Standardized Test Practice

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Standardized Test Practice EXAMPLE 4 Standardized Test Practice SOLUTION By Theorem 9.3, the rotation is an isometry, so corresponding side lengths are equal. Then 2x = 6, so x = 3. Now set up an equation to solve for y. 3x + 1 5y = Substitute 3 for x. 5y = 3(3) + 1 Corresponding lengths in an isometry are equal. = y 2 Solve for y. The correct answer is B.

6. Find the value of r in the rotation of the triangle. GUIDED PRACTICE for Example 4 6. Find the value of r in the rotation of the triangle. SOLUTION By Theorem 9.3, the rotation is an isometry, so corresponding side lengths are equal. Then 2s = 12, so s = 6. Now set up an equation to solve for r. 2s + 3 3r = Corresponding lengths in an isometry are equal. 2(6) + 3 3r = Substitute 6 for s. r = 5 Simplify. The correct answer is B.