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Jeopardy. Chapter 1. Chapter 2. Chapter 3. Chapter 4. Chapter 5. Q $100. Q $100. Q $100. Q $100. Q $100. Q $200. Q $200. Q $200. Q $200. Q $200. Q $300. Q $300. Q $300. Q $300. Q $300. Q $400. Q $400. Q $400. Q $400. Q $400. Q $500. Q $500. Q $500. Q $500. Q $500.
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Jeopardy Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500
$100 Question from Chapter 1 Name the intersection of plane TSR And EG in the diagram below. G S R L T F E
$100 Answer from Chapter 1 Point R
$200 Question from Chapter 1 Find the radius of a circle whose circumference is 46
$200 Answer from H1 23 Circumference = Pi x Diameter. Set 46 pi = pi x d. Then divide by pi to find d = 46. Radius is half the diameter.
$300 Question from Chapter 1 Find the distance between (-2, 3) and (1, -3).
$300 Answer from Chapter 1 (x2 – x1)^2 + (y2 – y1)^2 (1 – (-2))^2 + ((-3) – 3)^2 3^2 + (-6)^2 9 + 36 = 45 = 9(5) = 3 5
$400 Question from Chapter 1 How many dots are in the next picture in the sequence?
$400 Answer from Chapter 1 192 3, (x 4) 12 , (x 4) = 48, (x 4) = 192
$500 Question from Chapter 1 Locate points H, O and S on a segment so S is between O and H. Let SH = 4x + 2, OH = 8x + 16, and OS = 10x + 2. Find the measure of OS.
$500 Answer from Chapter 1 22 Part + Part = Whole 4x + 2 + 10x + 2 = 8x + 16 x = 2 OS = 10(2) + 2 = 22
$100 Question from Chapter 2 A D B C True or False? Angles ABD and DBC above are adjacent, acute and complementary.
$100 Answer from Chapter 2 True. They are adjacent (share a side with each other) acute (each are less than 90), and complementary (have measures that add to 90).
$200 Question from Chapter 2 Given “If it rains, we won’t go”, what word describes “If it doesn’t rain, then we will go.
$200 Answer from Chapter 2 Inverse The inverse leaves the hypothesis as the “if” and the conclusion as the “then”, but says the opposite of each.
$300 Question from Chapter 2 Which property states that if AB = AC, Then AC = AB?
$300 Answer from Chapter 2 The symmetric property. Other properties: Reflexive: everything is = to itself Substitution: if two things are =, one can be put in place of the other. Transitive: given 2 equations, “you can cut out the middle man”.
$400 Question from Chapter 2 “The last letter in the name of every month is “y”.” Give one example that supports the conjecture and a counterexample that proves it is false,
$400 Answer from Chapter 2 January, July, etc. March, August, etc.
$500 Question from Chapter 2 Classify the points R,S and E as Collinear or Noncollinear G S R L T F E
$500 Answer from Chapter 2 Noncollinear
$100 Question from Chapter 3 Which theorem tells us that the lines below are parallel?
$100 Answer from Chapter 3 Alternate exterior angles converse The converses say IF the angles are = (or supplementary), THEN the lines are parallel.
$200 Question from Chapter 3 Find angle 1 if the lines are parallel. 2x + 12o 22xo 1
$200 Answer from Chapter 3 26 2x + 12 + 22x = 180 24x + 12 = 180 24x = 168 x = 7 2(7) + 12 = 14 + 12 = 26
$300 Question from Chapter 3 What name is given to angles 1 and 2 in the diagram below? 2 1
$300 Answer from Chapter 3 Consecutive Interior Angles
$400 Question from Chapter 3 Give the missing statement and reason in the proof. A Statement Reason AB || CD Given 1 = 3 Corresp. ‘s 3 + 2 = 180 Linear Pair _____________ ____________ 1 and 2 are supplem Def. of Supp. 1 B 3 C 2 D
$400 Answer from Chapter 3 1 + 2 = 180 Substitution
$500 Question from Chapter 3 What is the relationship between the lines y = x – 2 and the line passing through (9, -1) and (4, 3)? Parallel, perpendicular or neither? 4 5
$500 Answer from Chapter 3 Neither The slope of the first line is 4/5 (m in y = mx + b) The slope of the 2nd line is (3 – (-1))/(4 – 9) = -4/5. A parallel line would have the same slope (4/5). A perpendicular line would have a slope that is the opposite reciprocal (-5/4)
$100 Question from Chapter 4 Which reason could be given for the statement that VXY = WYX ? V Y X W
$200 Question from Chapter 4 Given AB = DE, BC = EF, what other piece of information would need to prove that triangles ABC and DEF are congruent by SAS?
$200 Answer from Chapter 4 Angle B = Angle E E B D A C F Curves on those included angles give SAS.
$300 Question from Chapter 4 Solve for x, y and z xo z 5 yo 24o 12
$300 Answer from Chapter 4 X = 66, y = 156, z = 13 Use the Pythagorean Theorem for z.
$400 Question from Chapter 4 Find the measure of angle ABC A C B
$400 Answer from Chapter 4 A 30o C 1 B Angle 1 = 60, since it is in an equilateral triangle. Angle ABC = 180 – 60 – 90 = 30.
$500 Question from Chapter 4 Give the missing statement and reason for the proof of the converse of the base angles theorem. B • Statement Reason • A = C 1. Given • BDA = 90 and 2. Given • BDC = 90 • BDA = BDC 3. Transitive • BD = BD 4. Reflexive • ABD = CBD 5. AAS • _____________ 6. __________ • ABC is isosceles 7. Def. of isosc. A C D
$500 Answer from Chapter 4 AB = BC CPCTC In chapter 4, 2 kinds of proofs were done. One type had us find 3 sets of = parts in 2 triangles, then had us pick from the list SSS, SAS, AAS, ASA and HL to prove triangles were congruent. Others go further and use CPCTC to say that other pairs of parts much match, now that the triangles are =.
$100 Question from Chapter 5 True or False? The centroid is the point where the 3 angle bisectors of a triangle cross.
$100 Answer from Chapter 5 FALSE The angle bisectors cross at the incenter. The medians are the segments that cross at the centroid.
$200 Question from Chapter 5 AB is a midsegment of EFG. Find EF and AB. E 5 A B 6 F G 14
$200 Answer from Chapter 5 EF = 10 and AB = 7 Midsegments cut two sides of a triangle in half. They are parallel to and half the length of the side they do not intersect.
$300 Question from Chapter 5 The three medians of the triangle are drawn. Find x. x + 4 x - 7
$300 Answer from Chapter 5 18 Medians cut each other into parts that are in a 2:1 ratio. The part from centroid to vertex is twice as long as the part from the centroid to the midpoint of a side. 2(x - 7) = x + 4 2x – 14 = x + 4 x = 18
$400 Question from Chapter 5 CF is an angle bisector in triangle ABC. If angle ACF = 42o. Find angle ACB.
$400 Answer from Chapter 5 84o A F 42o C B
$500 Question from Chapter 5 What is the slope of the perpendicular bisector of a segment with endpoints on the line 4x – 3y = 15?
