1. CW: WS.

2. Quick Start Expectations 1.Fill in planner and HWRS HW: p. 60-77 # 1-4, 29a, 30a, 31 2.Get a signature on HWRS 3.On desk: math journal, HWRS, pencil, pen 4.Warm Up: d 1. 2. For each of the following angle measures, find the measure of its supplementary angle. a.130⁰ b.a⁰ 135⁰ d

3. SS p. 50

4. How do rep-tiles show that the scale factors and areas of similar quadrilaterals and triangles are related? Journal 11/18/14 Inv. 3: Scaling Perimeter and Area 3.1, 3.2 What types of quadrilaterals and triangles are rep-tiles? Underline 1 or 2 key words In this problem, you will discover which rectangles, non-rectangular quadrilaterals, and triangles are rep-tiles. and triangles Forming

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6. Multiple squares form a larger square. Multiple hexagons do NOT form a larger hexagon.

7. original trapezoid Sketch non-rectangular parallelogram parallelogram p. 52 four copies Sketch these figures. Then try to form a rep-tile out of each. Yes! All rectangles & parallelograms have copies that can fit together to make a larger shape that is similar to the original. Can you form a rep-tile out of each of these shapes?

8. As a group answer the questions in B: Each side length of the larger is twice the length of the corresponding side of the smaller triangle. (2 x 1 = 2 ) original four copies scale factor 1 scale factor 2 The perimeter of the larger is twice the perimeter of the smaller (for a scale factor of 2). (2 x 4 = 8 ut ) The area is 4 times the area of the original because four of the smaller triangles fit into the larger triangle. This is also the square of the scale factor. (2² x 1 = 4 ut²)

9. nine copies scale factor = 3 sixteen copies scale factor = 4 original

10. The side lengths of the new rep-tile A is twice (2x) the corresponding sides of the original. (2 x 1 = 2) scale factor 1 scale factor 2 scale factor 4 B is four times (4x) the corresponding sides of the original. (4 x 1 = 4) And is twice (2x) the sides of A. (2 x 2 = 4) B A original

11. side length: area: perimeter: angles: The scale factor (4) times the corresponding side length of the small rectangle (1) (4 x 1 = ) For this example: The perimeter of the large rectangle is the scale factor (4) times the perimeter of the small rectangle (4) (same) (4 x 4 = ) Angles of all similar figures are congruent, no matter what the scale factor is. (4² x 1 = ) The square of the scale factor (4²) times the area of the small rectangle (1). 4 16 ut 16 ut²

12. p. 54 Sketch one of these figures. Then try to form a rep-tile. Can you form a rep-tile out of each of these shapes? Yes! All triangles (right, isosceles, and scalene) have copies that can fit together to make a larger, similar triangle. A scalene triangle and rep-tile

13. scale factor 1 scale factor 2 The perimeter of the larger triangle is twice the perimeter of the smaller triangle (for a scale factor of 2). Each side length of the larger triangle is twice the length of the corresponding side of the smaller triangle. The area is 4 times the area of the original because four of the smaller triangles fit into the larger triangle. This is also the square of the scale factor. (2 x 1 = 2 ) (2 x 3 = 6 ut ) (2² x 1 = 4 )

14. scale factor 4 scale factor 1 scale factor 2 2. Find the scale factor of the largest rep-tile.

15. side length: perimeter: angles: area: The scale factor (4) times the side lengths of the smaller triangle (1). (4 x 1 = ) 4 (4 x 3 = ) The scale factor (4) times the perimeter of the smaller triangle (3). 12 ut The same! The square of the scale factor (4²) times the area of the smaller triangle (1). (4² x 1 = ) 16 ut²