What is alternate interior angles with example?
When two lines are crossed by another line (called the Transversal): Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Interior Angles: c and f.
What are alternate angles?
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.
How do you construct alternate interior angles?
The alternate interior angles theorem states that the alternate interior angles of two parallel lines with a transversal are congruent. So, in order to create a parallel line, first draw a transversal through the given point p and the given line to create an angle. Placing the compass end at the vertex of the angle, swing an arc through the angle.
What are examples of consecutive interior angles?
Consecutive Interior Angles. When two lines are crossed by another line (called the Transversal): The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles. In this example, these are Consecutive Interior Angles: d and f.
What are facts about alternate exterior angles?
Alternate exterior angles are congruent if the lines crossed by the transversal are parallel.
What is the formula for alternate exterior angles?
One way to easily find the alternate exterior angles is that they are the vertical angles of the alternate interior angles. Alternate exterior angles are equal to one another. In the figure given above, angles 2 and 8 are alternate exterior angles. Angles 1 and 7 are also alternate exterior angles. Therefore, L2 = L8 and L1 = L7.