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91Ó°ÊÓ

Problem 8

Find the perimeter of the polygon with the given vertices. (See Example 2.) $$\mathrm{Q}(-3,2), \mathrm{R}(1,2), \mathrm{S}(1,-2), \mathrm{T}(-3,-2)$$

Problem 8

Find the angle measure. (See Example 2.) \(\angle 3\) is a complement of \(\angle 4,\) and \(m \angle 3=46^{\circ} .\) Find \(m \angle 4 .\)

Problem 9

Find the angle measure. (See Example 2.) \(\angle 5\) is a supplement of \(\angle 6,\) and \(m \angle 5=78^{\circ} .\) Find \(m \angle 6 .\)

Problem 9

In Exercises \(9-14,\) plot the points in a coordinate plane. Then determine whether \(\overline{\mathrm{AB}}\) and \(\overline{\mathrm{CD}}\) are congruent. (See Example 2.) $$ A(-4,5), B(-4,8), C(2,-3), D(2,0) $$

Problem 10

In Exercises \(9-14,\) plot the points in a coordinate plane. Then determine whether \(\overline{\mathrm{AB}}\) and \(\overline{\mathrm{CD}}\) are congruent. (See Example 2.) $$ A(6,-1), B(1,-1), C(2,-3), D(4,-3) $$

Problem 10

Find the angle measure. (See Example 2.) \(\angle 7\) is a supplement of \(\angle 8,\) and \(m \angle 7=109^{\circ} .\) Find \(m \angle 8.\)

Problem 11

In Exercises \(9-14,\) plot the points in a coordinate plane. Then determine whether \(\overline{\mathrm{AB}}\) and \(\overline{\mathrm{CD}}\) are congruent. (See Example 2.) $$ A(8,3), B(-1,3), C(5,10), D(5,3) $$

Problem 12

In Exercises \(9-14,\) plot the points in a coordinate plane. Then determine whether \(\overline{\mathrm{AB}}\) and \(\overline{\mathrm{CD}}\) are congruent. (See Example 2.) $$ A(6,-8), B(6,1), C(7,-2), D(-2,-2) $$

Problem 13

Find the measure of each angle. (See Example 3.) \(\angle\) UVWand \(\angle\) XYZare complementary angles, \(\mathrm{m} \angle \mathrm{UVW}=(\mathrm{x}-10)^{\circ},\) and \(\mathrm{m} \angle \mathrm{XYZ}=(4 \mathrm{x}-10)^{\circ}\)

Problem 13

In Exercises \(9-14,\) plot the points in a coordinate plane. Then determine whether \(\overline{\mathrm{AB}}\) and \(\overline{\mathrm{CD}}\) are congruent. (See Example 2.) $$ A(-5,6), B(-5,-1), C(-4,3), D(3,3) $$

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