IM 8.1.13 Lesson: Congruence
Trapezoids ABCD and A'B'C'D' are congruent. Draw and label the points on A'B'C'D' that correspond to E and F. Draw and label the points on ABCD that correspond to G' and H'. Draw and label at least three more pairs of corresponding points.
Are any of the ovals congruent to one another? Explain how you know.
[img]data:image/png;base64,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[/img][br]
You can use 12 toothpicks to create a polygon with an area of five square toothpicks, like this: Can you use exactly 12 toothpicks to create a polygon with an area of four square toothpicks?
[img]data:image/png;base64,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[/img][br]
Here are two congruent shapes with some corresponding points labeled.
Draw the points corresponding to [math]B[/math], [math]D[/math], and [math]E[/math], and label them [math]B'[/math], [math]D'[/math], and [math]E'[/math].[br][br]Draw line segments [math]AD[/math] and [math]A'D'[/math] and measure them. Do the same for segments [math]BC[/math] and [math]B'C'[/math] and for segments [math]AE[/math] and [math]A'E'[/math]. What do you notice?
Do you think there could be a pair of corresponding segments with different lengths? Explain.
Are these faces congruent? Explain your reasoning.
IM 8.1.13 Practice: Congruence
Which of these four figures are congruent to the top figure?
[img]data:image/png;base64,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[/img]
These two figures are congruent, with corresponding points marked.
Are angles [math]ABC[/math] and [math]A'B'C'[/math] congruent?
Explain your reasoning.
Measure angles [math]ABC[/math] and [math]A'B'C'[/math] to check your answer.
Here are two figures. Show, using measurement, that these two figures are not congruent.
Each picture shows two polygons, one labeled Polygon A and one labeled Polygon B.
Describe how to move Polygon A into the position of Polygon B using a transformation.
Describe how to move Polygon A into the position of Polygon B using a transformation.
Describe how to move Polygon A into the position of Polygon B using a transformation.