Year 9 Angles

Question 1

What is the sum of the angles in a triangle?

Answer 1

180 degrees

Question 2

True or False: An acute angle is greater than 90 degrees.

Answer 2

False

Question 3

What type of angle measures exactly 90 degrees?

Answer 3

Right angle

Question 4

Fill in the blank: An angle that measures less than 90 degrees is called a _____ angle.

Answer 4

acute

Question 5

True or False: A straight angle measures 180 degrees.

Answer 5

True

Question 6

What is a reflex angle?

Answer 6

An angle greater than 180 degrees and less than 360 degrees.

Question 7

What is the relationship between complementary angles?

Answer 7

Their sum is 90 degrees.

Question 8

What are supplementary angles?

Answer 8

Two angles whose sum is 180 degrees.

Question 9

How many degrees are in a full rotation?

Answer 9

360 degrees

Question 10

What do you call angles that are opposite each other when two lines intersect?

Answer 10

Vertical or opposite angles

Question 11

True or False: Vertical or opposite angles are always congruent.

Answer 11

True

Question 12

Fill in the blank: Two angles that add up to 90 degrees are called _____ angles.

Answer 12

complementary

Question 13

What is the measure of an obtuse angle?

Answer 13

Greater than 90 degrees and less than 180 degrees.

Question 14

What is the term for angles that share a common vertex and side but do not overlap?

Answer 14

Adjacent angles

Question 15

In a right triangle, what is the relationship between the angles?

Answer 15

One angle is 90 degrees, and the other two angles are acute.

Question 16

What is the formula for finding the measure of an exterior angle of a triangle?

Answer 16

It is equal to the sum of the two opposite interior angles.

Question 17

Fill in the blank: The angles in a quadrilateral add up to _____ degrees.

Answer 17

360

Question 18

What is a straight angle?

Answer 18

An angle that measures exactly 180 degrees.

Question 19

True or False: An angle that measures more than 180 degrees is called a reflex angle.

Answer 19

True

Question 20

What is the measure of an angle in a regular hexagon?

Answer 20

120 degrees

Question 21

Fill in the blank: An angle that measures exactly 0 degrees is called a _____ angle.

Answer 21

zero

Question 22

What is the definition of an angle bisector?

Answer 22

A line that divides an angle into two equal parts.

Question 23

What are alternate interior angles?

Answer 23

Angles that lie between two parallel lines and on opposite sides of a transversal.

Question 24

True or False: Corresponding angles are equal when two parallel lines are cut by a transversal.

Answer 24

True

Question 25

What is the angle formed between the hour and minute hands of a clock at 3:00?

Answer 25

90 degrees

Question 26

Fill in the blank: The angles in a pentagon add up to _____ degrees.

Answer 26

540

Question 27

What is a transversal?

Answer 27

A line that crosses at least two other lines.

Question 28

What is the measure of each angle in an equilateral triangle?

Answer 28

60 degrees

Question 29

What is the difference between acute and obtuse angles?

Answer 29

Acute angles are less than 90 degrees; obtuse angles are greater than 90 degrees.

Question 30

What is the measure of a right angle in degrees?

Answer 30

90 degrees

Question 31

Fill in the blank: A polygon with four sides is called a _____.

Answer 31

quadrilateral

Question 32

What is the formula for calculating the sum of interior angles of a polygon?

Answer 32

Sum = (n - 2) * 180, where n is the number of sides.

Question 33

True or False: All angles in a square are right angles.

Answer 33

True

Question 34

What do you call two angles that are on the same side of the transversal and inside the two lines?

Answer 34

Consecutive interior angles

Question 35

What is the measure of each angle in a square?

Answer 35

90 degrees

Question 36

Fill in the blank: The sum of the interior angles of a triangle is _____ degrees.

Answer 36

180

Question 37

What is the measure of a full rotation in radians?

Answer 37

2π radians