ANGLES FORMED BY PARALLEL LINES CUT BY A TRANSVERSAL.ppt

GRADE 9

1. ANGLES FORMED BY
PARALLEL LINES CUT BY A
TRANSVERSAL
PREPARED BY: MATHEW B. ESPARRAGO

2. Motivation: REMEMBERING
Let’s play a game! This game is called GUESS ME UP.
Theteacherisgoingtopresentdifferentfiguresonthe
boardandyouaregoingtoguesswhatthefigureis.
Therewillbeblankspacesprovidedbesideeachfigure.
Theteacherwillgivethedescriptionordefinitiononthe
followingfigures.

3. THREE(3) UNDEFINED TERMS IN GEOMETRY
_____isafixedlocationinspace.Ithasno
length,widthandthickness.Itisrepresentedbyadot.
Itisnamedbyacapitalletter.
_ _ _ _ is a set of an infinite number of points extending
indefinitely in opposite direction. it is named by two capital
letters or by using a single lowercase script letter.
_ _ _ _ _ is represented by any flat surface and the
points on it extend indefinitely in all directions. It has length
and width but no thickness. It is named by three non-collinear
points on the plane or a single upper case script letter

4. Subsets of a Line
_ _ _ is a subset of a line contains infinite set of
points starting at a definite point and going infinitely
in one direction.
_ _ _ _ _ _ _ is a subset of a line with two distinct
endpoints. It has definite length; hence, it can be
measured. It is named by its end points.

5. OTHER FIGURES
_ _ _ _ _ is the union of two non-collinear rays which
intersect at their endpoints. The common endpoint
is called the vertex, while the rays are referred to as
the sides of the angle.
_ _ _ _ _ _ _ _ _ _ _ _ _ are straight lines which
lie on the same plane and do not intersect however far
they are extended.
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ are lines or rays
or segments that meet at right angles.

6. Putting It All Together

7. PAIRS OF ANGLES FORMED BY
PARALLEL LINES CUT BY A
TRANSVERSAL
ALTERNATE INTERIORANGLES–twonon-adjacent
interioranglesontheoppositesidesofthetransversal.
ALTERNATE EXTERIORANGLES–twonon-adjacent
exterioranglesontheoppositesidesofthetransversal.
CONSECUTIVE INTERIORANGLES–(sometimescalled
assame-sideinteriorangles)twointerioranglesonthe
samesideoftransversal.
CONSECUTIVE EXTERIORANGLES–(sometimescalled
assame-sideexteriorangles)twoexterioranglesonthe
samesideoftransversal.
CORRESPONDING ANGLES–apairofnon-adjacent
angles,oneexteriorandoneinterior,bothonthesameside
ofthetransversal.

8. PAIRS OF ANGLES FORMED BY
PARALLEL LINES CUT BY A
TRANSVERSAL

9. ASSESSMENT
Part I. In the figure, identify the pairs of angles as
consecutive interior, consecutive exterior, alternate interior,
alternate exterior or corresponding.

10. ASSESSMENT
Part II.Evaluation: Use the figure to do the following:
1. Four pairs of corresponding angles.
2. Two pairs of alternate exterior
angles.
3. Two pairs of alternate interior angles.
4. Two pairs of interior angles on the
same side of the transversal.
5. Two pairs of exterior angles on the same side of the
transversal.

11. ASSIGNMENT

12. THANK YOU!