Pairs of angles formed by parallel lines cut by a transversal
1. ________1. These linesdo not intersecteachother and they lieon the same
plane or coplanar lines.
________2. These lineslie on different planesor non-coplanar lines.
________3. It’s a linethatintersects/cuts two or more coplanar lines attwo or
more different points.
lraplalesinel
weks nisel
vansreltraslein
3. Statement of the Aim
• Identify the followingpairsof angles whether alternate
interior angles, alternateexterior angles or
correspondingangles;
• Name a pair of alternateinteriorangles, alternate
exterior angles and correspondinganglesbased on the
given figure;
• Measure the pairsof alternateinteriorangles, alternate
exterior angles and correspondingangles
4. Do the followinginyour group
1. Draw a horizontalline and labelas line l.
2. Draw another horizontal linebelow the linel and labelit
as line k.
3. Make sure that line l and line k are parallellines.
4. Draw a diagonalline or a transversalline, intersecting the
two parallel lines,then labelthe transversalline as line t.
5. Name the points of intersectionsas pointX and Y.
7. Pairsof Angles formed by Parallellines Cut by aTransversal
Alternate interiorangles–are two non-adjacentinterior angleson the
opposite sides of the transversal.
Ex: and
and
Alternate exterior angles–are two non-adjacentexterior angles on the
opposite sides of the transversal.
Ex: and
and
Corresponding angles–are two non-adjacentangles, one interior and
one exterioron thesame side of the transversal
Ex: and , and , and , and3
6
4
5
1
82
7
1
3
7
5
2 6 4 8
8. Directions: Name all pairs of alternateinteriorangles, alternate
exteriors angles and corresponding angles based on thefigure
below.
1t
2t
u v
A B
C D E F
G H
I J
K L
M N
O P
9. Assignment
Draw a parallel lines cut by a transversal and use a protractor to
measure thefollowing:
• Alternate interior angles
• Alternate exterior angles
• Corresponding angles.