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 x + 2 = 12, then x =10.
P. Write the converse of the conditional.
If two segments are both 4 units long, then the segments 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 k = m and k + w = 12, then _________________________
P. Name the justification (property) for the following statement.
AB = AB _________________________.
A. Name the justification for the following statement.
If s = r and r = t, then s = t.
_________________________
Section 4: Proving Angles Congruent –
B. Use the diagram above to find the measure of <BOE
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 = 3x +12 and m<B = 2x – 22.
A. If the complement of <D is 39, 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. A statement that you can prove true.
____ Truth Value
D. “if” part of the sentence
____ Converse
E. If a = b, then b = a
____ Symmetric Property
F. if-then statement
____ Theorem
G. a conditional statement with the
hypothesis and conclusion switched.