lm jeopardy geometric means proportions similar figures parallel lines special segments $100 $200...

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

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Page 1: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

LM Jeopardy Geometric

Means Proportions Similar figures Parallel Lines Special Segments

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Final Jeopardy

Page 2: 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

Page 3: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$100 Answer from Geometric Means

What is 4 squ(5)

Page 4: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$200 Question from Geometric Means

15 is the geometric mean of 5 and what number?

Page 5: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$200 Answer from Geometric Means

What is 45

Page 6: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$300 Question from Geometric Means

Find the length of PS:

Page 7: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$300 Answer from Geometric Means

What is squ(42)

Page 8: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$400 Question from Geometric Means

Find the length of PR

Page 9: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$400 Answer from Geometric Means

PR = 2 squ(3)

Page 10: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$500 Question from Geometric Means

Find length of PQ

Page 11: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$500 Answer from Geometric Means

What is 2 squ(6)

Page 12: 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 Proportions

Find X: 5

2

x

8

Page 13: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$100 Answer from Proportions

What is x = 20

Page 14: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$200 Question from Proportions

Find y: 145

8 y

Page 15: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$200 Answer from Proportions

What is y = 22.4

Page 16: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$300 Question from Proportions

Set up the proportions for the three side lengths of the following similar triangles

Page 17: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$300 Answer from Proportions

What is AB

DE

CB

CE

CA

CD

Page 18: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$400 Question from Proportions

Find K: 21

2k3

9

1k

Page 19: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$400 Answer from Proportions

What is k = -6.5

Page 20: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$500 Question from Proportions

Find the value of AE assumingAB and ED are parallel:

Page 21: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$500 Answer from Proportions

What is AE = 19.2

Page 22: 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 Similar Figures

The two properties that similar figures have

Page 23: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$100 Answer from Similar Figures

What are corresponding anglesare congruent and corresponding sides proportional

Page 24: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$200 Question from Similar Figures

The three ways to prove two triangles similar.

Page 25: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$200 Answer from Similar Figures

What are AA~, SAS~, and SSS~

Page 26: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$300 Question from Similar Figures

True/False: The following two figures are similar

Page 27: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$300 Answer from Similar Figures

What is True

Page 28: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$400 Question from Similar Figures

The length of the shortest side of the given similar figures

Page 29: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$400 Answer from Similar Figures

What is 7.5

Page 30: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$500 Question from Similar Figures

Identify all similar triangles and explain why they similar to each other

Page 31: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$500 Answer from Similar Figures

What is )(~

~)(~

~)(~

tyTransitiviMPWMAL

AAMPWMHT

AAMALMHT

Page 32: 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 Parallel Lines

Set up a proportion given that the lines are parallel

Page 33: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$100 Answer from Parallel Lines

What is EB

CE

DA

CD

Page 34: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$200 Question from Parallel Lines

Find DB assuming DE is parallel to BC:

Page 35: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$200 Answer from Parallel Lines

What is 5.333333

Page 36: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$300 Question from Parallel Lines

Find X:

Page 37: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$300 Answer from Parallel Lines

What is X = 3

Page 38: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$400 Question from Parallel Lines

If AD ll BE ll CF, find y using the diagram below

Page 39: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$400 Answer from Parallel Lines

What is y = 2.5

Page 40: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$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!)

Page 41: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$500 Answer from Parallel Lines

What is X(6,1); Y(7,5)

XY is parallel to AC (m=4)

Page 42: 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 Special Segments

Set up a proportion using the altitudes if triangle ABC~ triangle XYZ

Page 43: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$100 Answer from Special Segments

What is YS

XY

BR

AB

Page 44: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$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

Page 45: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$200 Answer from Special Segments

What is True

Page 46: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$300 Question from Special Segments

Find the scale factor from triangle ABC to triangle XYZ if the triangles are similar

Page 47: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$300 Answer from Special Segments

What is 2:3

Page 48: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$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)

Page 49: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$400 Answer from Special Segments

What is 36.1

Page 50: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$500 Question from Special Segments

Set up a proportion and solve for XY

Page 51: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$500 Answer from Special Segments

What is XY = 27

Page 52: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

Final Jeopardy

Given: Triangle ABC ~ Triangle PQR BD is the altitude of Triangle ABC

QS is the altitude of Triangle PQR

Prove: QP

BA

QS

BD

Page 53: LM Jeopardy Geometric Means Proportions Similar figures Parallel Lines Special Segments $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

Statement Reason1. Given 1. Given

2. AD perp BD; PS perp QS 2. Def altitude3. A(ADB) and A(PSQ) are rt angles 3. Perp lines form 4 rt angles

4. A(ADB) congruent to A(PSQ) 4. All rt angles congruent5. A(A) congruent to A(P) 5. Def Similar Figures

6. Triangle ADB ~ Triangle PSQ 6. AA~7. Conclusion 7. Def Similar Figures