Download Angles formed with a Transversal

Angles formed with a Transversal
September 21, 2010
Angles formed with a Transversal
Objective:
• Students will be able to recognize a transversal
line.
• Students will be able to identify interior, exterior,
consecutive and corresponding angles.
Angles that form with a Transversal
• Parallel Lines – lines that never intersect.
• Perpendicular Lines – lines that intersect at a
90 degrees angle.
Angles formed with a Transversal
• Transversal – a line that intersects two parallel
lines to form eight angles.
Angles formed with a Transversal
• Alternate Exterior Angles – Pairs of angles that
lie outside the parallel lines on opposite sides
of the transversal.
• Alternate Interior Angles – Pairs of angles that
lie between the parallel lines on opposite
sides of the transversal.
Angles formed with a Transversal
• Consecutive Interior Angles – Pairs of angles
that lie between the parallel lines on the same
side of the transversal.
• Corresponding Angles – Pairs of angles that
appear in corresponding positions in the two
sets of angles formed by parallel lines.
Angles formed with a Transversal
• Vertical Angles – Can you find these in the
diagram as well?
Angles formed with a Transversal
• At your tables, get a blank sheet of paper.
Draw this diagram:
Now label a pair of each type of angle:
Angles formed with a Transversal
• Rule 1: Alternate exterior angles are
congruent (Angle have equal measure).
• Rule 2: Alternate interior angles are
congruent.
• Rule 3: Corresponding angles are congruent.
• Rule 4: Consecutive interior angles (same
side) are supplementary.