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Unit 2 Review. STUDY!!!!!. Make a Conjecture about the next number in the following sequences…. 6, 9, 7, 10, 8… 1, 4, 16, 64, 256…. 33, 30, 27, 24,... 4, 6, 10, 12,. Identify the hypotheses and the conclusion of the statement.
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Unit 2 Review STUDY!!!!!
Make a Conjecture about the next number in the following sequences… • 6, 9, 7, 10, 8… • 1, 4, 16, 64, 256…
33, 30, 27, 24,... • 4, 6, 10, 12,...
Identify the hypotheses and the conclusion of the statement. • If two distinct lines intersect, then their intersection is a point. • H: two distinct lines intersect • C: their intersection is a point. • If students study hard, then they learn math. • H: students study hard • C: they learn math
Determine whether the conjecture is true or false. Give a counterexample if false. • Given: points A, B, C, and D Conjecture: A, B, C, and D are coplanar. • Given: point B is in the interior of <ADC Conjecture: <ADB = <BDC
Determine whether the conjecture is true or false. Give a counterexample if false. • Given: m + 6 = 10 • Conjecture: m = 2
Write in If-Then form… • A counterexample invalidates a statement. • Ants can walk on walls.
Write the Converse of the conditional statement Reminder: Conditional statements: p q Converse statements: q p • If you have a cat, then you are a pet owner. Converse: If you are a pet owner, then you have a cat. • If Marcus parked in the school parking lot, then he drove to school. Converse: If Marcus drove to school, then he parked in the school parking lot.
Write the converse • If you know Spanish, you can join the Foreign Language Club. Converse: If you can join the Foreign Language Club, then you know Spanish
State the reasons for each Step. a. x = 8 – 2x b. = 3(8 – 2x) c. 2x = 24 – 6x • 2x + 6x = 24 – 6x + 6x • 8x = 24 • x = 3