Question

Consider the following statements:

I. In isosceles trapezium the diagonals are equal to each other

II. If diagonals of trapezium are equal and bisect each other then it is a parallelogram

1. Only 1
2. Only 2
3. Both 1 and 2
4. Neither 1 nor 2

Answer 1

Correct Answer - Option 1 : Only 1

Given:

Two statements are given

Concept Used:

Properties of trapezium

Calculation:

Isosceles trapezium is a trapezium having the non parallel sides equal and we know the property as well if non parallel sides are equal then th diagonals of the trapezium is also equal.

∴ Statement 1 is correct

Now, If the diagonals of trapezium are equal and bisect each other then it is a parallelogram this is not true because trapezium is having single pair of parallel line which is not necessarily equal but parallelogram have two pair of parallel line.

∴ Statement 2 is incorrect

Hence, option (1) is correct