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Jeopardy 7.1 – 7.2 January 7 th , 2016
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Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

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Page 1: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Jeopardy7.1 – 7.2

January 7th, 2016

Page 2: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Ratios ProportionsSimilar

Polygons

MoreSimilar

Polygons!!Grab Bag

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

50 50 50 50 50

Page 3: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Ratios - 10

• Write the ratio of the first measurement to the second measurement

• Height of book 11 inches

• Height of bookshelf 3 feet 3 inches

Page 4: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Ratios – 10

11 : 39

11/39

Page 5: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Ratios - 20

• The ratio of country albums to jazz albums in a music collection is 2 : 3. If the music collection has 45 albums, how many are country albums?

Page 6: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Ratios – 20

18

Page 7: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Ratios - 30

• The lengths of the sides of a triangle are in the extended ratio 3 : 6 : 8. The triangle’s perimeter is 510 cm. What are the lengths of the sides?

Page 8: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Ratios – 30

• 90 cm, 180 cm, 240 cm

Page 9: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Ratios - 40

• Solve the proportion:

.

Page 10: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Ratios – 40

2

Page 11: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Ratios - 50

• Write the ratio of the first measurement to the second measurement

• weight of a cupcake: 2 oz

• weight of a cake: 2 lb 2 oz

Page 12: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Ratios – 50

1:17

1/17

Page 13: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Proportions - 10

• The perimeter of a rectangle is 280 cm. The ratio of the width to the length is 3 : 4. What is the length of the rectangle?

Page 14: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Proportions – 10

80 cm

Page 15: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Measuring Proportions - 20

• A band director needs to purchase newuniforms. The ratio of small to medium tolarge uniforms is 3 : 4 : 6.

• Question:

• If there are 260 uniforms to purchase in all, how many will be small?

Page 16: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Proportions – 20

60

Page 17: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Proportions - 30

• Solve the proportion.

• X=?

Page 18: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Proportions – 30

-1

Page 19: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Proportions - 40

• The measures of two complementary angles are in the ratio 2 to 3. What is the measure of the smaller angle?

Page 20: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Proportions – 40

36

Page 21: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Proportions - 50

• If 8 hens lay 14 eggs in 6 days, how many eggs will 24 hens lay in 6 days?

Page 22: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Proportions – 50

42

Page 23: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Similar Polygons - 10

Corresponding ______________ are congruent in similar polygons.

Page 24: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Similar Polygons – 10

Angles

Page 25: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Similar Polygons - 20

Page 26: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Similar Polygons –20

Page 27: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Similar Polygons -30

• The polygons are similar. Find the values of the variables.

Page 28: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Similar Polygons– 30

X=30˚

Y=4

Page 29: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Similar Polygons - 40

• Are the polygons similar? If so, write a similarity statement.

Page 30: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Similar Polygons – 40

No

Page 31: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Similar Polygons - 50

Page 32: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Similar Polygons – 50

X=5

Page 33: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

More Similar Polygons! -10

• Corresponding side lengths are ________________________ for similar polygons.

Page 34: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer More Similar Polygons!– 10

Proportional

Page 35: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

More Similar Polygons! -20

• List the pairs of congruent angles and the extended proportion that relates the sides.

Page 36: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer More Similar Polygons!– 20

Page 37: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

More Similar Polygons! -30

• The polygons are similar, find the value of y.

Page 38: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer More Similar Polygons!– 30

Y= 10.5

Page 39: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

More Similar Polygons! - 40

• Determine if the polygons are similar, if so, find the scale factor.

Page 40: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer More Similar Polygons!– 40

2 : 3

Page 41: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

More Similar Polygons! - 50

• The polygons are similar, find the value of each variable.

Page 42: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer More Similar Polygons!– 50

X=12.75

Y=18.5

Page 43: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Grab Bag - 10

• How many ounces are in a pound? (We used this for conversions)

Page 44: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Grab Bag– 10

16 oz = 1 lb

Page 45: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Grab Bag - 20

• Find the value of x.

Page 46: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Grab Bag– 20

X = 10.2

Page 47: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Grab Bag - 30

• Are the triangles similar? (Hint: Think about what we learned yesterday!)

Page 48: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Grab Bag– 30

Yes, by Angle Angle Similarity

Page 49: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Grab Bag - 40

Page 50: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Answer Grab Bag– 40

Page 51: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Grab Bag -50

• Tell a math joke.

• Note: It cannot be why is 6 afraid of 7 (because 7 ate 9)

Page 52: Jeopardy - nhvweb.net · Jeopardy 7.1 –7.2 January 7th, 2016. Ratios Proportions Similar Polygons More Similar Polygons!! Grab Bag 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40

Grab Bag– 50

Many possibilities

What did the little acorn say when he grew up?Geometry (Gee, I’m a tree)