ABCD is a trapezium in which AB is parallel to CD. Let M be the midpoint of BC
Consider the following statements:
1) ‘Area of triangle ADM + Area of triangle DCM’ is equal to three-fourth of the area of trapezium ABCD, if AB = CD
2) ‘Area of triangle DCM + Area of triangle ABM’ is always greater than half of the area of trapezium ABCD
Which of the above statements is/are correct?
Question 2
ABCD is a trapezium in which AB is parallel to CD. Let M be the midpoint of BC
Consider the following statements:
1) ‘Area of triangle ADM – Area of triangle ABM’ is always equal to area of triangle DCM, if AB = CD
2) Half of area of triangle ABM is equal to one-eighth of area of trapezium ABCD, if AB = CD
Which of the above statements is/are correct?
Question 3
ABCD is a parallelogram. P and R are the midpoints of DC and BC respectively. The line PR intersects the diagonal AC to Q. the distance CQ will be equal to
Question 4
Bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect each other at a point P. Which one of the following if correct?
Question 5
Let ABCD be a parallelogram. Let X and Y be the midpoints of the sides BC and AD respectively. Let M and N be the midpoints of the sides AB and CD respectively.
Consider the following statements:
1) The straight line MX cannot be parallel to YN
2) The straight lines AC, BD, XY and MN meet at a point.
Which of the above statements is/are correct?
Question 6
If each interior angle of a regular polygon is 135°, then the number of diagonals of the polygon is equal to
Question 7
If a star figure is formed by elongating the sides of a regular Hexagon, then the measure of each angle at the angular points of the star figure is
Question 8
ABCD is a parallelogram, where AB : AD = 2 : 1. One of the angles of the parallelogram is 60°. The two diagonals are in the ratio
Question 9
The area of a rhombus with side 13 cm and one diagonal 10 cm will be
Question 10
The diagonals of a trapezium are at right angles, and the slant sides, if produced, form an equilateral triangle with the greater of the two parallel sides. If the area of the trapezium is 16 square cm, then the distance between the parallel sides is
