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6. 3. 5. A. 2. R. C. 5. 4. 9. BELL WORK. B. 6. 7.5. T. 10. S. 6. List the pairs of similar shapes. What is the scale factor to get from the smaller shape to the larger shape? Open your books to Stretching and Shrinking, Page 58. 6. NOTES REVIEW.
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6 3 5 A 2 R C 5 4 9 BELL WORK B 6 7.5 T 10 S 6 List the pairs of similar shapes. What is the scale factor to get from the smaller shape to the larger shape? Open your books to Stretching and Shrinking, Page 58. 6
NOTES REVIEW • Scale Factor – the number used to multiply the lengths of a figure to stretch or shrink it to a similar image. • Original Side Lengths x Scale Factor = New Side Lengths • Original Perimeter x Scale Factor = New Perimeter • Original Area x Scale Factor Squared = New Area
UNIT 4 – SIMILARITY AND RATIOS Here are examples of the image after it has been resized. Original Image
UNIT 4 – SIMILARITY AND RATIOS Here are examples of the image after it has been resized. Original Image
UNIT 4 – SIMILARITY AND RATIOS Simplify what you can. 5 to 4 1 to 2
UNIT 4.1 RATIOS WITHIN SIMILAR PARALLELOGRAMS 12 or 3 20 5 6 or 3 10 5 9 or 3 15 5 6 or 3 20 10
Unit 4.1 ratios with similar parallelograms 7.5 or 5 6 4 6 or 5 4.8 4 10 or 5 8 4 Parallelograms F and G are similar. Parallelogram E is not similar to the other two.
Unit 4.1 ratios with similar parallelograms No. You must also check the corresponding angle measures to see if they are congruent. All ratios of long side to short side equal 5/4
Unit 4.2 Ratios Within Similar Triangles Identify the triangles that are similar to each other. Explain how you use the angles and sides to identify the similar triangles. Triangles A, C and D are similar
Unit 4.2 Ratios Within Similar Triangles Within each triangle, find the ratio of the shortest side to the longest side. Find the ratio of the shortest side to the “middle” side.
Unit 4.2 Ratios Within Similar Triangles The ratios of corresponding side lengths of similar triangles are equal. You will usually get non-equivalent ratios for non-similar triangles. However, for some non-similar triangles some of the corresponding ratios, but not all, may be equivalent.
Exit Slip • Use angle measures and ratios between side lengths to determine which triangles are similar. Triangle A Triangle B Triangle C