Geometry Quiz

What are parallel lines?

• Two or more lines that intersect at a right angle

• Two or more lines that stay the same distance apart, never intersecting

• An angle that measures exactly 90°

• A polygon with 4 sides

Answer explanation

Parallel lines are defined as two or more lines that remain equidistant from each other and never intersect. This distinguishes them from intersecting lines, which meet at a point.

What is the definition of perpendicular lines?

• Two or more lines that stay the same distance apart, never intersecting

• An angle that measures between 0° and 90°

• Two or more lines that intersect at a right angle

• A polygon with 5 sides

Answer explanation

Perpendicular lines are defined as two or more lines that intersect at a right angle (90°). This distinguishes them from parallel lines, which never meet, and other angles that do not measure 90°.

What is a right angle?

• An angle that measures exactly 90°

• An angle that measures more than 0° but less than 90°

• An angle that measures more than 90° but less than 180°

• A polygon with 6 sides

Answer explanation

A right angle is defined as an angle that measures exactly 90°. This is a fundamental concept in geometry, distinguishing it from acute angles (less than 90°) and obtuse angles (more than 90°).

What is an acute angle?

• An angle that measures exactly 90°

• An angle that measures more than 0° but less than 90°

• An angle that measures more than 90° but less than 180°

• A polygon with 4 sides

Answer explanation

An acute angle is defined as an angle that measures more than 0° but less than 90°. This distinguishes it from right angles (90°) and obtuse angles (greater than 90°). Therefore, the correct choice is the second option.

What is an obtuse angle?

• An angle that measures exactly 90°

• An angle that measures more than 0° less than 90°

• An angle that measures more than 90° but less than 180°

• A polygon with 5 sides

Answer explanation

An obtuse angle is defined as one that measures more than 90° but less than 180°. This distinguishes it from right angles (90°) and acute angles (less than 90°). Therefore, the correct choice is the one that describes this range.

What is a quadrilateral?

• A polygon with 3 sides

• A polygon with 4 sides

• A polygon with 5 sides

• A polygon with 6 sides

Answer explanation

A quadrilateral is defined as a polygon with 4 sides. The other options refer to polygons with 3, 5, and 6 sides, which do not fit the definition of a quadrilateral.

What is a pentagon?

• A polygon with 3 sides

• A polygon with 4 sides

• A polygon with 5 sides

• A polygon with 6 sides

Answer explanation

A pentagon is defined as a polygon with 5 sides. The other options refer to polygons with 3, 4, and 6 sides, which do not match the definition of a pentagon.

What is a hexagon?

• A polygon with 3 sides

• A polygon with 4 sides

• A polygon with 5 sides

• A polygon with 6 sides

Answer explanation

A hexagon is defined as a polygon with 6 sides. The other options refer to polygons with fewer sides: a triangle has 3, a quadrilateral has 4, and a pentagon has 5. Therefore, the correct answer is a polygon with 6 sides.

Which of the following is an example of parallel lines?

• Two lines intersecting at a right angle

• Two lines that never meet and are the same distance apart

• An angle measuring 90°

• A polygon with 5 sides

Answer explanation

The correct choice is 'Two lines that never meet and are the same distance apart' because parallel lines are defined by this property, while the other options describe different geometric concepts.

Which of the following is an example of perpendicular lines?

• Two lines that never meet

• Two lines intersecting at a right angle

• An angle measuring between 0° and 90°

• A polygon with 6 sides

Answer explanation

Perpendicular lines are defined as two lines that intersect at a right angle (90°). Therefore, the correct choice is 'Two lines intersecting at a right angle', as it directly describes this relationship.