Understanding Angles and Rays

What is a ray in geometry?

• A line segment with a fixed length

• A line with two endpoints

• A part of a line with one endpoint extending infinitely in one direction

• A closed figure with three sides

How are opposite rays defined?

• Two rays that share a common endpoint and extend in opposite directions

• Two rays that are parallel to each other

• Two rays that form a right angle

• Two rays that start from different points

Which of the following is NOT a way to name an angle?

• Using a single letter at the vertex

• Using three points with the vertex in the middle

• Using a number inside the angle

• Using two points on the rays

What type of angle is formed when two rays meet at a 90-degree angle?

• Acute angle

• Obtuse angle

• Straight angle

• Right angle

Which angle is considered obtuse?

• An angle greater than 90 degrees but less than 180 degrees

• An angle less than 90 degrees

• An angle equal to 180 degrees

• An angle equal to 90 degrees

What does it mean for two angles to be congruent?

• They are complementary

• They form a straight line

• They are adjacent to each other

• They have the same measure

How can you identify congruent angles in a diagram?

• By their color

• By the markings or arcs inside the angles

• By their position in the diagram

• By their size

What is an angle bisector?

• A line that divides an angle into two unequal parts

• A ray that divides an angle into two congruent angles

• A segment that connects two points on a circle

• A line that is perpendicular to a segment

If an angle bisector divides an angle of 88 degrees, what is the measure of each resulting angle?

• 44 degrees

• 88 degrees

• 66 degrees

• 22 degrees

In a problem involving angle bisectors, if one angle is expressed as 3x + 13 and the other as 5x - 7, what is the value of x?

• 20

• 15

• 5

• 10