Describe a sequence of rigid transformations that will map one figure onto another.
?
?
?
?
?
Triangle $${{ABC}}$$ has been moved according to the following sequence: a translation followed by a rotation followed by a reflection.
With precision, describe each rigid motion that would map triangle $${{ABC}}$$ onto triangle $${A'B'C'}$$.
Grade 8 Mathematics > Module 2 > Topic B > Lesson 10 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.Avik believes that Figure 1 and Figure 2, shown below, are congruent because he can use two reflections to map one figure to the other.
Sonya also believes the two figures are congruent because she can use a single rotation to map one figure to the other.
Are both Avik and Sonya right? Explain with precision the transformation(s) that will show the two figures are congruent.
Rectangle $${{ABCD}}$$ and $${{A'B'C'D'}}$$ are shown below.
Which sequence of transformations show that rectangle $${{ABCD}}$$ and rectangle $${{A'B'C'D'}}$$ are congruent? Select all that apply.
?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
?
The two triangles in the picture below are congruent:
a. Give a sequence of rotations, translations, and/or reflections that take $${\triangle PRQ}$$ to $${\triangle ABC}$$.
b. Is it possible to show the congruence in part (a) using only translations and rotations? Explain.
Congruent Triangles, accessed on Oct. 13, 2017, 4:04 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.
?