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Unit 10 Review 1) Complete the table. Polygon Sum of interior angles If regular, measure of each interior angle If regular, measure of each exterior angle Sum of exterior angles n-gon decagon 140 1080 60 pentagon 162 2) Two of the interior angles of an octagon are 126° & 146°. The other six angles are congruent. What is the measure of one of the 6 congruent angles? 3) Find x. 110 140 85 2X 130 125 4) Find the measure of an exterior angle of a regular decagon 5) WXYZ is a parallelogram. Find each measure. Y WV = X 3y-7 x+8 5x WY = 2y V Z W XZ = VX = 6) Using parallelogram STAR, find each value. S T (2y-20) 7x 2x+15 (3y+10) R A X= Y= TA = m<A = Use Rectangle RSTU for 7 & 8. S R 1 X 2 U T 7) If m<1 = 54°, find m<2. 8) If XT = 2x-3 and US = 32, find x. 9) Complete the following statements with either always, sometimes, or never. A) A rectangle is ________________ a parallelogram. B) A parallelogram is ________________ a rhombus. C) A square is ___________________ a rhombus. D) A square is ___________________ a rectangle. E) A rhombus is __________________ a square. F) A rhombus is __________________ a rectangle. G) A rectangle is _________________ a quadrilateral. H) A rectangle is ____________________ a square. 10 ) Give the best classification for the following figure. Justify your Y 12 answer. 11 10 (-5,2),(-5,6)(-1,6),(2,1) 9 8 7 6 5 4 3 2 1 -12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1-10 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 11) ABCD is a ______________. What is it’s perimeter? A(-3,5), B(2, 7), C(4, 2), D(-1, 0) 12 11 10 9 8 7 6 5 4 3 2 1 -12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1-10 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 X 1 2 3 4 5 6 7 8 9 10 11 12 Y X 1 2 3 4 5 6 7 8 9 10 11 12 12) ABCD is a parallelogram. Give the coordinates of the point where Y 12 the diagonals intersect. 11 10 9 A(12, 0), B(4, 0), C(-4, 10), D(4, 10) 8 7 6 5 4 3 2 1 -12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1-10 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 X 1 2 3 4 5 6 7 8 9 10 11 12 13) Trapezoid ABCD is given. If the bases are segments AB and CD, find the length of the midsegment parallel to these two bases. Y A(-2, -3), B(10, -3), C(6, 4), D(2, 4) 12 11 10 9 8 7 6 5 4 3 2 1 -12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1-10 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 X 1 2 3 4 5 6 7 8 9 10 11 12 Quadrilaterals: Property Both pair of opposite sides are congruent All 4 sides are congruent Both pairs of opposite sides are parallel Both pair of opposite angles are congruent Only 1 pair of opposite angles are congruent 2 pair of consecutive sides are congruent All 4 angles are right Diagonals bisect each other Diagonals are congruent Diagonals are perpendicular Consecutive angles are supplementary Only 1 pair of parallel sides Sum of the interior angle measures is 360 Diagonals bisect opposite angles Parallelogram Rectangle Rhombus Square Trapezoid Kite Isosceles Trapezoid