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Congruent Polygons: IM 8.1.12
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1. Lesson 8.1.12
- IM 8.1.12 Lesson: Congruent Polygons
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2. Practice 8.1.12
- IM 8.1.12 Practice: Congruent Polygons
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Congruent Polygons: IM 8.1.12
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 3, 2020
“Congruent Polygons” from IM Grade 8 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 8.1.12
- IM 8.1.12 Lesson: Congruent Polygons
- Practice 8.1.12
- IM 8.1.12 Practice: Congruent Polygons
IM 8.1.12 Lesson: Congruent Polygons
All of these triangles are congruent. Sometimes we can take one figure to another with a translation. Mark the triangles that are images of triangle ABC under a translation.
For each of the following pairs of shapes, decide whether or not they are congruent. Explain your reasoning.
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For each of the following pairs of shapes, decide whether or not they are congruent. Explain your reasoning.
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For each pair of shapes, decide whether or not Shape A is congruent to Shape B. Explain how you know.
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A polygon has 8 sides: five of length 1, two of length 2, and one of length 3. All sides lie on grid lines. Create a polygon with these properties.
Is there a second polygon, not congruent to your first, with these properties?
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Your teacher will give you a set of four objects. Make a quadrilateral with your four objects and record what you have made.
Compare your quadrilateral with your partner’s. Are they congruent? Explain how you know.
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Repeat steps 1 and 2, forming different quadrilaterals.
If your first quadrilaterals were not congruent, can you build a pair that is? If your first quadrilaterals were congruent, can you build a pair that is not? Explain.
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IM 8.1.12 Practice: Congruent Polygons
Show that the two pentagons are congruent.
Explain how you know.
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Find the side lengths of ABCDE and the angle measures of FGHIJ.
For each pair of shapes, decide whether or not the two shapes are congruent. Explain your reasoning.
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For each pair of shapes, decide whether or not the two shapes are congruent. Explain your reasoning.
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For each pair of shapes, decide whether or not the two shapes are congruent. Explain your reasoning.
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Draw Segment PQ.
When is rotated 180° around point , the resulting segment is the same as . Where could point be located?
Explain in words below and use the applet above to label point .
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Using rigid transformations on the trapezoid, build a pattern.
Describe some of the rigid transformations you used in the above pattern.
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