Are the diagonals of an isosceles trapezium congruent?

Open in App

Solution

Yes, in an isosceles trapezium the two diagonals are congruent and the reverse is also true i.e if in a trapezium if two diagonals are congruent,then the trapezoid is isosceles.

Suggest Corrections

Similar questions

Q. The diagonals of an isosceles trapezium are

Prove that the diagonals of an isosceles trapezium are equal.

Q. Prove that: Base angles of an isosceles trapezium are congruent.

Q. Diagonals of an isosceles trapezium _____ .

State, true or false :
(i) Two similar polygons are necessarily congruent.
(ii) Two congruent polygons are necessarily similar.
(iii) All equiangular triangles are similar.
(iv) All isosceles triangles are similar.
(v) Two isosceles-right triangles are similar.
(vi) Two isosceles triangles are similar if an angle of one is congruent to the corresponding angle of the other.
(vii) The diagonals of a trapezium divide each other into proportional segments.

Join BYJU'S Learning Program