Unit 7 Review

Find the sum of the measures of the interior angles and the sum of the measures of the exterior angles of the polygon (in that order). Show all work.

• 1800, 1440

• 1440, 1440

• 1440, 360

• 1800, 360

Find the value of x. Show all work.

• x=326

• x=146

• x=720

• x=1080

The sume of the measures of the interior angles of a convex polygon is 1620 degress. How many sides does the polygon have?

• n=11

• n=7

• n=9

• n=8

Find the indicated measure in parallelogram ABCD. Explain your reasoning. Show all work.

• 6, 55, 135

• -6, 125, 55

• -6, 55, 125

• 10, 55, 125

Find the indicated measure in parallelogram STUV, in the order listed.

• 98.2, 98.2, 127, 53, 98.2, 53

• 102.15, 98.2, 127, 127, 196.4, 53

• 100, 98.2, 127, 127, 204.3, 53

• 102.15, 98.2, 53, 53, 196.4, 127

Find the values of x and y that make the quadrilateral a paralleogram.

• x = 11, y = 19

• x = 19, y = 11

• x = 5, y = 39

• x = 11, y = 39

Show that the quadrilateral with vertices B (-5,5), D (5,7), F (6,1), H (-4, 1) is a parallelogram. Explain your reasoning.

• Find the midpoint of the diagonals. (1/2, 3)

• Find the distance of the sides. BD = 10.5, DF = 3.5, HF = 10.5, BH = 3.5.

• Find each side is parallel by finding the slopes. Slope for BD and HF is 3 and slope for DF and BH 1/4.

• Not enough information.

Classify the special quadrilateral. Explain your reasoning.

• Square, because all four sides are congruent.

• Only a parallelogram because all four sides are congruent.

• Rhombus, because all four sides are congruent.

• Not enough information.

Classify the special quadrilateral. Explain your reasoning.

• Rectangle, because diagonals are the same length.

• Only a parallelogram, because the diagonals are bisecting.

• Square, because diagonals are the same length.

• Not enough information.

Classify the special quadrilateral. Explain your reasoning.

• Rectangle, because two diagonal angles are 90 degrees.

• Square, because all four sides are the same and two diagonal angles are 90 degrees.

• Only a parallelogram because it has four congruent sides.

• Not enough information.