Consider the following statements:I. In isosceles trapezium the diagon

1.	Consider the following statements:I. In isosceles trapezium the diagonals are equal to each otherII. If diagonals of trapezium are equal and bisect each other then it is a parallelogram1. Only 12. Only 23. Both 1 and 24. Neither 1 nor 2
Answer» 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

Consider the following statements:I. In isosceles trapezium the diagonals are equal to each otherII. If diagonals of trapezium are equal and bisect each other then it is a parallelogram1. Only 12. Only 23. Both 1 and 24. Neither 1 nor 2

Answer» 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

Discussion

No Comment Found

Related InterviewSolutions

In ΔXYZ, if G is the centroid and XL is the median with length 18 cm, then the length XG is:1. 12 cm2. 10 cm3. 14 cm4. 16 cm
Which of the following statements is false?1. All equilateral triangles are similar2. All 30° – 60° – 90° triangles are similar3. All 45° – 45° – 90° triangles are similar4. All isosceles triangles are similar
If the angles of a triangle are in the ratio 4 : 5 : 6, find the value of the smallest angle?A. 36°B. 48°C. 12°D. 24°1. B2. D3. A4. C
The perimeter of a rectangle whose one side measure 20 m and the diagonal is 29 m (a) 82 m (b) 78 cm (c) 98 m (d) 88 m
In an isosceles right-angled triangle, the perimeter is 30 m. Find its area (Approximate)1. 38.63 m22. 40 m23. 39.60 m24. 37.86 m2
If any one of the angles of the isosceles triangle is the right angle then the square of longest side will be?1. Twice to shorter side2. Half of shorter side3. Equal to shorter side4. None of these
If angles of a triangle are in a ratio of 2 : 3 : 4, then find the greatest angle.1. 60°2. 80°3. 90°4. 120°
The angles of a triangle are in the ratio of 3 : 4 : 8. The triangle is1. obtuse angled2. right angled3. acute angled4. isosceles
Find the distance of the point (-13, 4) from the equation of the line 20x + 21y + 2 = 0?1. 4 unit 2. 5 unit 3. 6 unit4. 7 unit
Find the angle between given lines:y – √3x = 2 and \(\frac{1}{{\surd 3}}\)x – y = –4 1. 0° 2. 30° 3. 45° 4. 60° 5. None of the above/ More than one of the above.