Name: ________________________________________________ Period: ______________
Integrated II – Chapter 7 Quiz (7.1 – 7.4)
1. Graph each conjunction or disjunction on a coordinate plane:
a) 𝑦 ≥ 2𝑥 or 𝑦 ≤ 𝑥 + 2
b) 𝑥 ≥ 2 and 𝑦 < −2
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2. Graph the disjunction 𝑥 > −3 and 𝑥 ≤ −1 on a number line:
3. Use the Venn Diagram below and match a letter with each statement:
Students at RMHS
A
Students
in Level II
D
C
B
Students
in ICPE
a) Sue is taking Choir, Level II Math, and Consumer Family studies this year. ____________
b) Russ is taking ICPE, Woodworking, and Level II Math this year. ______________
2
3
4
5
6
Name: ________________________________________________ Period: ______________
4. Every kite has two pairs of consecutive sides that are equal in measure.
a. Write the statement in if-then form. Tell if the statement is true or false:
b. Write the converse of the statement. Tell whether the converse is true or false.
5. Decide if each argument is valid or invalid. Explain.
a. If a figure is a rhombus, then it is a parallelogram
A figure is a rhombus. Therefore, a figure is parallelogram.
b. If today is a holiday, then we do not have school.
Today is not a holiday. Therefore, we do not have school.
6. What conclusion can you reach when both premises are true? Tell which rule of logic you used to reach that
conclusion:
Figure ABCD is a trapezoid or figure ABCD is a parallelogram.
Figure ABCD is not a trapezoid.
7. Can the following statement be written as a true biconditional? If the answer is yes, rewrite the statement as a
biconditional. (Hint: What is the if-then statement? What is its converse?)
Two line segments that are congruent are equal in length.