If $$\triangle ABC \cong \triangle DEF$$ by the ASA Postulate, which of the following must be true?

$$\angle A = \angle D$$ , AB = DE, $$\angle B = \angle E$$

$$\angle A = \angle D$$ , $$\angle B = \angle E$$ , $$\angle C = \angle F$$

$$\angle B = \angle E$$ , BC = EF, $$\angle C = \angle F$$

Which statement is true about the SSA condition?

It is not a valid congruence theorem for triangles.

It is a valid method to prove triangle congruence.

It can sometimes prove triangle congruence but is not reliable.

It is always a valid method to prove right triangles congruent.

If two triangles are congruent by the SAS theorem, which of the following is true?

Both their corresponding sides and angles are congruent.

Their corresponding angles are congruent.

Their corresponding sides are congruent.

Only their corresponding sides adjacent to the angle are congruent.

For which of the following conditions is the ASA Congruence Theorem applicable?

Two angles and the side between them are congruent.

Two sides and the angle opposite one of the sides are congruent.

Two angles and the side opposite one of the angles are congruent.

Two sides and the angle between them are congruent.

When proving triangles congruent using CPCTC, which step comes immediately before applying CPCTC?

Establishing the congruence of the triangles using one of the congruence theorems.

Proving the triangles have at least one congruent side.

Identifying corresponding parts of the triangles.

Measuring all angles and sides of the triangles.

Which of the following is NOT a step in proving triangles congruent using the AAS Congruence Theorem?

Prove the included sides are congruent.

Prove two pairs of corresponding angles are congruent.

Prove a pair of corresponding non-included sides are congruent.

Identify the two triangles being compared.

In the context of triangle congruence, what does the term "included side" refer to?

The side between two angles being used in the congruence proof.

The side opposite the largest angle.

The side that is not used in the congruence proof.

The longest side of the triangle.

If $$\triangle ABC \cong \triangle DEF$$ by the SAS criterion, which of the following must be true?

$$\angle A = \angle D$$ and $$\angle B = \angle E$$

$$\angle B = \angle E$$ and BC = EF

AC = DF and $$\angle C = \angle F$$

The Side-Angle-Side (SAS) Congruence Theorem is used when you know:

Two sides and the angle between them are congruent.

Two sides and an angle are congruent, and the angle is not between the two sides.

Two angles and a side are congruent, and the side is not between the two angles.

Two angles and the side between them are congruent.

What is the primary reason the Side-Side-Angle (SSA) condition is not a valid congruence criterion?

It can lead to ambiguous cases where two different triangles can be formed.

It only applies to right triangles.

It is always a valid criterion but is less commonly used.

It does not take into account the angles of the triangles.

When using CPCTC to prove corresponding parts of congruent triangles are congruent, which of the following is a necessary first step?

Proving that the triangles are congruent using a congruence theorem.

Proving that all sides of the triangles are congruent.

Identifying the corresponding parts of the triangles.

Measuring the angles of the triangles.

Which of the following scenarios would NOT allow you to use the ASA Congruence Theorem to prove two triangles are congruent?

Two angles are congruent, and the side is not between them.

Two angles and the side opposite one of the angles are congruent.

Two angles and the side adjacent to one of the angles are congruent.

Two angles and the side between them are congruent.

In triangle congruence, the term "corresponding parts" refers to:

Parts that have the same measurements in both triangles.

Parts that are in the same position in both triangles.

Which of the following is a true statement about the Angle-Side-Angle (ASA) and Angle-Angle-Side (AAS) congruence theorems?

ASA requires knowing two angles and the included side, while AAS requires two angles and any side.

Both can prove congruence without knowing any side lengths.

Both require knowing at least two side lengths.

Triangles Congruence Mastery Quiz

Authored by Carlo Damus

Mathematics

11th Grade

CCSS covered

Used 1+ times

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24 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a criterion for triangle congruence?

Side-Side-Angle (SSA)

Angle-Side-Angle (ASA)

Angle-Angle-Side (AAS)

Side-Angle-Side (SAS)

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

SAS

ASA

AAS

SSA

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, which theorem proves the triangles are congruent?

ASA

AAS

SAS

SSA

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does CPCTC stand for?

Congruent Points Congruent Triangles Correspondingly

Corresponding Parts of Congruent Triangles are Congruent

Congruent Polygons Corresponding Triangles Congruently

Congruent Parts of Corresponding Triangles are Congruent

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a valid congruence theorem for triangles?

SAS

ASA

AAS

SSA

Tags

CCSS.HSG.CO.B.8

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

ASA

SAS

AAS

SSA

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In proving triangles congruent, the Side-Side-Side (SSS) theorem states that:

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

If two angles and the non-included side of one triangle are equal to two angles and the non-included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

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Triangles Congruence Mastery Quiz

Which of the following is a criterion for triangle congruence?

If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, which theorem proves the triangles are congruent?

What does CPCTC stand for?

Which of the following is NOT a valid congruence theorem for triangles?

In proving triangles congruent, the Side-Side-Side (SSS) theorem states that:

Which theorem is applied when two triangles have two sides and the angle between them congruent?

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