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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.