91Ó°ÊÓ

FRAMING Mrs. Walker has a rectangular picture that is 12 inches by 48 inches. Because this is not a standard size, a special frame must be built. What can the framer do to guarantee that the frame is a rectangle? Justify your reasoning.

EFGH is an isosceles trapezoid with bases \(\overline{E F}\) and \(\overline{G H}\) and median \(\overline{Y Z}\). If \(E F=3 x+8, G H=4 x-10,\) and \(Y Z=13,\) find \(x\).

Write a coordinate proof for each statement. The diagonals of a square are perpendicular.

COORDINATE GEOMETRY Given each set of vertices, determine whether DMNPQ is a rhombus, a rectangle, or a square. List all that apply. Explain your reasoning. $$M(0,3), N(-3,0), P(0,-3), Q(3,0)$$

Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. $$18$$

COORDINATE GEOMETRY Quadrilateral EFGH has vertices \(E(-4,-3), F(3,-1)\) \(G(2,3),\) and \(H(-5,1) .\) Determine whether \(E F G H\) is a rectangle.

Find the sum of the measures of the interior angles of each convex polygon. $$32 -gon$$

COORDINATE GEOMETRY Given each set of vertices, determine whether DMNPQ is a rhombus, a rectangle, or a square. List all that apply. Explain your reasoning. $$M(-4,0), N(-3,3), P(2,2), Q(1,-1)$$

Determine whether the figure with the given vertices is a parallelogram. Use the method indicated. $$B(0,0), C(4,1), D(6,5), E(2,4) ; \text { Slope Formula }$$

Find the sum of the measures of the interior angles of each convex polygon. $$18 -gon$$