangles are congruent?

Accepted Answer

SSS

Answer

SAS

Answer

Not enough information

Answer

AAS

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