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.

Distance/Midpoint  

Complementary Find the measures of two complementary angles if the difference in the measure is 16. A + B = 90 A – B = 16 2A = 106 A = 53o and B = 37o

Polygon Name the polygon by the number of sides. Classify as convex or concave, regular or irregular. Decagon, concave, irregular

Conjecture Make a conjecture about the next letter in the sequence. L M N P Q R T U

Find the value of x, m1 and m2. 4x + 6 + 2x = 180 6x + 6 = 180 6x = 174 x = 29 , m1 = 58o and m2= 122o 4x + 6 2x 2 1

Counterexample Given: a + b ≤ 8 and a = 2 Conjecture: b ≤ 5 Any number example bigger than 5 up to 6.

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

Properties State the property that justifies the statement If a + b = 25 and b = c, then a + c = 25. substitution

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

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.

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

Proof (Click the mouse for each reason line to appear.)   2 3 1 4