University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2019
Views:

230

Pages:

2
Author:

5prinzg1s

8.3 Worksheet Proving Parallelograms Name Date Period Determine if each quadrilateral is a parallelogram. Explain why or why it does not work. 1) 2) 152 3) 100 28 70 No-don't have both NO Yes-clienganh bisested 4) Yev one par Hond 5) 115 65 6) 7) 40 8) 34 3 2 4 2 65 115 deg / 40% aleph C NO Find the value of x and y that ensure each quadrilateral is a parallelogram. in-both pura // 9) 10) 30 5 11) 2 Bx 45 30° 60 X = plus/minus 3 x ^ 2 = 9 5x ^ 2 = 45 8x = 3x + 5 SX = 5 12) 13) 14) ( x = 0 171 48 111 17) 15) 18) 4x - 1 9x - 31 = 4x - 1 4x = 3c x = 6 x - 1 = x + 5 16) 17x = 204 c - c + 12x - 14 =15c| x = 12 19) 3x -11^ ) +5 3x - 11 = x + 5 x = x x = 5 20) 4x = 10 x = 3 x + 5 = 3x + 17 6x=186 x = ri 5x - 7 + x + 1 = 150 (5x - 7) deg 7x + 5 Q_{x} = IM x = 20 3x + 17 3x ^ 2 = 48 x ^ 3 = 12 x = underline + (x + 1) ^ * 3x + 5 (12x - 14) ^ + / (3x + 50) * y 4 * x deg x + 5 (d = 12) ny = 46 (5x - 10) deg x = k 5 * x deg Q = 30 2x - 1 9x - 31 (5x ^ 2) 60 ^ 8 100 deg / 3x ^ 2 Draw a picture of each quadrilateral, to determine if it is a parallelogram by one of the following reasons. Be able to explain your selection. a) Opposite sides congruent. b) Opposite angles congruent. c) Diagonals bisect each other. d) One pair of opposite sides is both parallel and congruent. e) Both pairs of opposite sides are parallel. 21) In quadrilateral BLOT, overline BL overline TO m angle BT*O_{1} = B * 0 deg and m angle LOT = 100 deg e 30 22) In quadrilateral JOKE, overline JO equiv overline EK , m angle OJE = 65 deg , and m angle JEK = 115 deg . 119/ d 23) In quadrilateral SLOW, overline SL equiv overline LO equiv overline OW equiv overline SW a 24) In quadrilateral MOAT, overline MA Intersects overline OT R, overline MR cong overline RA , and overline TR equiv overline OR C 25) In quadrilateral CRAB, m angle RCB = 60 deg m angle CBA = 120 deg and m angle CRA = 120 deg . b A Show that the following figure is a parallelogram. 26) 4(-2.-3), B(0.5), C(6.5) D(4.-3) (65) 27) 0.4(- 3, - 4) B(- 1, 2) C(7.0), D(S.-6) Slige AD コーロ h A- What theorem can you use to show that the quadrilateral is a parallelogram? (See top of page) 28) 10 29) 3.6 3.6 30) 98 73 31) 5 163 deg 98 5 10 d C 73 a