Lines And Angles (Geometry) Quiz Questions

1. If two angles are complementary, what is the sum of their measures?

90 degrees

180 degrees

270 degrees

360 degrees

Complementary angles are two angles that add up to 90 degrees. This concept is fundamental in geometry and is often used in various geometrical proofs and calculations.

Explanation

Complementary angles are two angles that add up to 90 degrees. This concept is fundamental in geometry and is often used in various geometrical proofs and calculations.

2.

A Right angle is:

A special angle formed by perpendicular lines and equal 90 degrees.

An angle that measures less than 90 degrees.

An angles whose measure is greater than 90 degrees but less than 180 degrees.

A right angle is a special angle formed by perpendicular lines and has a measure of 90 degrees. This means that when two lines intersect to form a right angle, the angle between them is exactly 90 degrees. It is different from angles that measure less than 90 degrees or angles that measure more than 90 degrees but less than 180 degrees.

Explanation

A right angle is a special angle formed by perpendicular lines and has a measure of 90 degrees. This means that when two lines intersect to form a right angle, the angle between them is exactly 90 degrees. It is different from angles that measure less than 90 degrees or angles that measure more than 90 degrees but less than 180 degrees.

3.

An Acute angle is:

An angle whose measures is greater than 90 degrees but less than 180 degrees.

An angle that measures less than 90 degrees.

An angles that is formed by perpendicular lines and equal 90 degrees.

An acute angle is an angle that measures less than 90 degrees. This means that the angle is smaller than a right angle (which measures exactly 90 degrees) and does not extend past the halfway mark of a straight angle (which measures 180 degrees). Acute angles are typically associated with sharp or narrow corners and are commonly found in geometric shapes such as triangles.

Explanation

An acute angle is an angle that measures less than 90 degrees. This means that the angle is smaller than a right angle (which measures exactly 90 degrees) and does not extend past the halfway mark of a straight angle (which measures 180 degrees). Acute angles are typically associated with sharp or narrow corners and are commonly found in geometric shapes such as triangles.

4. A Ray in defined as:

A part of a line; it begins at one endpoint and extends forever in one direction.

A part of a line between two endpoints.

A straight path in a plane, extending in both directions with no endpoints.

A ray is defined as a part of a line that starts at one endpoint and continues indefinitely in one direction. Unlike a line segment, a ray has no endpoint on the side it extends towards.

Explanation

A ray is defined as a part of a line that starts at one endpoint and continues indefinitely in one direction. Unlike a line segment, a ray has no endpoint on the side it extends towards.

5. A Line Segment is defined as:

A straight path in a plane, extending in both directions with no endpints.

A part of a line; it begins at one endpoint and extends forever in one direction.

A part of a line between two endpoints.

The correct answer is "a part of a line between two endpoints." This definition accurately describes a line segment, which is a portion of a line that has two distinct endpoints. Unlike a line, which extends infinitely in both directions, a line segment has a finite length and is bounded by its two endpoints.

Explanation

The correct answer is "a part of a line between two endpoints." This definition accurately describes a line segment, which is a portion of a line that has two distinct endpoints. Unlike a line, which extends infinitely in both directions, a line segment has a finite length and is bounded by its two endpoints.