Question 1. What is the definition of parallel lines?

A) Lines that meet at a point

B) Lines that keep the same distance and never meet

C) Lines that cross each other

D) Lines that are perpendicular to each other

Explanation: Parallel lines are straight lines in a plane that do not intersect or touch each other at any point, no matter how far they are extended. They remain the same distance apart.

Question 2. In a parallelogram, what is true about the opposite sides?

A) They are equal and perpendicular

B) They are curved

C) They are parallel

D) They meet at a 90-degree angle

Explanation: In a parallelogram, opposite sides are not only parallel, but they are also of equal length. Additionally, opposite angles are equal, but they do not have to meet at a 90-degree angle - that's only true for rectangles and squares (special types of parallelograms).

Question 3. How many angles are formed when two lines intersect?

A) 2

B) 4

C) 6

D) 8

Explanation: When two straight lines intersect, they form four angles. Here’s a simple visualization: if you draw two lines crossing each other, you can observe that they create four angles around the intersection point. Each angle is formed between the two lines.

Question 4. If two lines are crossed by another line, what can we say about the alternate interior angles?

A) They are equal

B) They are different

C) They are supplementary

D) They are complementary

Explanation: A When two parallel lines are cut by a transversal (the line that crosses them), the alternate interior angles (the angles that are on opposite sides of the transversal and inside the parallel lines) are equal. This property is a key part of geometry involving parallel lines.

Question 5. What is the sum of the interior angles on the same side of the transversal in parallel lines?

A) 90°

B) 180°

C) 270°

D) 360°

Explanation: When two parallel lines are intersected by a transversal, the interior angles that are on the same side of the transversal are supplementary, meaning they add up to 180 degrees. This is true for any pair of angles on the same side of the transversal in the context of parallel lines.

Question 6. If one of the angles formed by a transversal with two parallel lines is 50°, what is the measure of the corresponding angle?

A) 50°

B) 130°

C) 100°

D) 180°

Explanation: Corresponding angles are angles that are in the same position at each intersection where a transversal crosses the parallel lines. If one angle is 50°, then the corresponding angle is also 50° because they are equal when the lines are parallel.

Question 7. When two parallel lines are cut by a transversal, what can be said about the corresponding angles?

A) They are complementary

B) They are equal

C) They are supplementary

D) They are zero

Explanation: Corresponding angles are formed when a transversal crosses parallel lines. These angles occupy the same relative position at each intersection, and when the lines are parallel, corresponding angles are always equal.

Question 8.If the sum of a small angle and a large angle in parallel lines is 180°, and the small angle is 60°, what is the large angle?

A) 30°

B) 60°

C) 120°

D) 90°

Explanation: If the small angle is 60° and the two angles are supplementary (add up to 180°), you can find the large angle by subtracting the small angle from 180°: ( 180° - 60° = 120°).

Question 9. In a triangle, if one angle is 90° and another is 40°, what is the third angle?

A) 40°

B) 50°

C) 60°

D) 70°

Explanation: The sum of the angles in a triangle is always 180°. If one angle is 90° and another is 40°, you can find the third angle by subtracting the sum of the known angles from 180°: ( 180° - (90° + 40°) = 180° - 130° = 50°).

Question 10. What is the sum of all angles in a triangle?

A) 90°

B) 120°

C) 180°

D) 360°

Explanation: In any triangle, the sum of all interior angles is always equal to 180°. This is a fundamental rule in geometry applicable to all triangles, regardless of their shape.

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