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

LM Jeopardy Geometric

Means Proportions Similar figures Parallel Lines Special Segments

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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: 5

2

x

8

$100 Answer from Proportions

What is x = 20

$200 Question from Proportions

Find y: 145

8 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 AB

DE

CB

CE

CA

CD

$400 Question from Proportions

Find K: 21

2k3

9

1k

$400 Answer from Proportions

What is k = -6.5

$500 Question from Proportions

Find the value of AE assumingAB 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 anglesare 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 )(~

~)(~

~)(~

tyTransitiviMPWMAL

AAMPWMHT

AAMALMHT

$100 Question from Parallel Lines

Set up a proportion given that the lines are parallel

$100 Answer from Parallel Lines

What is EB

CE

DA

CD

$200 Question from Parallel Lines

Find DB assuming DE is parallel to BC:

$200 Answer from Parallel Lines

What is 5.333333

$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 YS

XY

BR

AB

$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: QP

BA

QS

BD

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