QP w6 geo

© 2009 -2011 tutorco.com 1 Q1) How many diagonals are there in a triangle? Q2) State the name of a regular polygon of 3 sides. 4 sides 6 sides Q3) Draw a regular pentagon Q4) A polygon has 14 diagonals. Find the number of sides of the polygon. Q5) Illustrate, if possible, with a rough diagram A closed curve that is not a polygon. Q6) Fill in the blanks, so as to make the statements true (i) A rhombus is a parallelogram in which_________________ (ii)A square is a rhombus in which______________ (iii)A rhombus has all its sides of __________ equal length GEOMETRY QUADRILATERALS AND POLYGONS Geo_3_6_S © 2009 -2011 tutorco.com 2 Q7) A window frame has one diagonal longer than the other. Is the window frame a rectangle? Why or Why not? Q8) The diagonals of a quadrilateral are of lengths 6 cm and 8 cm. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral? Q9) If the diagonals of a rhombus are 12 cm and 16 cm, find the length of each side. Q10) In the given fig. RENT is a rectangle. Its diagonals meet at o. Find x, if OR= and OT= © 2009 -2011 tutorco.com 3 Q11) Fill in the following table of formulae: Polygon Perimeter Area 1. Square 2.Rectangle 3.Parallelogram 4.Rhombus 5.Quadrilateral 6.Trapezium Q12) Find the width of a rectangular plot of land; if its area is 440 sq. m. and length is 22 m. Also find its perimeter. Q13) Find the area of a parallelogram with base 5 cm and altitude 4.2 cm. © 2009 -2011 tutorco.com 4 Q14) Find the area of a rectangular plot , one side of which is 48 m and its diagonal 50 m. Q15) Find the area of a Rhombus having each side equal to 134 cm and one of whose diagonal is 24 cm. Q16) Find the degree values of unknowns x, y and z Q17) If two angles of a quadrilateral are 76° and 1 38° and the other two angles are equal, find the measure of equal angles. Q18) Two opposite angles of a parallelogram are Find the measure of each angle of the parallelogram © 2009 -2011 tutorco.com 5 Q19) Find the number of sides of a regular polygon who’s each exterior angle has measure 45°. Q20) The exterior angle of a regular polygon is one third of its interior angle. How many sides have the polygon? Q21) The sum of all of the sides of a stop sign is 96 inches. A stop sign is an octagon with all sides equal. How many inches does each side measure? Q22) If you add the number of sides that I have by the number of sides in a triangle you get 8 sides. What polygon am I? Q23) What is the length of a rectangle if the area is 12 meters square and the height is 4 meters? © 2009 -2011 tutorco.com 6 Q24) A rectangular garden 90m x 50m is divided into four equal parts by two cross-paths 3.5 m wide. Find (i) the area of cross paths (ii) the area of un-shaded portion. Q25) The length and breadth of a rectangular field are in the ratio 9:5.if the area of the field is 14580 square meters, find the cost of fencing field at a rate of $10 per meter.