Question

Which polygons are congruent?

A. Two squares. One square has a side labeled 10 centimeters. The other square has one side labeled 5 centimeters.
Image with alt text: Two squares. One square has a side labeled 10 centimeters. The other square has one side labeled 5 centimeters.

B. Two trapezoids showing the same side congruency markings and angle measures. The top, left, and right side of the trapezoids are marked congruent. The two angles are top are both 100 degrees for both trapezoids. The two angles on the bottom are 80 degrees for both trapezoids.
Image with alt text: Two trapezoids showing the same side congruency markings and angle measures. The top, left, and right side of the trapezoids are marked congruent. The two angles are top are both 100 degrees for both trapezoids. The two angles on the bottom are 80 degrees for both trapezoids.

C. Two quadrilaterals A B C D and E F G H. The first quadrilateral has angle measures of 75 degrees, 100 degrees, 82 degrees, and 103 degrees in that order clockwise. The second quadrilateral has angle measures of 100 degrees, 103 degrees, 75 degrees, and 82 degrees in that order clockwise.
Image with alt text: Two quadrilaterals A B C D and E F G H. The first quadrilateral has angle measures of 75 degrees, 100 degrees, 82 degrees, and 103 degrees in that order clockwise. The second quadrilateral has angle measures of 100 degrees, 103 degrees, 75 degrees, and 82 degrees in that order clockwise.

D. Two quadrilaterals. The first quadrilateral A B C D has 4 ninety degree angles. All the sides of the quadrilateral are marked congruent. One side is labeled 5 cm. The second quadrilateral E F G H has angle measuring 100 degrees, 80 degrees, 100 degrees, and 80 degrees in that order. All the sides are marked congruent. One side is labeled 5 cm.
E. Image with alt text: Two quadrilaterals. The first quadrilateral A B C D has 4 ninety degree angles. All the sides of the quadrilateral are marked congruent. One side is labeled 5 cm. The second quadrilateral E F G H has angle measuring 100 degrees, 80 degrees, 100 degrees, and 80 degrees in that order. All the sides are marked congruent. One side is labeled 5 cm.
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Answer 1

Perimeter and area are two important and fundamental mathematical topics. They help you to quantify physical space and also provide a foundation for more advanced mathematics found in algebra, trigonometry, and calculus. Perimeter is a measurement of the distance around a shape and area that gives us an idea of how much surface the shape covers. The perimeter of a two-dimensional shape is the distance around the shape. You can think of wrapping a string around a triangle. The length of this string would be the perimeter of the triangle. Or walking around the outside of a park, you walk the distance of the park’s perimeter. Some people find it useful to think of “peRIMeter” because the edge of an object is its rim and peRIMeter has the word “rim” in it.




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