Transcript Chapter 3 Practice Test

Geometry Angle Vocabulary
Review – Chapter 1
Name and ID parts of angles
A
B
C
F
D
E
1. Name an angle in different
ways.
2. ID the vertex of an angle.
3. ID the sides of an angle.
4. ID points as being on the
angle, interior of the angle
or exterior of the angle.
5. ID adjacent angles
6. ID nonadjacent angles
7. ID a linear pair
Measure and Draw with a protractor
8. Draw an angle that
measures 75
degrees.
Find measures of angles
9. Find the m < FEH if
m < FEG = 52 and
m < GEH = 31.
10. If ray EH bisects < IEF
and m < HEF = 57, find
the measure of < HEI
F
G
E
H
I
11.If m < GEI = 90 and m <
HEI is 42, find m < GEH.
Classify Angles
•
•
•
•
Acute
Obtuse
Right
Straight
14.
12.
13.
15.
Complementary Angles
• Two angles whose sum is
90 degrees.
• The two angles may be
adjacent but they can
also be next to each
other.
• Two complementary
angles bisected will
always create two 45
degree acute angles.
• Two complementary
angles will each always
be acute.
28
62
Complementary Angle Examples
15. If angle C is 43 degrees, find the measure of
its complement.
16. Angles 1 and 2 are complementary. If m<1 =
3x + 2 and m<2 = 2x + 3, find the value of x
and the measurement of each angle.
Supplementary Angles
32
148
• Two and only two angles
whose sum is 180 degrees.
• Angles can be adjacent or
nonadjacent.
• Supplementary angles
bisected create two 90 degree
angles.
• Supplementary angles will
always be one acute and one
obtuse unless a bisection
occurs.
Supplementary Angle Examples
17. Angle K measures 152 degrees. Find its
supplement.
18. Angles J and K are supplementary.
Find the value for x and the measures of
the two angles if m<J = x and m<K = x 60.
Vertical Angles
• Two lines intersect in a single point.
• The intersection creates four angles.
• The angles that are nonadjacent are called
vertical angles and are congruent.
Vertical Angle Examples
19. Solve for x.
20. Solve for x.
125
(5x - 15)
x
(3x + 1)
Complementary and Supplementary
Extension Examples
21. Find the measure of an angle that is
complementary to angle B if
angle B = angle E and the measure of
angle E = 43 degrees.
22. If angle 1 is complementary to angle 3,
angle 2 is complementary to angle 3, and
the measure of angle 1 = 42, what are
the measures of angle 2 and 3?
23. If angle 2 = angle 3 and the measure of
angle 2 = 55, find the measure of an
angle that is supplementary to angle 3.
24. If angle RST is supplementary to angle
TSU, angle VSU is supplementary to
angle TSU, and the measure of angle
TSU = 62, find the measures of angles
RST and VSU.