OuABCD is a quadrilateral in which all four sides are equal. Show that

1.	OuABCD is a quadrilateral in which all four sides are equal. Show that both pairs ofopposite sides are parallel.
Answer» Step-by-step EXPLANATION: Draw a rhombus ABCD , Join BD and AC In ∆ AND and ∆ BCD AD = CD ( : . given ) AB = BC ( :. given ) BD = BD ( :. common ) By SSS Congruence rule ∆ ACD ≈ ∆ ACB By CPCT , angle ACB = angle DAC These are the angles formed when the transversal AC joins AD and BC. They are alternate interior angles AD // BC AD = BC ( :. given ) Similarly we can FIND, AB // CD AB = CD

OuABCD is a quadrilateral in which all four sides are equal. Show that both pairs ofopposite sides are parallel.

Answer»

Step-by-step EXPLANATION:

Draw a rhombus ABCD ,

Join BD and AC

In ∆ AND and ∆ BCD

By SSS Congruence rule

By CPCT ,

These are the angles formed when the transversal AC joins AD and BC.

They are alternate interior angles

Similarly we can FIND,