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Question (1)

QN0030113

Which congruence condition states that if the three corresponding sides of two triangles are equal, then the triangles are congruent?

(A) SAS
(B) ASA
(C) SSS
(D) RHS

Correct Answer: C

Explanation:

SSS (Side-Side-Side) guarantees congruence.

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Question (2)

QN0030114

Two triangles have side lengths 5 cm, 7 cm and 9 cm respectively. Which statement is correct?

(A) They may or may not be congruent.
(B) They are congruent by SSS.
(C) They are similar only.
(D) More angle measurements are needed.

Correct Answer: B

Explanation:

Equal corresponding sides satisfy the SSS condition.

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Question (3)

QN0030115

Which of the following conditions does not always guarantee the congruence of two triangles?

(A) SSS
(B) SAS
(C) SSA
(D) RHS

Correct Answer: C

Explanation:

SSA may produce two different triangles.

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Question (4)

QN0030116

If ΔABC ≅ ΔPQR, then the corresponding vertex of B is:

(A) P
(B) Q
(C) R
(D) Cannot be determined

Correct Answer: B

Explanation:

The order of naming determines the correspondence.

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Question (5)

QN0030117

In the congruence statement ΔMNO ≅ ΔXYZ, the side NO corresponds to:

(A) XY
(B) YZ
(C) XZ
(D) ZX

Correct Answer: B

Explanation:

Corresponding vertices are M↔X, N↔Y and O↔Z.

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Question (6)

QN0030118

Which of the following is the correct congruence statement if A ↔ X, B ↔ Y and C ↔ Z?

(A) ΔABC ≅ ΔXYZ
(B) ΔBAC ≅ ΔXYZ
(C) ΔCAB ≅ ΔXYZ
(D) ΔACB ≅ ΔXYZ

Correct Answer: A

Explanation:

The order of corresponding vertices must be maintained.

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Question (7)

QN0030119

Two triangles have side lengths 4 cm, 6 cm and 8 cm. How many different non-congruent triangles can be formed?

(A) 0
(B) 1
(C) 2
(D) Infinitely many

Correct Answer: B

Explanation:

Three sides uniquely determine a triangle.

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Question (8)

QN0030120

If ΔABC ≅ ΔDEF, then ∠B is equal to:

(A) ∠D
(B) ∠E
(C) ∠F
(D) None of these

Correct Answer: B

Explanation:

Corresponding vertices are A↔D, B↔E and C↔F.

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Question (9)

QN0030121

Which congruence condition uses two sides and the included angle?

(A) ASA
(B) SAS
(C) RHS
(D) AAS

Correct Answer: B

Explanation:

SAS stands for Side-Angle-Side.

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Question (10)

QN0030122

Two triangles have sides 7 cm and 5 cm with the included angle 40°. Which congruence condition proves them congruent?

(A) SSS
(B) SAS
(C) ASA
(D) SSA

Correct Answer: B

Explanation:

Two sides and the included angle satisfy SAS.

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Question (1)

Which congruence condition states that if the three corresponding sides of two triangles are equal, then the triangles are congruent?

Explanation:

Link:

Question (2)

Two triangles have side lengths 5 cm, 7 cm and 9 cm respectively. Which statement is correct?

Explanation:

Link:

Question (3)

Which of the following conditions does not always guarantee the congruence of two triangles?

Explanation:

Link:

Question (4)

If ΔABC ≅ ΔPQR, then the corresponding vertex of B is:

Explanation:

Link:

Question (5)

In the congruence statement ΔMNO ≅ ΔXYZ, the side NO corresponds to:

Explanation:

Link:

Question (6)

Which of the following is the correct congruence statement if A ↔ X, B ↔ Y and C ↔ Z?

Explanation:

Link:

Question (7)

Two triangles have side lengths 4 cm, 6 cm and 8 cm. How many different non-congruent triangles can be formed?

Explanation:

Link:

Question (8)

If ΔABC ≅ ΔDEF, then ∠B is equal to:

Explanation:

Link:

Question (9)

Which congruence condition uses two sides and the included angle?

Explanation:

Link:

Question (10)

Two triangles have sides 7 cm and 5 cm with the included angle 40°. Which congruence condition proves them congruent?

Explanation:

Link:

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