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.
Close

Information: IM 8.1.13 Lesson: Congruence