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Question (31)

QN0030143

Two triangles have sides 8 cm and 10 cm with the included angle 45°. Which congruence condition proves them congruent?

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

Correct Answer: B

Explanation:

Two sides and the included angle satisfy the SAS condition.

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Question (32)

QN0030144

If ΔABC ≅ ΔPQR and AC = 9 cm, then the length of PR is:

(A) 7 cm
(B) 8 cm
(C) 9 cm
(D) Cannot be determined

Correct Answer: C

Explanation:

Corresponding sides of congruent triangles are equal.

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Question (33)

QN0030145

Which of the following is not a sufficient condition for triangle congruence?

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

Correct Answer: B

Explanation:

SSA does not always guarantee congruence.

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Question (34)

QN0030146

If ΔXYZ ≅ ΔLMN, then the corresponding angle of ∠Y is:

(A) ∠L
(B) ∠M
(C) ∠N
(D) Cannot be determined

Correct Answer: B

Explanation:

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

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Question (35)

QN0030147

Two right-angled triangles have hypotenuse 17 cm and one corresponding side 8 cm. Which criterion proves they are congruent?

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

Correct Answer: C

Explanation:

Equal hypotenuse and one corresponding side satisfy the RHS criterion.

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Question (36)

QN0030148

Two triangles have equal corresponding sides of 6 cm, 8 cm and 10 cm. Their corresponding angles will be:

(A) Unequal
(B) Equal
(C) Supplementary
(D) Complementary

Correct Answer: B

Explanation:

Congruent triangles have equal corresponding angles.

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Question (37)

QN0030149

Which statement is correct about the congruence notation ΔABC ≅ ΔPQR?

(A) AB corresponds to QR.
(B) BC corresponds to PQ.
(C) AC corresponds to PR.
(D) ∠A corresponds to ∠Q.

Correct Answer: C

Explanation:

A↔P, B↔Q and C↔R, so AC corresponds to PR.

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Question (38)

QN0030150

Two triangles have angles 55° and 45° with the included side equal. Which congruence condition applies?

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

Correct Answer: B

Explanation:

Two angles and the included side satisfy the ASA condition.

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Question (39)

QN0030151

If two triangles satisfy the AAS condition, which of the following is true?

(A) They may not be congruent.
(B) They are always congruent.
(C) They are always similar but not congruent.
(D) Another side measurement is required.

Correct Answer: B

Explanation:

AAS is a valid triangle congruence criterion.

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Question (40)

QN0030152

Which one of the following lists contains only valid triangle congruence conditions?

(A) SSS, SAS, ASA, AAS, RHS
(B) SSS, SSA, SAS, AAA, RHS
(C) SAS, SSA, AAA, AAS, RHS
(D) SSS, AAA, ASA, SSA, SAS

Correct Answer: A

Explanation:

The valid congruence conditions are SSS, SAS, ASA, AAS and RHS.

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Question (31)

Two triangles have sides 8 cm and 10 cm with the included angle 45°. Which congruence condition proves them congruent?

Explanation:

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Question (32)

If ΔABC ≅ ΔPQR and AC = 9 cm, then the length of PR is:

Explanation:

Link:

Question (33)

Which of the following is not a sufficient condition for triangle congruence?

Explanation:

Link:

Question (34)

If ΔXYZ ≅ ΔLMN, then the corresponding angle of ∠Y is:

Explanation:

Link:

Question (35)

Two right-angled triangles have hypotenuse 17 cm and one corresponding side 8 cm. Which criterion proves they are congruent?

Explanation:

Link:

Question (36)

Two triangles have equal corresponding sides of 6 cm, 8 cm and 10 cm. Their corresponding angles will be:

Explanation:

Link:

Question (37)

Which statement is correct about the congruence notation ΔABC ≅ ΔPQR?

Explanation:

Link:

Question (38)

Two triangles have angles 55° and 45° with the included side equal. Which congruence condition applies?

Explanation:

Link:

Question (39)

If two triangles satisfy the AAS condition, which of the following is true?

Explanation:

Link:

Question (40)

Which one of the following lists contains only valid triangle congruence conditions?

Explanation:

Link:

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