Download Geometry Unit 3 Review Pairs of Angles

Geometry Unit 3 Review Pairs of Angles
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. If
, then what are
,
a.
b.
____
? The diagram is not to scale.
,
,
c.
d.
,
2. How are the two angles related?
a. vertical
b. supplementary
____
and
c. complementary
d. adjacent
3. Name all pairs of vertical angles.
a.
and
;
and
c.
and
;
and
b.
and
;
and
d.
and
;
and
Numeric Response
4. Find the value of y.
Completion
Complete each statement.
5. Use the drawing below to answer the following questions. The angles do not need to have a measure to be
named in an answer.
1. Name a pair of congruent angles that are not vertical
2. Name a pair of adjacent angles
3. Name a pair of complementary angles
4. Name a pair of supplementary angles that are not a linear pair
5. Name a linear pair of angles
6. Name a pair of vertical angles
6. Stain glass window designer, Steve Smith has created the widow panels below. To be able to manufacture the
window he must find x and calculate the measures of all four angles. Help Steve out by finding x and then
the degree measures of all four of the shown angles.
7. A radiologist is tracking the growth of a tumor in a patient. The instrumentation allows the radiologist to
place an imaginary square around the area to be imaged. The doctor gives the radiologist the information in
the drawing below where
is the path of the ultrasound wave. Help the radiologist position the ultrasound
emitter correctly by finding x and
and
.
8. The design engineers working on the Ford Escape Hybrid needed to place the windshield at both an
aerodynamic and safe angle to the body of the SUV. Their design revealed the following linear pair. Find y
and the value of both angles.
.
9. The figure below is an illustration of a quilting pattern. The indicated angles are supplementary angles. What
is the value of n and the measure of the two angles?
10. Coach Golden is sailing to the Bahamas for a family vacation. At the Florida Keys he docks to stock up on
supplies for the remainder of the trip. The local mariners give him the chart below that shows the angles
formed from the Florida Keys and Cozumel, Mexico, Cuba and the Bahamas.
,
Find x and
º, and
and
.
so that he can navigate in the correct direction.