Question 1.In a parallelogram, what is the relationship between the diagonals?

A) They are equal in length

B) They bisect each other

C) They are perpendicular

D) They form right angles

Explanation: In a parallelogram, the diagonals bisect each other, meaning they cut each other into two equal parts. However, they are not necessarily equal in length.

Question 2. When two parallel lines are cut by a transversal, which pair of angles are always supplementary?

A) Corresponding angles

B) Alternate interior angles

C) Co-interior angles

D) Vertical angles

Explanation: Co-interior angles (same-side interior angles) add up to 180° when two parallel lines are cut by a transversal, making them supplementary.

Question 3. What is the sum of the interior angles of a parallelogram?

A) 360°

B) 180°

C) 270°

D) 90°

Explanation: The sum of all interior angles of any quadrilateral is 360°.

Question 4. If the sum of two angles in a triangle is 100°, what is the measure of the third angle?

A) 80°

B) 100°

C) 90°

D) 60°

Explanation: The sum of the interior angles in a triangle is always 180°. If two angles add up to 100°, you can find the third angle by subtracting from 180°: .

Question 5. What is the sum of all angles around a point?

A) 180°

B) 360°

C) 270°

D) 90°

Explanation: The sum of all angles around a single point is always 360°, as they complete a full rotation around that point.

Question 6. In a triangle, if one angle measures 70° and another angle measures 50°, what is the measure of the third angle?

A) 60°

B) 70°

C) 50°

D) 80°

Explanation: The sum of the angles in a triangle is always 180°. To find the third angle, you subtract the measures of the known angles from 180°:

Question 7. What is the name given to angles that are in opposite positions when two parallel lines are cut by a transversal?

A) Corresponding angles

B) Vertical angles

C) Alternate angles

D) Co-interior angles

Explanation: Alternate angles are formed in opposite positions when parallel lines are cut by a transversal.

Question 8. If two parallel lines are cut by a transversal, and one of the alternate interior angles is 40°, what is the measure of the other alternate interior angle?

A) 140°

B) 80°

C) 40°

D) 60°

Explanation: Alternate interior angles are equal when two parallel lines are cut by a transversal. Hence, the other angle is also 40°.

Question 9. What is the sum of the three angles in any triangle?

A) 90°

B) 180°

C) 270°

D) 360°

Explanation: The sum of the angles in any triangle is always 180°.

Question 10. When two lines are cut by a transversal, what is the sum of the corresponding angles?

A) 90°

B) 120°

C) 180°

D) They are equal

Explanation: Corresponding angles are always equal when two parallel lines are cut by a transversal.

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