Basic Mathematics for College Students

(Nandana) #1

  1. Consider the acute angle shown below.


a. What two rays are the sides of the angle?
b. What point is the vertex of the angle?
c. Name the angle in four ways.


  1. Estimate the measure of each angle. Do not use a
    protractor.


a. b.

c. d.


  1. Draw an example of each type of angle.


a. an acute angle b. an obtuse angle

c. a right angle d. a straight angle


  1. Fill in the blanks with the correct symbol.


a. If , then.

b. If , then.


  1. a. Draw a pair of adjacent angles. Label them
    and.


b. Draw two intersecting lines. Label them lines l 1 and
l 2. Label one pair of vertical angles that are formed
as and.

c. Draw two adjacent complementary angles.

d. Draw two adjacent supplementary angles.

 1  2


CBD


ABC


ABC  DEF m(ABC) m(DEF)

m(AB)m(CD) AB CD

T

R

1 S


  1. Fill in the blank:
    If , then.

  2. Fill in the blank:
    The vertical angle property: Vertical angles are
    .

  3. Refer to the figure below. Fill in the blanks.
    a. and are vertical angles.
    b. and are angles.
    c. and are angles.

  4. Refer to the figure below and tell whether each
    statement is true.
    a. and are vertical angles.
    b. and are adjacent angles.
    c..
    d..

  5. Refer to the figure below and tell whether the angles
    are congruent.
    a. and b. and
    c. and d. and


Refer to the figure above and tell whether each statement is true.


  1. and are adjacent angles.

  2. and are supplementary.

  3. and are complementary.

  4. AGFand are complementary. 2


AGB BGC


FGA AGC


 1 CGD


F

E

D

C
B

A

G

1

2

AGF FGE CGD CGB


 1  2 FGB CGE


D

B

F C

A

E

G

AGC  DGF


m(AGB)m(BGC)

FGE BGA


AGF BGC


X

V

Z

W

Y

ZYW XYV


XYZ ZYW


XYZ 


MNO  BFG m(MNO) m(BFG)

9.1 Basic Geometric Figures; Angles 721
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