Default Title

Question (1)

QN0030193

A triangle has two equal sides of 8 cm each and a third side of 12 cm. What is the measure of each base angle?

(A) 41.4°
(B) 48.6°
(C) Cannot be determined from the given information alone
(D) 60°

Correct Answer: C

Explanation:

Side lengths alone do not allow angle calculation at this level without additional methods.

Link:

Report Error

Question (2)

QN0030194

A student claims that two triangles are congruent because all three corresponding angles are equal. What is the correct conclusion?

(A) The claim is always correct.
(B) The triangles are congruent only if one corresponding side is also equal.
(C) The triangles are always right-angled.
(D) The triangles are equilateral.

Correct Answer: B

Explanation:

Equal corresponding angles (AAA) establish similarity, not congruence. At least one corresponding side must also be equal for congruence.

Link:

Report Error

Question (3)

QN0030195

In an isosceles triangle, the difference between the vertex angle and one base angle is 24°. What is the measure of the vertex angle?

(A) 72°
(B) 76°
(C) 84°
(D) 96°

Correct Answer: B

Explanation:

Let each base angle be x°. Then the vertex angle is (x + 24)°. So, x + x + (x + 24) = 180°. Hence x = 52° and the vertex angle = 76°.

Link:

Report Error

Question (4)

QN0030196

Which of the following sets of measurements can be used to prove two right-angled triangles congruent?

(A) Two acute angles only
(B) Hypotenuse and one corresponding side
(C) One side and one angle only
(D) Three angles

Correct Answer: B

Explanation:

RHS is applicable only to right-angled triangles.

Link:

Report Error

Question (5)

QN0030197

Which statement is always true for congruent triangles?

(A) They have equal areas only.
(B) They have equal corresponding sides and angles.
(C) They have equal perimeters but different shapes.
(D) They always face the same direction.

Correct Answer: B

Explanation:

Congruent triangles have identical shape and size.

Link:

Report Error

Question (6)

QN0030198

An equilateral triangle has a perimeter of 45 cm. What is the length of each side?

(A) 12 cm
(B) 13 cm
(C) 15 cm
(D) 18 cm

Correct Answer: C

Explanation:

Each side = 45 ÷ 3 = 15 cm.

Link:

Report Error

Question (7)

QN0030199

Which of the following statements is correct?

(A) Every equilateral triangle is an isosceles triangle.
(B) Every isosceles triangle is an equilateral triangle.
(C) No equilateral triangle is isosceles.
(D) An equilateral triangle has only two equal sides.

Correct Answer: A

Explanation:

An equilateral triangle is a special case of an isosceles triangle.

Link:

Report Error

Question (8)

QN0030200

Two triangles have corresponding sides 9 cm, 12 cm and 15 cm. Another pair has sides 6 cm, 8 cm and 10 cm. These triangles are:

(A) Congruent
(B) Similar but not congruent
(C) Neither similar nor congruent
(D) Right-angled and congruent

Correct Answer: B

Explanation:

Their corresponding sides are proportional but not equal.

Link:

Report Error

Question (9)

QN0030201

A triangle has angles 60°, 60° and 60°. Which statement is correct?

(A) It satisfies the RHS criterion.
(B) It is both equilateral and isosceles.
(C) It is scalene.
(D) It has only one line of symmetry.

Correct Answer: B

Explanation:

Every equilateral triangle is also an isosceles triangle.

Link:

Report Error

Question (10)

QN0030202

Which of the following conditions is not a valid criterion for proving triangle congruence?

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

Correct Answer: C

Explanation:

AAA proves only similarity, not congruence.

Link:

Report Error

Question (1)

A triangle has two equal sides of 8 cm each and a third side of 12 cm. What is the measure of each base angle?

Explanation:

Link:

Question (2)

A student claims that two triangles are congruent because all three corresponding angles are equal. What is the correct conclusion?

Explanation:

Link:

Question (3)

In an isosceles triangle, the difference between the vertex angle and one base angle is 24°. What is the measure of the vertex angle?

Explanation:

Link:

Question (4)

Which of the following sets of measurements can be used to prove two right-angled triangles congruent?

Explanation:

Link:

Question (5)

Which statement is always true for congruent triangles?

Explanation:

Link:

Question (6)

An equilateral triangle has a perimeter of 45 cm. What is the length of each side?

Explanation:

Link:

Question (7)

Which of the following statements is correct?

Explanation:

Link:

Question (8)

Two triangles have corresponding sides 9 cm, 12 cm and 15 cm. Another pair has sides 6 cm, 8 cm and 10 cm. These triangles are:

Explanation:

Link:

Question (9)

A triangle has angles 60°, 60° and 60°. Which statement is correct?

Explanation:

Link:

Question (10)

Which of the following conditions is not a valid criterion for proving triangle congruence?

Explanation:

Link:

Excel With Tutors

ExcelWithTutors

For Student

For Tutors

Learn

OUR POLICY