Geometry
Name ____________________________________
Unit 2 Celebration of Knowledge “Quiz”
1. Write the (a) converse, and (b) decide whether the converse is true or false.
If George lives in Texas, then he lives in the United States.
T
or
F
2. Rewrite the following biconditional as two conditionals:
A quadrilateral is a rectangle if and only if it has four right angles.
3. Write the inverse of the following statement:
If Walter drives over the speed limit, then he is breaking the law.
4. Use the Law of Detachment to draw any possible conclusions. Write not possible if you cannot
draw any conclusions.
If an animal is a snake, then it is a reptile. “Gordon” is a reptile.
5. Use the Law of Syllogism to draw any possible conclusions (write a new conditional). Write
not possible if you cannot draw any conclusions.
If two angles are complementary, then the sum of their measures is 90.
If two angles have a sum of measure 90, then they are both acute angles.
6. Identify the pair of statements that forms a contradiction
I.
and
are acute angles.
II.
III.
and
are supplementary.
For Exercises 6–9, name the property that justifies each statement.
7. If
8. If
and
, then
, then
.
6. ________________________________
.
7. ________________________________
9. If mABC  mDEF , then mDEF  mABC .
8. ________________________________
10.
9. ________________________________
11. Use the diagram below to find the measure of each angle.
a.
________
b.
________
c.
________
d.
________
e.
________
f.
________
12. Find the value of the variable in the diagram.
13. Fill in the reason that justifies each step
Given: F is the midpoint of EG .
Statement
a. F is the midpoint of EG
b. EF = FG
c. 7x – 5 = 4x + 7
d. 3x – 5 = 7
e. 3x = 12
f. x = 4
7x – 5
E
4x + 7
F
G
Reason
a.__________________________________________
b.__________________________________________
c. __________________________________________
d. __________________________________________
e. __________________________________________
f. __________________________________________
14. Give a reason for each step.
Statement
Reason
Given
a. __________________________________________
b. __________________________________________
c. __________________________________________
For Exercises 15, find the value of x.
15.
16. A is one fifth the measure of its supplement B .
Find the measure of each angle.