Exercise 17 Page 68

Practice makes perfect

We are given two identical houses.

We want to find the length of side LM. To do so, remember that two congruent figures have the same size and the same shape. This means that we can equate the corresponding sides CD and LM. CD= LM Since CD is equal to 32 feet, LM is also equal to 32 feet.

Since the two given houses are congruent, their corresponding angles have the same measure.

∠ A = ∠ J ∠ B = ∠ K ∠ C = ∠ L ∠ D = ∠ M ∠ E = ∠ N Therefore, ∠ D corresponds to ∠ M.

We know that the side AB is congruent to side AE. This means that the length of both sides is the same. The side AE is also congruent to JN, then the side length of AB will also be equal to the side length of JN.

AE =AB=JN Since JN is equal to 20 feet, AB is also equal to 20 feet. Now that we have the side length of side AB and side AE, we can find the perimeter of house ABCDE. The perimeter measures the distance around the outside of a figure. Let's find it by adding all the side lengths of the house ABCDE. P = 20 + 20 + 12 + 3 + 12 = 96 ft This means that the perimeter of the house ABCDE is 96 feet.

Subchapter links

Try It p.64-65

Self-Assessment for Concepts & Skills p.65

Self-Assessment for Problem Solving p.66

Review & Refresh p.67

Concepts, Skills, & Problem Solving p.67-68

Exercise 17 Page 68

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