Please solve it question no.6 to 17

Please solve it question no.6 to 17 Exercise 4.2 1) What is the perimeter of a parallelogram, if its two adjacent sides measure 8 cm and 6 cm respect' vely? 2) The perimeter of a parallelogram is 24 cm, Its adjacent sides are in the ratio 2. Find the dimensions of the parallelogram. 3) ABCD is a parallelogram. where AB is longer than by 8 crrn If the perimeter is 40 cm, what is the length of each Side? 4) If one angle of a parallelogram IS 40'. what the measures of the other angles? 5) One angle of a parallelogram is 30' more than Its adjacent angle. Hc»." much does each measure? 6) A table with measurements for quadrilateral ABCD given here Change values in any 1 or 2 rows to make the measures correct for a 12) 13) Draw a parallelogram ABCD From O drop a perpendicular to AB to meet it at E. Cut out the triangle DAE. Place it on the other side. so that O falls on C and DA on CB, What figure do you get? What do you conclude? PQRS is an isosceles trapezium Fig. Q(13) where PQ II SR and PS = QR. PS and QR are extended to meet at O. Prove that SO RO. Fig. Q(13) 14) In the trapezium ABCD Fig Q(14). BE drawn to cut DC at E such that AD = BE Prove that LADE = LBCE. parallelogram. AB (cm' BC (crn) ZA3C LCDA ,ZDAB 5.s 8 145' 155 BSc ' 100' 90 100' 7) AB and DC are two equal and parallel lines. Show that DA and CB are also equal and parallel. 8) ABCD is a parallelogram. P and Q are the midpoints of AB and DC, If P and Q are joined, prove that APQD is a parallelogram, 9) PQRS is a parallelogram. Show that the diagonal PR divides the parallelogram into two congruent triangles. 10) In the same parallelogram as in the above question, if diagonal QS is also drawn, prove that triangle ROS is congruent to triangle POQ where O is the point of intersection of the diagonals. 11) Draw a parallelogram ABCD with AB 5 crn, ZA = 60', AD = 4 cm. IS this information enough to construct the figure? why? 15) 16) 17) 18) 19) Fig. Q(14) ABCD is a rectangle. Diagonals AC and BD intersect at O. Prove that AABC and ABAD are congruent. The adjacent sides of a rectangle are in the ratio 2 : 3 and its perimeter is 80 cm long. Find the measure of its sides, ABCD is a rectangle where diagonals AC and BD intersect at O. Prove that triangles AOB and COD are congruent. Construct a rectangle with adjacent sides of length 4.5 cm and 5.5 cm. Can you draw a rectangle, one side of which is 4 cm and one diagonal S cm Fig. Q(19)? What is the theorem you will apply here? Fig. Q(19) D