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Formal Geometry
Chapter 1 Exam
Name:________________
Section:________
Read all instructions. Answer each question carefully. Show all
work. Be awesome.
You may not share calculators with anyone or use a cell
phone.
Section 1: Vocabulary (1 point each)
Define the following using complete sentences. You may use your
own words.
1) conjecture
2) counterexample
3) coplanar
4) Linear Pair
5) Supplementary and Complementary angles
6) postulate (or axiom)
7) congruent
8) Perimeter
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Section 2: Sketches (3 points each)
9) Plot the points A(5,1), B(-1,-1) and C(8,-3).
Then sketch the angle ABC. Name a point on the interior,
exterior, and classify the angle as
Acute, Right, Obtuse, or Straight
10) Sketch three planes that do not intersect
11) Sketch 5 coplanar points, A, B, C, D and E. Draw line
segment BD intersecting line AC at point E.
12) Draw an acute angle RST. Construct an angle bisector of RST
and measure all angles created with a
protractor.
14) Draw the line segment . Construct a segment bisector of
.
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Section 3) Doing work (3 points each)
15) Calculate the midpoint M of line segment AB with endpoints
A(3,5) and B(19,7)
16) Calculate the distance between D(4,9) and E(7, 5)
17) Angles A and B are complementary. The measure of angle A is
23 degrees. What is the measure of
angle B?
18) Ray BD is the angle bisector to angle ABC.
The measure of angle ABD is 3x-6.
The measure of angle DBC is 8x-31
Find the value of x and the measure of each angle
19) R is in between T and Y
Y is in between R and S
T is in between R and W
WS=60
TY=20
TR=RY=YS
Sketch a diagram for the scenario and find the measure of the
following:
TR=
RY=
YS=
WT=
20) Calculate the value of the variable, then find the measure
of each angle.
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BONUS SECTION (1 point each)
21) Calculate the value of each variable, then find the measure
of each angle
22) The area of a circle is 5m. Find the circles radius and
circumference.
23) The area of a square is 59m. What is the length of each
side? What is the perimeter?
24) Find a counterexample to the following conjecture:
The product of two prime numbers is always an odd number.
25) Find the next number in the pattern:
4, 10, 28, 82,___
OBJECTIVES CHECKLIST
OBJECTIVE MASTERED?
Find and describe patterns
Use inductive reasoning
Use defined and undefined terms
Sketch intersections of lines and planes
Use segment postulates and the distance formulaUse angle
postulates and classify angles
Bisect a segment and bisect and angle
Identify vertical angles, linear pairs,
Complementary angles, supplementary angles
Find the perimeter, circumference, area of
common plane figures
Develop a general problem solving plan
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