Geometry Quiz

Fill in the blank with the word or words.

(a)   : a line extending from a single point.

Answer explanation

A ray is defined as a line that starts at a single point and extends infinitely in one direction. Therefore, the correct term to fill in the blank is 'Ray'.

Angle: is the joining of ______________rays at a common endpoint called a _____________.

• two

• vertex

Answer explanation

An angle is formed by the joining of two rays at a common endpoint, which is called the vertex. Therefore, the correct answers are 'two' for the rays and 'vertex' for the common endpoint.

Greek Letter (Alpha__________, Beta__________, Theta__________): used to represent __________________.

• α

• β

• θ

• angles

Answer explanation

The Greek letters α (Alpha), β (Beta), and θ (Theta) are commonly used to represent angles in mathematics and physics, making them essential symbols in trigonometry and geometry.

(a)   Angle: 180^"◦" " " angle

Answer explanation

A straight angle measures exactly 180° and is formed when two rays point in opposite directions. Therefore, the correct answer is 'Straight'.

Right Angle: (a)   " " angle

Answer explanation

A right angle measures exactly 90 degrees. Therefore, the correct answer to fill in the blank is '90^◦', which represents a right angle.

Complementary Angles: (a)   angles that sum up to 90^"◦" " ".

Answer explanation

Complementary angles are defined as two angles that sum up to 90°; therefore, the correct answer is 'two'. The answer '0' is incorrect as it does not represent any angles.

__________________Angles: Two angles that sum up to ______________" ."

• Supplementary

• 180

Answer explanation

Supplementary angles are defined as two angles that sum up to 180 degrees. Therefore, the correct choices are 'Supplementary' for the type of angles and '180' for their sum.

_______________ Angle: An angle greater than__________" " but less than 90^"◦" " ".

• Acute

• 0

Answer explanation

An acute angle is defined as an angle that is greater than 0° but less than 90°. Therefore, the correct answer is 'Acute' for the angle greater than 0° and less than 90°.

______________ Angle: An angle greater than 90^"◦" " " but less than ___________" ."

• Obtuse

• 180

Answer explanation

An obtuse angle is defined as an angle that is greater than 90° but less than 180°. Therefore, the correct answers are 'Obtuse' for the first blank and '180' for the second blank.

Degrees/minutes/seconds Minutes: Each degree divided by ¬ (a)   smaller parts will be minutes.

Answer explanation

Each degree is divided into 60 smaller parts called minutes. Therefore, the blank should be filled with 60, indicating that there are 60 minutes in a degree.