How do you know if two chords are congruent?

How do you know if two chords are congruent?

If two chords are congruent, then their corresponding arcs are congruent. If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc. In the same circle or congruent circle, two chords are congruent if and only if they are equidistant from the center.

Are all chords congruent in a circle?

1. Chord Theorem #1: In the same circle or congruent circles, minor arcs are congruent if and only if their corresponding chords are congruent. Chord Theorem #4: In the same circle or congruent circles, two chords are congruent if and only if they are equidistant from the center.

When two chords of a circle are parallel are they intercept be congruent How about the arcs they cut off explain?

Parallel chords in the same circle always cut congruent arcs. That is, the arcs whose endpoints include one endpoint from each chord have equal measures. When congruent chords are in the same circle, they are equidistant from the center.

What is congruent chords theorem?

“q → p” If two chords are congruent in the same circle or two congruent circles, then the corresponding minor arcs are congruent. two congruent circles, then their corresponding chords are congruent.

What is the point of tangency in a circle?

A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency. If ↔PT is a tangent, then ¯OP is perpendicular to ↔PT .

How many times can two tangents lines intersect inside a circle?

A line can only intersect a circle 0, 1, or 2 times: twice for chords and secants; once for tangents.

What is ARC in math?

There are a number of meanings for the word “arc” in mathematics. In general, an arc is any smooth curve joining two points. The length of an arc is known as its arc length. In a graph, a graph arc is an ordered pair of adjacent vertices. An arc whose endpoints lie on a diameter of a circle is called a semicircle.