Home
Class 11
MATHS
Given statements in (a) and (b). Identif...

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other.
(b) If a quadrilateral is a parallelogram, then its diagonals bisect each other.
(i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram.
(ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Text Solution

Verified by Experts

The correct Answer is:
(i) Contrapositive
(ii) Converse
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT TELUGU|Exercise EXERCISE 14.5|10 Videos
  • MATHEMATICAL REASONING

    NCERT TELUGU|Exercise Miscellaneous Exercise on Chapter 14|16 Videos
  • MATHEMATICAL REASONING

    NCERT TELUGU|Exercise EXERCISE 14.3|11 Videos
  • LINEAR INEQUALITIES

    NCERT TELUGU|Exercise EXERCISE (Miscellaneous Exercise on Chapter 6)|4 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT TELUGU|Exercise Miscellaneous Exercise on Chapter 7|11 Videos

Similar Questions

Explore conceptually related problems

If the diagonals of a quadrilateral bisect each other then it is a

IF the diagonals in a quadrilateral divide each other proportionally then it is…….

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other. (a) If you live in Delhi, then you have winter clothes. (i) If you do not have winter clothes, then you do not live in Delhi. (ii) If you have winter clothes, then you live in Delhi.

Show that the diagonals of a square are equal and right bisectors of each other.

Write each of the following statements in the form ''if-then'' A quadrilateral is a parallelogram if its diagonals bisect each other.

In a trapezium, diagonals divide each other……….

Show that the diagonals of a rhombus are perpendicular to each other.

Show that the line segments joining the midpoints of the opposite sides of a quadrilateral and bisect each other.

Diagonalse in a parallelogram ....... Each other .

(i) Is quadrilateral EFGH a convex quadrilateral? (ii) Is quadrilateral TUVW a concave quadrilateral? (iii) Draw both the diagonals for quadrilateral EFGH. Do they intersect each other? (iv) Draw both the diagonals for quadrilateral TUVW. Do they intersect each other?