Question

Which one of the following statements is NOT true about angles and arcs formed on a circle and inside a circle?

A) Inscribed angles subtended by the same arc or congruent arc are equal.

B) An inscribed angle subtended by a semi circle is right angle.

C)The opposite angles of a cyclic quadrilateral arc supplementary.

D)The measure of a central angle is equal to half of the measure of its intercepted arc.

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Answer 1

Answer:

c the opposite angles of a cyclic quadrilateral arcsupplementary

Answer 2

The measure of a central angle is equal to twice of the measure of its intercepted arc.

So that, Option D is not true.

• Inscribed angles subtended by the same arc are equal. If a pair of arcs in the same circle are congruent, their inscribed angles are equal.

• Any angle inscribed in a semi-circle is a right angle.

• A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every corner of the quadrilateral must touch the circumference of the circle. The opposite angles in a cyclic quadrilateral add up to 180°.

• The measure of a central angle is equal to twice of the measure of its intercepted arc.

So that, option D is not true.

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