Describe a sequence of dilations and rigid motions between two figures. Use coordinate points to represent relationships between similar figures.
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In this lesson, students combine their understanding of dilations and rigid transformations to determine if two figures are similar in the coordinate plane.
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Determine using rotations, translations, reflections, and/or dilations whether the two polygons shown below are similar.
Are They Similar?, accessed on Oct. 13, 2017, 4:11 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.Triangle $${ABC}$$, shown on the coordinate plane below, is dilated from point $$A$$ by a scale factor of $${\frac{1}{2}}$$ and then translated $$3$$ units down and $$2$$ units left.
What are the new coordinates for point $${B'}$$?
Grade 8 Mathematics > Module 3 > Topic A > Lesson 6 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Rectangle $${{ABCD}}$$ and point $${B'}$$ are shown in the coordinate plane below. Rectangle $${{ABCD}}$$ underwent two transformations, one of which was a dilation.
Describe a possible sequence of transformations that could result in point $$B$$ mapping to point $${B'}$$.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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In the picture below, triangle $${{DEF}}$$ has been dilated from the origin by a scale factor of $${\frac{1}{2}}$$ and is named $${{D'E'F}'}$$. There is also triangle $${{D''EF}}$$, which is congruent to triangle $${{DEF}}$$. Describe a sequence that would map triangle $${D'E'F}$$ onto triangle $${{D''EF}}$$.
Grade 8 Mathematics > Module 3 > Topic B > Lesson 8 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?