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.
For each of the following pairs of shapes, decide whether or not they are congruent. Explain your reasoning.
For each pair of shapes, decide whether or not Shape A is congruent to Shape B. Explain how you know.
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?
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.
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.