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Transcript 
What’s Your Angle?
Background Vocabulary
•
•
•
Plane: an infinite, flat surface.
Parallel lines: lines in a plane that
never meet. l l is the symbol for
parallel lines.
Transversals: lines that intersect
two or more parallel lines.
More Vocabulary
1.
Congruent angles: two
angles that have equal
measures.
2. Ray: part of a line that
has an endpoint and
extends forever.
3. Angles: two rays with a
common endpoint.
Types of Angles
Acute : angles
that measure
less that 90°.
Right: angles
that measure
90°.
Obtuse: angles
that measure
more than 90°
and less than
180°
Straight: angles
that measure
180°.
Complementary Angle
Two angles whose
measure add up
to 90°.
45°
45°
Supplementary Angles
Two angles whose
measures add up
to 180°.
90°
90°
Congruent Angles
When a transversal
intersects two parallel
lines, eight angles are
formed.
1.
2.
3. 4.
5.
6.
7.
8.
Alternate Interior
Angles
1.
2.
3. 4.
5. 6.
7. 8.
Angle 3 and Angle 6
are congruent
angles. This means
they have the same
measure.
Alternate Interior
Angles
1.
2.
3. 4.
5.
6.
7. 8.
Angle 4 and Angle
5 are congruent
angles.
The measure of angle 4 and the
measure of angle 6 are congruent
AND
The measure of angle 3 and the
measure of angle 5 are congruent.
NOTE
Alternate Interior
Angles are on
“alternate” sides
and on the
“interior” of the
parallel lines.
Vertical Angles
1.
2.
3.
4.
5.
6.
7. 8.
Angle 1 and Angle 4
are congruent angles.
Vertical Angles
1.
2.
3. 4.
5.
6.
7. 8.
Angle 2 and Angle 3
are congruent angles.
Vertical Angles
1.
2.
3. 4.
5.
6.
7. 8.
Angle 5 and Angle 8
are congruent angles.
Vertical Angles
1.
2.
3. 4.
5. 6.
7. 8.
Angle 6 and Angle 7
are congruent angles.
The measures
congruent.
The measures
congruent.
The measures
congruent.
The measures
congruent.
of Angle 1 and Angle 3 are
of Angle 2 and Angle 4 are
of Angle 5 and Angle 7 are
of Angle 6 and Angle 8 are
NOTE
Vertical Angles
are diagonally
across from
each other.
Corresponding Angles
These angles are a bit trickier.
You have to imagine cutting
your diagram apart, and then
pasting one part on top of the
other.
Corresponding Angles
1. 2.
3. 4.
5. 6.
7. 8.
Angle 1 and Angle 5
are congruent angels.
Corresponding Angles
1.
2.
3. 4.
5. 6.
7. 8.
Angle 2 and Angle
6 are congruent.
Corresponding Angles
1.
2.
3. 4.
5. 6.
7. 8.
Angle 3 and Angle 7
are congruent angles.
Corresponding Angles
1.
2.
3. 4.
5. 6.
7. 8.
Angle 4 and Angle
8 are congruent
angles.
Angle 1 and Angle 5 are congruent.
Angle 2 and Angle 6 are congruent.
Angle 3 and Angle 7 are congruent.
Angle 4 and Angle 8 are congruent.
Demonstrate Your
Knowledge
Now that you’ve seen what is
congruent, you can take the
measurement of “1” angle and figure
out the others. Let’s try it!
Angle 2 measures 110°. What do
the other angles measure?
1.
2.
3. 4.
5. 6.
7. 8.
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