Stretching and Shrinking What do you know? Stretching and Shrinking SIMILAR FIGURES Unit Test Review

Enlarging & Reducing Shapes What Do You Know? Enlarging & Reducing Shapes Similar Figures Similar Polygons Similarity & Ratios Vocabulary 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

Vocabulary - 100 Define Similar Check Your Answer

Same shape, but not the same size. Vocabulary - 100 Same shape, but not the same size. Back to Game Board

Draw 2 figures and color code their corresponding sides Vocabulary - 200 Draw 2 figures and color code their corresponding sides Check Your Answer

The side in the same relative position on a similar figure. Vocabulary - 200 The side in the same relative position on a similar figure. Back to Game Board

Vocabulary - 300 Define Scale Factor Check Your Answer

Vocabulary - 300 The number used to multiply the lengths of a figure to stretch or shrink it to a similar image. Back to Game Board

Give an example of equivalent ratios. Vocabulary - 400 Give an example of equivalent ratios. Check Your Answer

Ratios whose fraction representation are the same. Vocabulary - 400 Ratios whose fraction representation are the same. Back to Game Board

Draw 2 rectangles and color code the adjacent sides. Vocabulary - 500 Draw 2 rectangles and color code the adjacent sides. Check Your Answer

Adjacent is the sides that are touching. Vocabulary - 500 Adjacent is the sides that are touching. Back to Game Board

Investigation 1 - 100 What is 10% of 80? Check Your Answer

Inv. 1 Answer - 100 10% of 80 = 8 Back to Game Board

Investigation 1 - 200 If a three-band stretcher is used to enlarge a rectangle, how will the perimeter of the enlargement compare to the perimeter of the original? Check Your Answer

Inv. 1 Answer - 200 The perimeter of the enlargement will be three times larger than the original. Back to Game Board

Investigation 1 - 300 If a three-band stretcher is used to enlarge a triangle, how will the angles of the enlargement compare to the angles of the original? Check Your Answer

Corresponding angles of similar figures have the same measure. Inv. 1 Answer - 300 Corresponding angles of similar figures have the same measure. Back to Game Board

Investigation 1 - 400 Check Your Answer

Inv. 1 Answer - 400 Back to Game Board

Investigation 1 - 500 Check Your Answer If a three-band stretcher is used to enlarge a triangle, how will the area of the enlargement compare to the area of the original? Check Your Answer

Inv. 1 Answer - 500 The area of the enlargement will be 9 times larger. Back to Game Board

Investigation 2 - 100 Check Your Answer Suppose you used the rule (6x, 6y) to transform a figure into a new figure. How would the angles of the new figure compare with the angles of the original? Explain. Check Your Answer

Inv. 2 Answer - 100 Back to Game Board The angles would be the same because 6 is being multiplied by the length and width. The two figures will be similar which makes their corresponding angles the same! Back to Game Board

Investigation 2 - 200 Check Your Answer Write a rule that can be applied to the length and width of a rectangle to create a figure that is not similar. Check Your Answer

Inv. 2 Answer - 200 Answers may vary. Back to Game Board

Investigation 2 - 300 If you enlarge the rectangle below at a scale factor of 200%, what will the new dimensions be? 4 cm 10 cm Check Your Answer

Inv. 2 Answer - 300 Back to Game Board 8 cm 20 cm Steps: Convert 200% to decimal of 2.00 2 x 10 = 20 cm 2 x 4 = 8 cm Back to Game Board

Investigation 2 - 400 Check Your Answer Robert graphed a triangle on a coordinate plane. He decided to see what happened if he transformed the shape with the rule (2x, y+1). Which of the following tables could be an actual representation of his original triangle and his transformation? Explain. A B (x, y) (2, 1) (6, 1) (4, 6) (2x, y +1) (4, 2) (12, 1) (8, 7) (x, y) (2, 1) (6, 1) (4, 6) (2x, y +1) (4, 2) (12, 2) (8, 7) Check Your Answer

Inv. 2 Answer - 400 Back to Game Board B. (x, y) (2, 1) (6, 1) (4, 6) (4, 2) (12, 2) (8, 7) Back to Game Board

Investigation 2 - 500 Check Your Answer Tim wants to create Dug, a friend to Mug on the coordinate plane. His rule for Dug in relation to Mug is (x+1, y+2). Which of the following statements best describes Dug? Dug will be enlarged so he is 2 times as large as Mug. Dug will not be similar to Mug. Dug will be congruent to Mug, but moved 1 space to the right and 2 spaces above Mug. Check Your Answer

Inv. 2 Answer - 500 Back to Game Board Dug will be congruent to Mug, but moved 1 space to the right and 2 spaces above Mug. (x+1, y+2) does not change the size at all. Adding a number to x and y just moves the figure in the coordinate plane. Back to Game Board

Check Your Answer Investigation 3 - 100 The quadrilaterals below are similar. What is the scale factor from the small quadrilateral to the large quadrilateral? Check Your Answer

Inv. 3 Answer - 100 The scale factor is 5. Back to Game Board

Check Your Answer Investigation 3 - 200 ABCD is similar to EFGH. What is the scale factor from rectangle ABCD to rectangle EFHG? F E A B 3 cm 6 cm D C G H 9 cm Check Your Answer

Inv. 3 Answer - 200 Back to Game Board The scale factor is 2. 6/3 = 2 3 cm 6 cm D C G H 9 cm Back to Game Board

Check Your Answer Investigation 3 - 300 ABCD is similar to EFGH. What is the scale factor from rectangle EFHG to rectangle ABCD? F E A B 3 cm 6 cm D C G H 9 cm Check Your Answer

Inv. 3 Answer - 300 Back to Game Board The scale factor is ½. 3/6 = ½ . ½ is the reciprocal of 2/1. F E A B 3 cm 6 cm D C G H 9 cm Back to Game Board

Check Your Answer Investigation 3 - 400 What is the measure of angle T? 50° T Check Your Answer

Inv. 3 Answer - 400 Back to Game Board T = 40° 90° + 50° = 140° 180° – 140° = 40° 50° T Back to Game Board

Check Your Answer Investigation 3 - 500 ABCD is similar to EFGH. How does the area of ABCD compare to EFGH? Explain. F E A B 3 cm 6 cm D C G H 9 cm Check Your Answer

Inv. 3 Answer – 500 Back to Game Board The area is 4 times larger because it is the (scale factor)2 22 = 4 F E A B 3 cm 6 cm D C G H 9 cm Back to Game Board

Investigation 4 - 100 Check Your Answer

Inv. 4 Answer - 100 Back to Game Board

Investigation 4 - 200 Check Your Answer

Inv. 4 Answer - 200 Back to Game Board

Investigation 4 - 300 Back to Game Board

Inv. 4 Answer - 300 Back to Game Board

Investigation 4 - 400 Back to Game Board

Inv. 4 Answer - 400 Back to Game Board

Investigation 4 - 500 Back to Game Board Find the adjacent side ratios to see which triangles are similar. What about their angles? 6 cm C 12 cm A 6 B 5 cm 4 cm 8 cm Back to Game Board

Inv. 4 Answer - 500 Back to Game Board Triangle Long Side Short Side Ratio A 12 8 12/8 = 1.5 B 6 4 6/4 = 1.5 C 5 6/5 = 1.2 A & B are similar if their corresponding angles are the same measure. 12 cm 6 cm A C 6 B 5 cm 4 cm 8 cm Back to Game Board