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ANGLES FORMED BY
PARALLEL LINES CUT BY A
TRANSVERSAL
PREPARED BY: MATHEW B. ESPARRAGO
Motivation: REMEMBERING
 Let’s play a game! This game is called GUESS ME UP.
The teacher is going to present different figures on the
board and you are going to guess what the figure is.
There will be blank spaces provided beside each figure.
The teacher will give the description or definition on the
following figures.
THREE(3) UNDEFINED TERMS IN GEOMETRY
 _ _ _ _ _ is a fixed location in space. It has no
length, width and thickness. It is represented by a dot.
It is named by a capital letter.
 _ _ _ _ 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
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.
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.
Putting It All Together
PAIRS OF ANGLES FORMED BY
PARALLEL LINES CUT BY A
TRANSVERSAL
 ALTERNATE INTERIOR ANGLES – two non-adjacent
interior angles on the opposite sides of the transversal.
 ALTERNATE EXTERIOR ANGLES – two non-adjacent
exterior angles on the opposite sides of the transversal.
 CONSECUTIVE INTERIOR ANGLES – (sometimes called
as same-side interior angles) two interior angles on the
same side of transversal.
 CONSECUTIVE EXTERIOR ANGLES – (sometimes called
as same-side exterior angles) two exterior angles on the
same side of transversal.
 CORRESPONDING ANGLES – a pair of non-adjacent
angles, one exterior and one interior, both on the same side
of the transversal.
PAIRS OF ANGLES FORMED BY
PARALLEL LINES CUT BY A
TRANSVERSAL
ASSESSMENT
 Part I. In the figure, identify the pairs of angles as
consecutive interior, consecutive exterior, alternate interior,
alternate exterior or corresponding.
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.
ASSIGNMENT
THANK YOU!

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ANGLES FORMED BY PARALLEL LINES CUT BY A TRANSVERSAL.ppt

  • 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. The teacher is going to present different figures on the board and you are going to guess what the figure is. There will be blank spaces provided beside each figure. The teacher will give the description or definition on the following figures.
  • 3. THREE(3) UNDEFINED TERMS IN GEOMETRY  _ _ _ _ _ is a fixed location in space. It has no length, width and thickness. It is represented by a dot. It is named by a capital letter.  _ _ _ _ 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 INTERIOR ANGLES – two non-adjacent interior angles on the opposite sides of the transversal.  ALTERNATE EXTERIOR ANGLES – two non-adjacent exterior angles on the opposite sides of the transversal.  CONSECUTIVE INTERIOR ANGLES – (sometimes called as same-side interior angles) two interior angles on the same side of transversal.  CONSECUTIVE EXTERIOR ANGLES – (sometimes called as same-side exterior angles) two exterior angles on the same side of transversal.  CORRESPONDING ANGLES – a pair of non-adjacent angles, one exterior and one interior, both on the same side of the transversal.
  • 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.