Figure Imno is a Parallelogram What is the Value of x 8 10 13 20

Name Key 61-6.4.Quiz Review... Know the definitions for the following terms: Class Date • Parallelogram a quad, w/ both pairs of opposite sides paralled . Rhombus - a parallelogram with 4 congruent sides Trapezoid a quadrilateral with exactly one pair of parallel sides Isosceles trapezoid- a trapezoid whose nonparallel sides are congruent Square - a parallelogrom with four right angles and 4 congruent sides Rectangle-a parallelogram with 4 right angles. Kite-a quad with two pairs of adjacent sides congruent and no opposites. Consecutive angles-angles of a polygon that shore a side and add to 180° Find the measure of the numbered angles for each parallelogram. 1. 110 2 3/ 21-180-110-70° 22=110° 23-180-110-70° 2. For the parallelogram, if Angle 26y+4 and Angle 43y + 37, find m43. 2 3 22-24 L2=6(11)+4=70° 6y+4=3y+37 24=3(11)+37=70° 3y-33 m3=180°-70°=110° 3 3. ( 4x+80) (4y+8) Gx+60-180 4x+80+2x-20-180 6x=120 (2x-20) x=20 Find the values of the variables for which cach figure is a parallelogram. ° 2x-20-4y784. 38-3/2x+7 3x+4 2(20)-20-4y+8 40-20-44+8 20-47+8 12=4y Y=3 Find the values of the variables. 5. 8x12 8x-12=4x -12=-4x 4y+9=7y-3 -3y=-12 y=41 4y 7y-1 x-3 3x+4=2y 7x-3=2x+7 3(2)+4=24 6+4-24 52x=10 10-24 y=5 x=2 6. LMNO is a parallelogram. If NM=x+6 and OL=2x+3 find the value of x and then find NM X+6=2x+3 and OL. 0 N -2=-3 1x+6 x=3 2x+ M Judging by appearance, classify ench quadrilateral in as many ways as possible. 7. Trapezoid Isosceles Trapezoid 8. Rectangle Parallelogram 9. Square Rhombus Rectangle Parallelogrom 10. Kite Find the values of the variables. Then find the lengths of the sides of each quadrilateral. 11. Rhombus ABDC 02m+8N ON-219)+8-26 LM-3(9)-1-26 5m-2 OL=42+1=43 NM=5(9)-2-43 12. Parallelogram LONM A 2x-3 B 2x-3=x+4 18-x 3x-10 1x=7 2m+8=3m-1 -m--9 5+1 C x+4 AB=2(7)-3-(11 D BD-3(7)-1011 3m-1 M CD=7+4=11 AC=18-711 Find the value of x in each parallelogram. 13. 14. 10 2x-4=10 4x-4 2x=14 2x-4 x=7 6x-22 m=91 S+1=5m-2 5+1-5(9)-2 5+1=43 S=42 6x-22=4x-4 2x=18 x=9 Find the values of x and y for which the figure must be a parallelogram. 16. M 4x + 20 A 7y 6x+9 3x=6 x=2 4x+20=X+26 7y=6x+9 74=12+9 7y=21 x+26 V=3 17. P 15. IK-35 4x+3 L K 4x+3+4x+3=35 6x+6=35 M 8x=29 X=3.625 (12y+8) 2x=12y+8 15y+2y2x=120+8 A 2x=128 12y+8+5x+2=180 x=64 Find the value of x. Then tell whether the figure must be a parallelogram. 18 . (+ 30) 30+30 1609 (3x-15) 3/30)-15 (2x+25) 2(30)+25+85° RX2(30)60 Пу+10=180 ΠΥ=170 N=10 3x-23(8)-2=22 (x+4= 8+4 (12) 19. 2x-4 218)-4 (12 2x+6 75 X+30=2x Not a parallelogram -X 30=X 2 b/c opposite angles are not. 3x-2=2x+6 x=8 218256 (22) Parallelogram since both msitersieles