Describe sequences of transformations between figures using rotations and other transformations.
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Figure 1 is shown in the coordinate plane below.
Which figure(s) would Figure 1 map to if it were
Below is a picture of two rectangles with the same length and width:
Congruent Rectangles, accessed on Oct. 13, 2017, 4:01 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.Figures $${J, K, L, M, N,}$$ and $$P$$ are shown on the coordinate plane.
Part A:
Which figure can be transformed into Figure P by a translation 2 units to the right followed by a reflection across the $$x-$$axis?
a. Figure J
b. Figure K
c. Figure L
d. Figure M
Part B: Which figure can be transformed into Figure L by a 90-degree rotation clockwise about the origin followed by a translation 2 units down?
a. Figure J
b. Figure M
c. Figure N
d. Figure P
Math Spring Operational 2015 Grade 8 End of Year Released Items is made available by The Partnership for Assessment of Readiness for College and Careers (PARCC). Copyright © 2017 All Rights Reserved. Accessed Oct. 13, 2017, 4:02 p.m..
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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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Triangle $${{ABC}}$$ is rotated $${90^{\circ}}$$ clockwise around the origin.
Which of the statements below are true? Select all that apply.
a. Point $${{B'}}$$ will be located at $${(1, 4)}$$.
b. Point $${{B'}}$$ will be located at $${(4,1)}$$.
c. $$\overline{{{B'}}C'}$$ will be a vertical line.
d. $$\overline{{{B'}}C'}$$ will be parallel to $${\overline{BC}}$$.
e. The area of $$A'{{B'}}C'$$ will be greater than the area of $${{ABC}}$$, but the perimeters will be the same.
f. Both the areas and perimeters of the original and the rotated figures will be the same.
Describe how you can use transformations to show that the two figures below are congruent.
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