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1. Transversal
The line that interests two parallel lines.
Within a transversal there are five
different types of angles:
Draw this transversal in your notes
-
corresponding angles
vertical angles
adjacent angles
alternate interior angles
alternate exterior angles
2. Corresponding angles
Angles that are in the same position on
the parallel lines in relation to the
transversal. Their angles are congruent.
∠E and ∠A are
corresponding angles
List all other corresponding
angles in your notes
3. Vertical angles
Two angles that are opposite angles
and share a common vertex formed by
the intersection of two lines. Their
angles are congruent.
∠F and ∠C are
vertical angles
List all other vertical
angles in your notes
4. Alternate interior angles
Angles that are on opposite sides of
the transversal and inside the parallel
lines. Their angles are congruent.
∠C and ∠B are
alternate interior angles
List the other alternate
interior angles in your notes
5. Alternate exterior angles
Angles that are on opposite sides of
the transversal and outside the parallel
lines. Their angles are congruent.
∠E and ∠H are
alternate exterior angles
List the other alternate
exterior angles in your notes
6. Adjacent angles
Two angles that share a common
vertex and a common side.
∠A and ∠B are
adjacent angles
List all other adjacent
angles in your notes
7. Supplementary angles
The sum of two angles
measures 180°.
Draw the supplementary
angle and find the
missing angle
180 - 45 = 135°
8. Complementary angles
The sum of two angles
measures 90°.
Draw complementary
angle and find the
missing angle
90 - 13 = 77°
9. Acute angle
An angle that measures more
than 0°but less than 90°.
Draw an acute angle
in your notes and label
the degrees
51°
74°
10. Obtuse angle
An angle that measures more
than 90° but less than 180°.
Draw an obtuse angle
in your notes and label
the degrees
132°
101°
11. Reflex angle
An angle that measures more
than 180° but less than
360°.
Draw a reflex angle
in your notes and label
the degrees
334°
215°
12. Straight angle
An angle that measures
exactly 180°.
Draw a straight angle
in your notes and label
the degrees
180°
180°
13. Right angle
An angle that measures
exactly 90°.
Draw a right angle
in your notes and label
the degrees
14. Scalene triangle
No congruent sides.
Draw a scalene triangle
in your notes and label
the sides with
congruent segments.
15. Isosceles triangle
At least two congruent sides.
Draw a isosceles triangle
in your notes and label
the sides with
congruent segments.
16. Equilateral triangle
All sides are congruent.
Draw an equilateral triangle
in your notes and label
the sides with
congruent segments.
17. Equiangular triangle
All angles are congruent
within the triangle.
Draw an equiangular triangle
in your notes and label
the angles with
congruent segments.
18. Right triangle
One right angle within the
triangle.
Draw a right triangle
in your notes and label
the right angle.
19. Obtuse triangle
One obtuse angle within the
triangle.
Draw an obtuse triangle
in your notes.
20. Acute triangle
All angles are acute within
the triangle.
Draw an acute triangle
in your notes.
21. Triangle
A figure with three sides and
three angles. The sum of the
three angles is 180°.
△RST
40°
120°
20°
Draw a triangle in your
notebook. Label the
angles and vertices.
Name the triangle.
22. Complement
When two angles add up to 90°. To
find the complement of the angle,
subtract the given angle from 90°.
The complement of 43° angle is 47° because 90 - 43 = 47
In your notes answer the following question.
What is the complement of a 18° angle? Show your work.
23. Supplement
When two angles add up to 180°.
To find the supplement of the angle,
subtract the given angle from 180°.
The supplement of 81° angle is 99° because 180 - 81 = 99
In your notes answer the following question.
What is the supplement of a 123° angle? Show your work.
24. Naming an angle
There are multiple ways to name an
angle: Use the vertex as the middle
letter and a point from each side or use
the vertex only.
Draw this angle
and then name
this angle in your notes
∠ABC
∠CBA
∠B
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