LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

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Presentation transcript:

LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$100 Question from Geometric Means Find the geometric mean of 8 and 10

$100 Answer from Geometric Means What is 4 squ(5)

$200 Question from Geometric Means 15 is the geometric mean of 5 and what number?

$200 Answer from Geometric Means What is 45

$300 Question from Geometric Means Find the length of PS:

$300 Answer from Geometric Means What is squ(42)

$400 Question from Geometric Means Find the length of PR

$400 Answer from Geometric Means PR = 2 squ(3)

$500 Question from Geometric Means Find length of PQ

$500 Answer from Geometric Means What is 2 squ(6)

$100 Question from Proportions Find X:

$100 Answer from Proportions What is x = 20

$200 Question from Proportions Find y:

$200 Answer from Proportions What is y = 22.4

$300 Question from Proportions Set up the proportions for the three side lengths of the following similar triangles

$300 Answer from Proportions What is

$400 Question from Proportions Find K:

$400 Answer from Proportions What is k = -6.5

$500 Question from Proportions Find the value of AE assuming AB and ED are parallel:

$500 Answer from Proportions What is AE = 19.2

$100 Question from Similar Figures The two properties that similar figures have

$100 Answer from Similar Figures What are corresponding angles are congruent and corresponding sides proportional

$200 Question from Similar Figures The three ways to prove two triangles similar.

$200 Answer from Similar Figures What are AA~, SAS~, and SSS~

$300 Question from Similar Figures True/False: The following two figures are similar

$300 Answer from Similar Figures What is True

$400 Question from Similar Figures The length of the shortest side of the given similar figures

$400 Answer from Similar Figures What is 7.5

$500 Question from Similar Figures Identify all similar triangles and explain why they similar to each other

$500 Answer from Similar Figures What is

$100 Question from Parallel Lines Set up a proportion given that the lines are parallel

$100 Answer from Parallel Lines What is

$200 Question from Parallel Lines Find DB assuming DE is parallel to BC:

$200 Answer from Parallel Lines What is

$300 Question from Parallel Lines Find X:

$300 Answer from Parallel Lines What is X = 3

$400 Question from Parallel Lines If AD ll BE ll CF, find y using the diagram below

$400 Answer from Parallel Lines What is y = 2.5

$500 Question from Parallel Lines ABC has vertices A(0,2), B(12,0), C(2,10). -Find the coordinates of the midpoint X of AB and Y of CB. -Determine if XY ll AC (show work!)

$500 Answer from Parallel Lines What is X(6,1); Y(7,5) XY is parallel to AC (m=4)

$100 Question from Special Segments Set up a proportion using the altitudes if triangle ABC~ triangle XYZ

$100 Answer from Special Segments What is

$200 Question from Special Segments True/False: The scale factor between the perimeter of two triangles is the same scale factor between the proportional sides

$200 Answer from Special Segments What is True

$300 Question from Special Segments Find the scale factor from triangle ABC to triangle XYZ if the triangles are similar

$300 Answer from Special Segments What is 2:3

$400 Question from Special Segments Assume ABD~ADC. If AD = 16, AC = 31, and DC = 23. Find the perimeter of triangle ABD (round everything to one decimal)

$400 Answer from Special Segments What is 36.1

$500 Question from Special Segments Set up a proportion and solve for XY

$500 Answer from Special Segments What is XY = 27

Final Jeopardy Given: Triangle ABC ~ Triangle PQR BD is the altitude of Triangle ABC QS is the altitude of Triangle PQR Prove:

Statement Reason 1. Given1. Given 2. AD perp BD; PS perp QS2. Def altitude 3. A(ADB) and A(PSQ) are rt angles3. Perp lines form 4 rt angles 4. A(ADB) congruent to A(PSQ)4. All rt angles congruent 5. A(A) congruent to A(P)5. Def Similar Figures 6. Triangle ADB ~ Triangle PSQ 6. AA~ 7. Conclusion7. Def Similar Figures