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Proportion & Ratios $100 $200 $300 $500 $400 Similar Polygons $400 $300 $200 $100 $500 Similar Triangles $100 $200 $300 $400 $500 Proportions in Triangles $100 $200 $300 $400 $500

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Proportions for $100 Two ratios that are equal

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Proportions for $200

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Proportions for $300 Find the ratio of the length to the width of the rectangle and simplify. 60 feet 78 feet

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Proportions for $400 The similarity ratio of two rectangles is 4:5. What is the ratio of the perimeters and the areas?

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The area of a regular octagon is 35 cm 2. What is the area of a regular octagon with side six times as large?

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Similar Polygons for $100 If two polygons are similar then 1) Corresponding __________ are congruent and 2) Corresponding sides are __________.

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Similar Polygons for $200 Determine if the two figures are similar and explain: 10 cm 20 cm 5 cm 10 cm

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Similar Polygons for $300 The measures of the corresponding sides of the polygons are proportional. If AD = 6, DC = 3, and WZ = 33, find YZ. (not drawn to scale) D A B CW X Z Y

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Similar Polygons for $400 The two polygons are similar. Find the value of x. 15 18 30 x

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Similar Polygons for $500 The polygons below are similar, but not necessarily drawn to scale. Find the values of x and y. 20 45 x-1 y+1 12 9 21 27

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Similar Triangles for $100 What are the three different ways to prove triangles similar? AND Are equilateral triangles always similar? What would be the easiest way to prove your answer?

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Similar Triangles for $200 Are the two triangles similar? If so, tell which theorem you used and explain why. S M T R N

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Similar Triangles for $300 Are the triangles similar? If so, tell which theorem you used and explain why. 2 3 3 1/3 8 3 5

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Similar Triangles for $400 Explain why the triangles are similar. Then find the value of x. 5 3 25º x 4.5 25º

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Similar Triangles for $500 Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not scale. F G 47m 82m 92m 73.8m 82.8m

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Proportions in Triangles for $100 Use the Side-Splitter Theorem to find x given that PQ || BC. A PQ B C 8 12 x 18

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Proportions in Triangles for $200 Given AE || BD solve for x A E D C B x 5 11 7

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Proportions in Triangles for $300 Find x to the nearest tenth. Given that angle BAC is congruent to angle CAD A B C D 15.7 x 9.6 20.2

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Proportions in Triangles for $400 Solve for x and y 16.5 y 15 26 x 30

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Proportions in Triangles for $500 In Lexington Main Street, Vine Street, and High Street are parallel streets that intersect South and North Upper. How long is the walk from Main Street to Vine Street along South Upper? High St Main St Vine St North UpperSouth Upper 330ft 500ft 425ft

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Final Jeopardy Question

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Unit 1 Transformations Day 5. Similar Polygons - Two figures that have the same shape but not necessarily the same size ◦ Symbol: ~ ◦ Similar Polygons.

Unit 1 Transformations Day 5. Similar Polygons - Two figures that have the same shape but not necessarily the same size ◦ Symbol: ~ ◦ Similar Polygons.

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