Geometry
Chapter 2 Exam
Section: 5 points each (vocab
is worth 7 points)
Basic: 1 Correct: 3 points
Proficient: 2 Correct: 4 points
Advanced: 3 Correct: 6 points
Name____________________
Date ___________ Period ___
MUST SHOW ALL WORK FOR FULL CREDIT!
Section 1: Conditional Statements –
B. Identify the hypothesis (double underline) and the conclusion (single underline) of the
conditional.
If you like chocolate, then you like chocolate cake.
P. Write the converse of the conditional.
If two angles both are 23 degrees, then the angles are congruent.
A. Determine the truth value (true/false) of the original and the converse of the
conditional given in part P.
Original: ________
Converse: _______
Section 2: Reasoning in Algebra –(one point per line, 6 total)
Fill in the reason that justifies each step.
(not to scale!!!)
Given: AD is 78 units long.
AC = 4x CD = 2x+12, AD = 78
a. _______________________________________
AC + CD = AD
b. _______________________________________
4x + 2x + 12 = 78
c. _______________________________________
6x +12 = 78
d. _______________________________________
6x = 66
e. _______________________________________
x = 11
f. _______________________________________
Section 3: Reasoning in Algebra –
B. Use the given property to complete the statement.
Substitution Property
If a = b and r + b = 9, then _________________________
P. Name the justification (property) for the following statement.
DF = DF _________________________.
A. Name the justification for the following statement.
If s = y and s =j, then y = j.
_________________________
Section 4: Proving Angles Congruent –
B. Use the diagram above to find the measure of <DOF
P. Find the value of x.
A. Find the value of x.
Section 5: Proving Angles Congruent –
B. Solve for x.
P. Find the measure of <A described below.
<A and <B are supplementary. m<A = 2x +6 and m<B = 4x-9.
A. If the complement of <D is 27, then what is the measure of the supplement of <D?
Section 6: Vocabulary –
____ Conditional
A. “then” part of the sentence
____ Hypothesis
B. true or false answer to a conditional
statement
____ Conclusion
C. if-then statement
____ Truth Value
D. If a = b, then b = a
____ Converse
E. “if” part of the sentence
____ Symmetric Property
F. A statement that you can prove true.
____ Theorem
G. a conditional statement with the
hypothesis and conclusion switched.