Week 3 08.14.17 Day 4 Dilations.notebook August 17, 2017 Do Now! • Have out your IMN, calculator and a pencil. • TOC: pg. 13,Dilations and Scale Factor Aug 129:14 AM Learning Target: I can dilate geometric figures on the coordinate plane. Standards: MGSE8G3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. MGSE8G4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. Mar 32:14 PM 1
Week 3 08.14.17 Day 4 Dilations.notebook August 17, 2017 Dilation and Scale Factor p. 13 dilation : changes the size of a figure, but not its shape. It may be an enlargement or a reduction. Creates a similar figure. scale factor : the ratio of corresponding sides on similar figures. image scale factor = original Image Pre-image (original) Enlargement Scale factor 6 6 2 2 > 1 to dilate multiply by 3 3 image 6 9 9 scale factor = = = 3 = 3 original 2 3 Reduction Pre-image (original) Image Scale factor 15 15 < 1 3 3 to dilate multiply by 1/5 2 10 image 3 2 1 1 scale factor = = = = original 15 5 10 5 Mar 56:24 PM Work Time 1. Complete EDpuzzle assignment, "Lesson 3.1 Dilations of Triangles" 2. Complete "Dilations/Translations Worksheet" #1-8 3. Complete "Dilations and Scale Factor Lesson 21" Practice #1-10 4. Correct all missed problems on your Transformations Test! All Re-Takes must be completed by Friday, August 25. 5. EDpuzzle assignment"Lesson 3.2 Similar Figures", take notes, and complete assessment. Aug 139:53 AM 2
Week 3 08.14.17 Day 4 Dilations.notebook August 17, 2017 Aug 217:26 PM Aug 217:31 PM 3
Week 3 08.14.17 Day 4 Dilations.notebook August 17, 2017 Closing Talk the Talk p. 94-95 In this lesson, several triangles were dilated. Whether it was an enlargement or a reduction, the same conclusions can be drawn about the relationship between corresponding angles and the relationship between the corresponding sides of a triangle and its image resulting from dilation. 1. Describe the relationship between the corresponding angles in an original triangle and its image resulting from dilation. 2. Describe the relationship between the corresponding sides in an original figure and its image resulting from dilation. 3. Does dilation result in an image that is the same shape as the original? Why or why not? 4. Does dilation result in an image that is the same size as the original? Why or why not? 5. If two triangles are congruent, what is the relationship between the corresponding angles? 6. If two triangles are congruent, what is the relationship between the corresponding sides? 7. Describe how a triangle is dilated when the ratio distance of the image from the center of dilation : distance of the original figure from the center of dilation is: ● less than 1. ● equal to 1. ● greater than 1. Aug 217:49 PM Ticket Out the Door Use the coordinates in the situation to determine the scale factor used. 1. A(-2, -1) B(-2, -2) C(1, 1) A'(-8, -4) B'(-8, -8) C'(4, 4) Mar 910:29 PM 4
Week 3 08.14.17 Day 4 Dilations.notebook August 17, 2017 Homework: • Watch video "Lesson 3.2 Similar Figures", take notes, and complete assessment. • Test Corrections for Congruency and Transformation Test • "Dilations and Scale Factor Lesson 21" Practice #1-10 • "Dilations/Translations Worksheet" #1-8 Sep 19:40 PM Aug 2611:35 AM 5
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