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BELL WORK

What is the height of the flagpole in the figure to the left?. BELL WORK. 150 = x 100 600 100x = 90,000 x = 900 cm OR 100 x ? = 600 Scale Factor: 6 150 x 6 = 900. UNIT 5.3 ON THE GROUND… BUT STILL OUT OF REACH. Open your books to Stretching and Shrinking

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BELL WORK

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  1. What is the height of the flagpole in the figure to the left? BELL WORK 150 = x 100 600 100x = 90,000 x = 900 cm OR 100 x ? = 600 Scale Factor: 6 150 x 6 = 900

  2. UNIT 5.3ON THE GROUND…BUT STILL OUT OF REACH Open your books to Stretching and Shrinking Page 83

  3. 4 3 3 2 6 8 3 3 All rectangles have four 90 degree angles, yet not all rectangles are similar. Likewise, for any parallelogram we can stretch just one pair of sides as in the diagrams above, maintaining the same angles, with a result that is not similar to the original. Doing this changes the ratio of sides in the figure.

  4. The largest triangle with vertices at Stake 3 and Trees 1 and 2 is similar to the smallest one with vertices at the three stakes. • The two triangles share the angle at Stake 3. • The angle at Stake 1 has the same measure as the angle at Tree 1 because they are corresponding angles created by a transversal crossing two parallel lines. • Similarly, the angles at Stake 2 and Tree 2 have the same measure.

  5. NESTED TRIANGLES The triangles in this problem represent nested triangles. Nested triangles are triangles that share a common angle. What is the common angle in this example? The angle formed at Stake 3.

  6. MISSING LENGTH B. What is the distance across the river from Stake 1 to Tree 1? 120 ft. Find the scale factor. 80 x ? = 160 Scale Factor: 2 120 ft. x 2 = 240 ft. 240 ft. – 120 ft. = 120 ft. Set up a proportion. 80 = 160 120 x 80x = 19,200 x = 240 240 ft. – 120 ft. = 120 ft.

  7. Standing at Stake 3, look at Tree 1. Have a friend place Stake 1 as close to the river as possible, directly in line between you and Tree 1. Repeat for Tree 2 and Stake 2.

  8. Yes Find the scale factor. 32 x ? = 160 Scale Factor: 5 30 ft. x 5 = 150 ft. 150 ft. – 30 ft. = 120 ft. Set up a proportion. 32 = 160 30 x 32x = 4,800 x = 150 150 ft. – 30 ft. = 120 ft.

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