Congruent Arcs

Q. Find the value of $x$ in the given figure if $\angle AOB={70}^{\circ }$ and $AB=CD.$

1. ${40}^{\circ }$
2. ${70}^{\circ }$
3. ${60}^{\circ }$
4. ${80}^{\circ }$

Q. In a circle with centre O, AB and CD are two arcs such that $\angle AOB={75}^{\circ }$. If arc AB is 3 times of CD, then $\angle COD$ is ${25}^{\circ }$.

1. True
2. False

Q.

In the given figure, what is the measurement of YXZ?

1. 90°

2. 144°

3. 42°

4. 75°

Q. Which of the following term/terms determine the congruency of arcs?

1. measure of arc
2. radius
3. angle subtended by arcs
4. None of the above.

Q. In the figure, chords AB and PQ are equal, angle $\angle AOB=55°$ and $\angle POQ=x,$ then find the measure of $x$.​

1. 
   $35°$
2. 
   $155°$
3. 
   $55°$
4. 
   $125°$

Q. The sector corresponding to the arc congruent to arc(AB) is

1. 
2. 
3. 
4. 

Q. In the adjoining figure, O is the centre of the circle whose radius is MN. Measures of some central angles are given. If the measure of the Arc AB is 'a' units and that of Arc CD is 'b' units, then which of the following options is correct.

1. a = b
2. a > b
3. None of the above
4. a < b

Q. The two arcs, arc AB and arc EF are congruent.

1. False
2. True

Q.

Two points on the circumference of the circle result in the formation of two arcs. The arc of greater length is called __ arc.

1. minor

Q. Find the value of $x$ in the given figure if $\angle AOB={70}^{\circ }$ and $AB=CD.$
[1 Mark]