The document explains the different types of angles formed by transversals intersecting two or more coplanar lines, including corresponding angles, alternate interior angles, alternate exterior angles, same-side interior angles, and same-side exterior angles. It provides definitions and pairs of angles for each category, accompanied by diagrammatic references. Additionally, it includes exercises for identifying and describing the relationships between various angle pairs.

1. ÅNGLES FORMED BY TRANSVERSALS
A.R. Torreliza
Quarter 3 SY 2023-2024

2. TRANSVERSAL
A transversal is a line that intersects two
or more coplanar lines at different points.
In the diagram below, line t is the
transversal.

3. SPECIAL ANGLES FORMED BY A
TRANVERSAL
The angles formed by two lines and a transversal
have special names:
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Same-Side Interior Angles
Same-side Exterior Angles

4. CORRESPONDING ANGLES
o Two angles are corresponding angles if they
occupy corresponding positions.
∠1 and ∠5
∠3 and ∠7
∠2 and ∠6
∠4 and ∠8

5. ALTERNATE INTERIOR ANGLES
o Two angles are alternate interior angles if
they lie between the two lines on opposite
sides of the transversal.
The following pairs of angles are
alternate interior angles:
∠3 and ∠6
∠4 and ∠5

6. ALTERNATE EXTERIOR ANGLES
o Two angles are alternate exterior angles if
they lie outside of the two lines on opposite sides
of the transversal.
The following pairs of angles are
alternate exterior angles:
∠1 and ∠8
∠2 and ∠7

7. SAME-SIDE INTERIOR ANGLES
o Two angles are same-side interior angles
if they lie between the two lines on the
same side of the transversal.
The following pairs of angles are same-
side interior angles:
∠3 and ∠5
∠4 and ∠6

8. SAME-SIDE EXTERIORANGLES
o Two angles are same-side exterior angles
if they lie outside the 2 intersected lines of the
transversal.
The following pairs of angles are same-
side exterior angles:
∠1 and ∠8
∠2 and ∠7

9. Describe Angles Formed by Transversals
Describe the relationship between the angles.
a. ∠1 and ∠2 b. ∠3 and ∠4
SOLUTION
a. alternate interior angles
b. alternate exterior angles.
c. same-side interior angles
c. ∠ 5 and ∠6

10. Identify Angles Formed by Transversals
List all pairs of angles that fit the
description.
a. corresponding
b. alternate exterior
c. alternate interior
d. same-side interior
SOLUTION
a. corresponding
∠1 and ∠5
∠3 and ∠7
∠2 and ∠6
∠4 and ∠8 Top view of cor

11. Identify Angles Formed by Transversals
b. Alternate exterior
∠1 and ∠8
∠6 and ∠3
c. Alternate interior
∠2 and ∠7
∠5 and ∠4
d. same-side interior
∠2 and ∠5
∠4 and ∠7

12. Describe Angles Formed by Transversals
Describe the relationship between the angles.
1. ∠2 and ∠7
ANSWER alternate exterior angles
2. ∠3 and ∠5
ANSWER same-side interior angles
3. ∠1 and ∠5
ANSWER corresponding angles

13. Describe Angles Formed by Transversals
Describe the relationship between the angles.
4. ∠4 and ∠5
ANSWER alternate interior angles
5. ∠4 and ∠8
ANSWER corresponding angles
6. ∠4 and ∠6
ANSWER same-side interior angles

14. When a diagram is shown, tell which
type of angle relationship is shown.

15. Alternate interior angles

16. Alternate exterior angles

17. Alternate interior angles

18. Same-side interior

19. Alternate interior angles

20. Corresponding angles