Question

If the diagonal of a quadrilateral divides it into two isosceles right triangles,
name the quadrilateral. State any two other properties of this quadrilateral.​

Answer 1

Step-by-step explanation:

A diagonal of a parallelogram divides it into two congruent triangles and we know congruent figures have equal area.

∴ Such a quadrilateral will be a parallelogram.

Hence, the answer is a parallelogram.

Answer 2

If the diagonal of a quadrilateral divides it into two isosceles right triangles then the quadrilateral is a Square.

A square is a type of quadrilateral with four sides and four angles. Properties of this quadrilateral i.e. square are written as follows:

• All four sides of a square are equal and all angles of a square are also equal i.e. 90°.

• Opposite sides of a square are equal as well as parallel.

• Diagonals of a square are equal.

• Diagonals of a square bisect each other at 90°.

• Diagonals of a square bisect the angles also.

Therefore, if the diagonal of a quadrilateral divides it into two isosceles right triangles then the quadrilateral is a Square.

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