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Question (11)

QN0030123

Two triangles have angles 50° and 30° with the included side equal. Which congruence condition applies?

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

Correct Answer: B

Explanation:

Two angles and the included side satisfy ASA.

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Question (12)

QN0030124

Which statement about the SSA condition is correct?

(A) It always guarantees congruence.
(B) It never forms a triangle.
(C) It may produce two non-congruent triangles.
(D) It is another name for SAS.

Correct Answer: C

Explanation:

SSA is not a valid congruence criterion in general.

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Question (13)

QN0030125

Two right triangles have hypotenuse 10 cm and one corresponding side 6 cm. The triangles are:

(A) Congruent by RHS
(B) Congruent by ASA
(C) Congruent by SAS
(D) Not necessarily congruent

Correct Answer: A

Explanation:

RHS guarantees congruence in right triangles.

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Question (14)

QN0030126

In a right triangle, the side opposite the right angle is called the:

(A) Median
(B) Base
(C) Hypotenuse
(D) Altitude

Correct Answer: C

Explanation:

The hypotenuse is always opposite the right angle.

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Question (15)

QN0030127

Which congruence condition uses two angles and a non-included side?

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

Correct Answer: C

Explanation:

AAS (Angle-Angle-Side) guarantees congruence.

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Question (16)

QN0030128

Two triangles have angles 35° and 75°, and a corresponding non-included side of 6 cm. Which congruence condition proves them congruent?

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

Correct Answer: B

Explanation:

Two angles and a non-included side satisfy the AAS condition.

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Question (17)

QN0030129

Two triangles have angles 40°, 60°, and 80° each. Which statement is correct?

(A) They are always congruent.
(B) They are always similar but not necessarily congruent.
(C) They are congruent by ASA.
(D) They are congruent by AAS.

Correct Answer: B

Explanation:

Equal angles alone determine shape, not size.

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Question (18)

QN0030130

Two triangles have sides 8 cm and 6 cm with the non-included angle equal to 30°. Which statement is correct?

(A) They are congruent by SAS.
(B) They are congruent by SSS.
(C) They may not be congruent because SSA is not sufficient.
(D) They are congruent by RHS.

Correct Answer: C

Explanation:

SSA does not always guarantee congruence.

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Question (19)

QN0030131

If ΔPQR ≅ ΔXYZ, then side PR corresponds to:

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

Correct Answer: C

Explanation:

P ↔ X, Q ↔ Y and R ↔ Z.

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Question (20)

QN0030132

In ΔABC ≅ ΔDEF, if ∠A = 55° and ∠B = 65°, then ∠E equals:

(A) 55°
(B) 60°
(C) 65°
(D) 120°

Correct Answer: C

Explanation:

Corresponding angles are equal.

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Question (11)

Two triangles have angles 50° and 30° with the included side equal. Which congruence condition applies?

Explanation:

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Question (12)

Which statement about the SSA condition is correct?

Explanation:

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Question (13)

Two right triangles have hypotenuse 10 cm and one corresponding side 6 cm. The triangles are:

Explanation:

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Question (14)

In a right triangle, the side opposite the right angle is called the:

Explanation:

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Question (15)

Which congruence condition uses two angles and a non-included side?

Explanation:

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Question (16)

Two triangles have angles 35° and 75°, and a corresponding non-included side of 6 cm. Which congruence condition proves them congruent?

Explanation:

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Question (17)

Two triangles have angles 40°, 60°, and 80° each. Which statement is correct?

Explanation:

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Question (18)

Two triangles have sides 8 cm and 6 cm with the non-included angle equal to 30°. Which statement is correct?

Explanation:

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Question (19)

If ΔPQR ≅ ΔXYZ, then side PR corresponds to:

Explanation:

Link:

Question (20)

In ΔABC ≅ ΔDEF, if ∠A = 55° and ∠B = 65°, then ∠E equals:

Explanation:

Link:

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