Study guides

☆☆

Q: What is a congruent arc?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

Arcs, in the same circle or in congruent circles, that have equal measures.

A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.

Parallel lines intercept congruent arcs on a circle. More explanation: Parallel lines never interSECT but they can interCEPT Congruent arcs means that the two arcs would have the same measure of the arcs.

CPCTC or congruent

The Definition of Congruent Figures (which is a proof) says that if two figures have corresponding sides congruent and corresponding angles congruent, then the figures are to be congruent.

Related questions

BV

Arcs, in the same circle or in congruent circles, that have equal measures.

constructing a congruent angle

No.

No they are two entirely different things.

constructing congruent angles

Congruent; I think...

Arc Marks

congruent

CONGRUENT

No, they need not be.

They are congruent because they are supplemental angles

People also asked