91Ó°ÊÓ

Critical Thinking Determine whether each statement is true or false. If true, explain your reasoning. If false, show a counterexample. a. If two triangles are congruent, their perimeters are equal. b. If two triangles have the same perimeter, they are congruent.

Write an equation in slope-intercept form of the line with the given slope that passes through the given point. $$m=-3,(0,4)$$

Algebra \(\triangle X Y Z\) is an equilateral triangle in which \(X Y=2 x+2\), \(Y Z=x+7\), and \(X Z=4 x-8\). Find the measure of each side. (Lesson 5-1)

Write an equation in slope-intercept form of the line with the given slope that passes through the given point. $$m=0,(0,-2)$$

Write an equation in slope-intercept form of the line with the given slope that passes through the given point. $$m=-2,(-2,1)$$

Find the slope of the lines passing through each pair of points. (Lesson 4-5) $$(5,7),(4,5)$$

Short Response If \(m \angle R=45\), classify \(\angle R\) as acute, right, or obtuse. (Lesson 3-2)

Find the slope of the lines passing through each pair of points. (Lesson 4-5) $$(8,4),(-2,4)$$

Find the slope of the lines passing through each pair of points. (Lesson 4-5) $$(5,-2),(5,1)$$

Sports In the Olympic ski-jumping competition, the skier tries to make the angle between his body and the front of his skis as small as possible. If a skier is aligned so that the front of his skis makes a \(20^{\circ}\) angle with his body, what angle is formed by the tail of the skis and his body? (Lesson 3-5)