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Click on the mouse after each question for the answer to appear.
Geometry Test Review Chapter 2 Click on the mouse after each question for the answer to appear.
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Distance/Midpoint
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Complementary Find the measures of two complementary angles if the difference in the measure is 16. A + B = A – B = 16 2A = A = 53o and B = 37o
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Polygon Name the polygon by the number of sides. Classify as convex or concave, regular or irregular. Decagon, concave, irregular
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Conjecture Make a conjecture about the next letter in the sequence. L M N P Q R T U
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Find the value of x, m1 and m2.
4x x = 180 6x + 6 = 180 6x = 174 x = 29 , m1 = 58o and m2= 122o 4x + 6 2x 2 1
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Counterexample Given: a + b ≤ 8 and a = 2 Conjecture: b ≤ 5
Any number example bigger than 5 up to 6.
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Truth Tables Construct a truth table for (p ٨ ~q) ٧ q.
p q ~q (p ٨ ~q) (p ٨ ~q) ٧ q T T F F T T F T T T F T F F T F F T F F
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Properties State the property that justifies the statement
If a + b = 25 and b = c, then a + c = 25. substitution
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ID Hypothesis & Conclusion
In a plane, if lines l and m are equidistant from line p, then l || m. Hypothesis = if lines l and m are equidistant from line p Conclusion = then l || m
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Truth value, converse, inverse, contrapositive.
Points X, Y and Z determine two lines. False Converse: Two lines determine points X, Y and Z. Inverse: If there are not the points X, Y, and Z then they don’t determine two lines. Contrapositive: If you don’t have two lines then they don’t determine points X, Y, and Z.
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Venn Diagram Create a Venn diagram to show a survey of 40 people of which 13 people like both chocolate and peanut butter, 27 who like chocolate, 18 who like peanut butter. Chocolate 14 Peanut Butter 5 13 Neither 8
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Proof (Click the mouse for each reason line to appear.)
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