Name ______________
Date ______________________
Unit 4 Review
1. Find a counterexample to show that the conjecture is false.
a. Conjecture: Two complementary angles are not congruent.
b. Conjecture: Three points on a plan always form a triangle.
c. Conjecture: All polygons contain at least one diagonal.
d. Conjecture: Any number divisible by 3 is also divisible by 9.
2. Write the converse, inverse, and contrapositive of the conditional statement.
Determine the truth value of each statement (True or False).
a. If two angles are acute, then they are congruent
Converse:
Inverse:
Contrapositive:
b. If segments are congruent, then they have equal measure.
Converse:
Inverse:
Contrapositive:
3. What does it mean to have opposite truth values?
Write the inverse of the conjecture: If two angles are a linear pair, then they are
supplementary.
Do these two statements have opposite truth values?
4. Write a valid conditional statement for the Venn Diagram.
a.
Texans
Houstonians
b.
Supplementary
Angles
Linear Pair
5. Make a conjecture about each pattern. Write the next two items.
a. 3, 9, 27, …
b. -1, 2, -4, 8, …
6. Draw a conclusion from the given information.
a. If two angles are supplementary, then their measures add to 180˚. Angle
A and angle B are supplementary.
b. If you live in Houston, then you live in Texas.
You live in Dallas.
7. Solve each equation. Write a justification for each step.
a. Steps
Justification
y+1 = 5
b. Steps
3n+25 = 9n – 5
Justification
8. Write a justification for each step, given that A and B are supplementary and
mA  45
Steps
1.
2.
3.
4.
Justifications