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Question (21)

QN0030133

Which congruence criterion is applicable only to right-angled triangles?

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

Correct Answer: C

Explanation:

RHS applies only to right triangles.

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Question (22)

QN0030134

Two right triangles have hypotenuse 13 cm and one corresponding side 5 cm. They are:

(A) Not congruent
(B) Congruent by RHS
(C) Congruent by SAS only
(D) Similar only

Correct Answer: B

Explanation:

Equal hypotenuse and one corresponding side satisfy RHS.

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Question (23)

QN0030135

If ΔABC ≅ ΔXYZ, then the corresponding side of BC is:

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

Correct Answer: C

Explanation:

B ↔ Y and C ↔ Z.

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Question (24)

QN0030136

Which of the following is an incorrect congruence statement?

(A) ΔABC ≅ ΔPQR when A ↔ P, B ↔ Q, C ↔ R
(B) ΔBAC ≅ ΔQPR when B ↔ Q, A ↔ P, C ↔ R
(C) ΔACB ≅ ΔPRQ when A ↔ P, C ↔ R, B ↔ Q
(D) ΔABC ≅ ΔPRQ when A ↔ P, B ↔ R, C ↔ Q

Correct Answer: D

Explanation:

The order of corresponding vertices is incorrect.

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Question (25)

QN0030137

Two triangles have sides 9 cm and 12 cm with the included angle 50°. They are congruent by:

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

Correct Answer: B

Explanation:

Two sides and the included angle satisfy SAS.

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Question (26)

QN0030138

Which condition is sufficient to prove congruence if all three corresponding sides are equal?

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

Correct Answer: C

Explanation:

SSS guarantees congruence.

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Question (27)

QN0030139

If two triangles satisfy the ASA condition, then they are:

(A) Similar only
(B) Congruent
(C) Equal in area only
(D) Not necessarily congruent

Correct Answer: B

Explanation:

ASA is a valid congruence criterion.

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Question (28)

QN0030140

Two triangles have angles 45° and 65° with the included side measuring 8 cm. Which condition proves congruence?

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

Correct Answer: B

Explanation:

Two angles and the included side satisfy ASA.

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Question (29)

QN0030141

If ΔLMN ≅ ΔRST and LM = 7 cm, then RS equals:

(A) 5 cm
(B) 6 cm
(C) 7 cm
(D) Cannot be determined

Correct Answer: C

Explanation:

Corresponding sides of congruent triangles are equal.

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Question (30)

QN0030142

Which of the following sets of conditions always guarantees congruence?

(A) SSA only
(B) Three equal angles only
(C) SAS, SSS, ASA, AAS and RHS
(D) Two equal sides only

Correct Answer: C

Explanation:

These are the five valid congruence conditions for triangles.

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Question (21)

Which congruence criterion is applicable only to right-angled triangles?

Explanation:

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Question (22)

Two right triangles have hypotenuse 13 cm and one corresponding side 5 cm. They are:

Explanation:

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Question (23)

If ΔABC ≅ ΔXYZ, then the corresponding side of BC is:

Explanation:

Link:

Question (24)

Which of the following is an incorrect congruence statement?

Explanation:

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Question (25)

Two triangles have sides 9 cm and 12 cm with the included angle 50°. They are congruent by:

Explanation:

Link:

Question (26)

Which condition is sufficient to prove congruence if all three corresponding sides are equal?

Explanation:

Link:

Question (27)

If two triangles satisfy the ASA condition, then they are:

Explanation:

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Question (28)

Two triangles have angles 45° and 65° with the included side measuring 8 cm. Which condition proves congruence?

Explanation:

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Question (29)

If ΔLMN ≅ ΔRST and LM = 7 cm, then RS equals:

Explanation:

Link:

Question (30)

Which of the following sets of conditions always guarantees congruence?

Explanation:

Link:

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