Page 1: Congruent Chords and Arcs Fundamentals

This page introduces key concepts about congruent chords and their relationships within circles, featuring multiple practice problems focused on finding chord lengths and arc measures.

Definition: Two chords are considered congruent if and only if their corresponding arcs are congruent and they are equidistant from the center of the circle.

Highlight: When a diameter or radius is perpendicular to a chord, it bisects both the chord and its corresponding arc.

Example: Problem 1 demonstrates finding x when 7x + 24 = 115, resulting in x = 13, showing how to solve algebraic equations in geometric contexts.

Vocabulary: Congruent chords are segments of equal length within a circle that create equal arc measures.

The page includes several practice problems involving algebraic expressions and geometric relationships, helping students develop skills in both areas simultaneously.