Question

Every cyclic rhombus is a square True or False ​

Answer 1

Answer:

True.

Step-by-step explanation:

Thus is because:-

In a rhombus,

Angle 1 = Angle 3 (opposite angles are equal in rhombus)

Angle 2 = Angle 4 (opposite angles are equal in rhombus)

Moreover, in cyclic quadrilateral,

Angle 1 + Angle 3 = 180 °

Therefore, Angle 1 = Angle 3 = 90°

Similarly,

Angle 2 = Angle 4 = 90°

Because, all sides are equal and each angle = 90°.

Therefore, cyclic rhombus is always a square.

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Answer 2

True, every cyclic rhombus is a square.

Step-by-step explanation:

The properties of rhombus,

∠ 1 = ∠ 3 (opposite angles are equa)

∠ 2 = ∠ 4 (opposite angles are equal)

The properties of cyclic quadrilateral,

∠ 1 + ∠ 3 = 180 °

∴ ∠ 1 = ∠ 3 = 90°

Similarly,

∠ 2 = ∠4 = 90°

∵ All sides are equal and each angle = 90°.

Thus, true, cyclic rhombus is always a square.