Grade 7 Q4-Angle Pairs (2) lesson power point

Q4-W3-Angle Pairs (2).pdf

1. Let's just wait for your other classmates to join.
While waiting, please be ready with your class
materials such as notebook, pen and scratch
paper.
GOOD AFTERNOON! ☺

2. Let's just wait for your other classmates to
join. While waiting, please be ready with your
class materials.
PRAYER

3. 4
th
QUARTER
MATHEMATICS 7

4. •Classify the different kinds of angles.
•Derive relationships of geometric figures
using measurements and by inductive
reasoning.
Objectives

5. Angles
MATHEMATICS 7

6. Refer to the given figure. Measure and classify each indicated
angle.
RECALL:
a) ∠���

b) ∠��??????

c) ∠��S

7. Congruent angles are angles that have the same
measure.
Angles

8. An angle bisector divides an angle into two
congruent angles.
Angles

9. Try this out!
Name each angle bisector and all congruent angles in the figure.

10. Try this out!
Name each angle bisector and all congruent angles in the figure.

11. Try this out!
Name each angle bisector and all congruent angles in the figure.

12. Angle Pairs
Adjacent angles are angles on the same plane that
have a common side and a common vertex but no
common interior points.
∠ABD and ∠DBC are adjacent angles with B as their
common vertex and ray BD as their common side.

13. Angle Pairs
Complementary angles are two angles whose
measures have a sum of 90.

14. Try this out!
Find the measure of the complement of the given angle.
1.50
2. 45
3. 23
4. 75
5. 1

15. Angle Pairs
Supplementary
angles are two
angles whose
measures have
sum of 180.

16. Try this out!
Find the measure of the supplement of the given angle.
1.100
2. 80
3. 33
4. 75
5. 121

17. Angle Pairs
A linear pair consists of two adjacent angles
whose non common sides are opposite rays.

18. Angle Pairs
Vertical angles are two non-adjacent angles
formed by two intersecting lines.

19. Try this out!
Find the measures of all vertical angles in the given figure.
1.If m ∠1 = 75, what is m ∠2?
2.If m ∠3 = 100, what is m ∠4?
3.If m ∠4 = 53, what is m ∠3?
4.If m ∠2 = 90, what is m ∠1?
5.If m ∠1 = 80, what is m ∠4?

20. Lines
When two lines intersect to form right angles, the
two lines are said to be perpendicular to each other.
Perpendicular Lines

21. Lines
Parallel lines are lines that do not intersect no
matter how far they are extended.
Parallel Lines

22. Try this out!
In the figure below, name each indicated angle pair.
1.Complementary angles
2.Adjacent angles
3.Supplementary angles
4.Linear pairs
5.Vertical angles

23. Learning Activity Sheet no. 3
I. Write always, sometimes, or never in each blank to complete
each statement.
1. Angles complementary to the same angle or to congruent
angles are _____________________ congruent.
2. Two right angles are ______________________ congruent.
3. Two congruent angles are ________________________ right.
4. Angles supplementary to the same angle or congruent angles
are ___________________ congruent.
5. Two complementary angles ____________________ form a right
angle.
6. Two angles that form a right angle are _____________________
complementary.
7. Two vertical angles are ________________________ nonadjacent.

24. Learning Activity Sheet no. 3
II. Refer to the given figure and identify whether the following pairs
of angles are adjacent angles, linear pairs, complementary
angles, supplementary angles or vertical angles.
1.∠��� and ∠���

2. ∠��� and ∠���

3. ∠��� and ∠���

4. ∠��� and ∠���

5. ∠��� and ∠���