Question

# If two chords are congruent then their respective arcs are_____________.

- Congruent
- Not equal
- According to situation
- None of these

Hint:

### A circle is a two- dimensional figure which is made up of dots which are in a fixed distance from each other. In a circle we have radius, diameter, chord, sector and segment. It is a closed figure with no corner and no sides. Chord is a line segment joining any two points on the boundary of the circle. Here, we have to fill the blank space.

## The correct answer is: Congruent

### In the question it is given that If two chords are congruent then their respective arcs are_____________.

Here, we have to fill the blank.

In a circle if two chords are congruent then their respective arcs will be congruent to each other.

So, if two chords are congruent then their respective arcs are congruent.

Therefore, the correct option is a, i.e., congruent.

Two figures are said to be congruent if they are identical to each other or they superimpose on each other completely. In a circle two chords will be congruent only if their lengths are equal.

### Related Questions to study

### The measure of an inscribed angle is _____________ the measure of its intercepted arc

Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.

### The measure of an inscribed angle is _____________ the measure of its intercepted arc

Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.

### If two inscribed angles of a circle intercept ____________ Arc, the angles are congruent

### If two inscribed angles of a circle intercept ____________ Arc, the angles are congruent

### The line which intersects the circle at one point is called_____________

### The line which intersects the circle at one point is called_____________

### If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the _____________ of the measures of the intercepted arcs.

Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.

### If a tangent and secant, two tangents or two secants intersect outside a circle, then the measure of the angle is one half the _____________ of the measures of the intercepted arcs.

### Inscribed angle is half the measure of its _____________.

### Inscribed angle is half the measure of its _____________.

### If two chords intersect inside a circle, then the measure of each angle is one half the _____________ of the measures of the arcs intercepted by the angle and its vertical angle.

Vertical angles are a pair of opposite angles which are formed when two lines intersect with each other.

Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.

### If two chords intersect inside a circle, then the measure of each angle is one half the _____________ of the measures of the arcs intercepted by the angle and its vertical angle.

Vertical angles are a pair of opposite angles which are formed when two lines intersect with each other.

Intercepted arc is a part of the circle’s circumference which is formed when two lines passes through the circle and meet at a point inside the circle. The angle formed at the point of intersection is called inscribed angle.