Cards For Geometry

1. What are vertical angles?

Vertical angles are parallel lines intersected by a transversal.

Vertical angles are always acute angles.

A pair of angles is said to be vertical if the angles are adjacent to each other.

A pair of angles is said to be vertical if the angles share the same vertex and are bounded by the same pair of lines but are opposite to each other. Such angles are congruent and thus have equal measure

2. What is an acute angle?

A straight angle is an angle measuring exactly 180 degrees.

An acute angle is an angle measuring between 0 and 90 degrees.

A reflex angle is an angle measuring between 180 and 360 degrees.

An obtuse angle is an angle measuring between 90 and 180 degrees.

An acute angle is one that is less than 90 degrees, a straight angle is exactly 180 degrees, an obtuse angle is between 90 and 180 degrees, and a reflex angle is between 180 and 360 degrees.

Explanation

An acute angle is one that is less than 90 degrees, a straight angle is exactly 180 degrees, an obtuse angle is between 90 and 180 degrees, and a reflex angle is between 180 and 360 degrees.

3. What is a right angle?

A right angle is an angle measuring 45 degrees.

A right angle is an angle measuring 180 degrees.

A right angle is an angle measuring 60 degrees.

A right angle is an angle measuring 90 degrees. Two lines or line segments that meet at a right angle are said to be perpendicular. Note that any two right angles are supplementary angles (a right angle is its own angle supplement).

A right angle is defined as an angle measuring 90 degrees where two lines or line segments meet perpendicular to each other. This specific measurement distinguishes it from other types of angles, making options 1, 2, and 3 incorrect.

Explanation

A right angle is defined as an angle measuring 90 degrees where two lines or line segments meet perpendicular to each other. This specific measurement distinguishes it from other types of angles, making options 1, 2, and 3 incorrect.

4. How would you define an obtuse angle?

An obtuse angle is an angle measuring more than 180 degrees.

An obtuse angle is an angle measuring between 90 and 180 degrees.

An obtuse angle is an angle measuring exactly 90 degrees.

An obtuse angle is an angle measuring less than 90 degrees.

An obtuse angle is any angle that is greater than 90 degrees but less than 180 degrees. This means it is more 'open' than a right angle, but not a straight angle or reflex angle.

Explanation

An obtuse angle is any angle that is greater than 90 degrees but less than 180 degrees. This means it is more 'open' than a right angle, but not a straight angle or reflex angle.

5. What is a characteristic of congruent angles?

They must point in the same direction and be on similar sized lines.

They must add up to 90 degrees.

They don't have to point in the same direction.They don't have to be on similar sized lines.

They must be located on perpendicular lines.

Congruent angles only require that they have the same measure, regardless of their orientation or position.

Explanation

Congruent angles only require that they have the same measure, regardless of their orientation or position.