Unit 1, Lesson 11: What is the Same?

1. If two rectangles have the same perimeter, do they ne

eter, do they have to be congruent? Explain how yo

rectangles that have the same area, but are not congruen

3. For each pair of shapes, decide whether or not it appears that the two shapes are

your reasoning.

Step-by-step explanation:

1. 2 rectangles can have the same perimeter but not congruent.

For example a rectangle of width 3 and length 4 has a perimeter of 2 (3) + 2 (4) = 14 cms. Another of length 5 and width 2 would also have a perimeter of 14 cms., but they are not congruent.

2. 2 rectangles having the same area but not congruent would be one with length 4 and width 3 (with area = 12), and another with length 6 and width 2 (area = 12). They are not congruent because the lengths and widths are different.