What is an example of lines that are a linear pair

The video tutorial explains the concept of opposite rays, which are two rays sharing the same endpoint and are colinear, forming a line. It further explores linear pairs, which are adjacent angles on a line, and provides examples and nonexamples to illustrate these concepts. The tutorial emphasizes understanding the properties of opposite rays and linear pairs through practical examples.

What is a ray?

• A line that extends in both directions infinitely

• A closed loop with no endpoints

• A line segment with two endpoints

• A line that extends from a point in one direction

What are opposite rays?

• Two rays that start from different points

• Two rays that are parallel to each other

• Two rays that form a right angle

• Two rays that share the same endpoint and are colinear

What defines a linear pair of angles?

• Two angles that are adjacent and form a straight line

• Two angles that are opposite and equal

• Two angles that are supplementary

• Two angles that are complementary

In the given example, why are angle 1 and angle 2 considered a linear pair?

• They are both obtuse angles

• They are both acute angles

• They share a common vertex and a line, and their other sides are opposite rays

• They share a common vertex and are equal

Why is the second example not a linear pair?

• The angles do not share a common vertex

• The angles do not share a common side

• The other sides of the angles do not form opposite rays

• The angles are not equal