Vertical angles

Two angles are vertical if and only if they are non-adjacent formed by two intersecting lines.

1. Vertical Angles Elton John B. Embodo

2. Statement of the Aim Find the value of any angle given the pairs of vertical angles; Analyze statement about vertical angles; Give reasons about statements involving vertical angles

3. Do the following in your group. 1. Draw a line in your bond paper and name it as . 2. Draw another line intersecting the line and name it as . 3. Name the intersection as Point E. 4. List the angles formed by two intersecting lines. 5. What are the nonadjacent angles?

4. Angles which are formed by intersecting lines

5. Vertical Angles Two angles are vertical if and only if they are nonadjacent angles formed by two intersecting lines. and Are vertical angles and are vertical angles

6. The Vertical Angles Theorem Vertical angles are congruent. and are congruent. and are congruent

7. Directions: Analyze each following statement involving vertical angles whether each statement is true or false. Write EJ if the statement is true otherwise write EB. Vertical angles are two nonadjacent angles formed by a pair of intersecting lines. Two angles are vertical angles if their sides form two pairs opposite rays. When two lines intersect, they form four pairs of vertical angles. Sometimes the total measures of vertical angles is 180 degrees. Vertical angles have common ray but don’t have common vertex.

8. Assignment Directions: Give the reasons on the following statements involving vertical angles. Give one reason on each statement. Use ½ sheet of paper . In the figure at the right, it is given that . Why is ? Why is ? Why is ? Why is ? Why is ?