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.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problems 1 and 2 (can be done independently). Find more guidance on adapting our math curriculum for remote learning here.
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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 Fishtank Learning, 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 Fishtank Learning, Inc.?