Chord Properties
Today we will start with some vocabulary and then introduce the properties of chords.
Central Angle
What is the definition of a central angle? *hint: these are in your circle vocab notes already*
Arc Measure
What is the definition of an arc measure?
How many degrees are in a circle?
Inscribed Angle
What is the definition of an inscribed angle?
Intercepted Arc
Based on the picture above what do you think the definition of intercepted arc is?
In this lesson you will discover some properties of chords, arcs, and central angles
Chord Central Angles Conjecture: If two chords in a circle are congruent, then they determine two central angles that are ___________.
In this lesson you will discover some properties of chords, arcs, and central angles
Chord Arcs Conjecture: If two chords in a circle are congruent, then their _________________ are congruent.
What is the value of w?
Perpendicular to a Chord Conjecture: The perpendicular from the center of a circle to a chord is the ________ of the chord.
Chord Distance to Center Conjecture: Two congruent chords in a circle are ____________ from the center of the circle.
What is the value of z?
What is the value of w?
What is the value of x?
What is the value of y?
What's wrong with this picture?
What are the values of w, x, y & z?
the measure of arc AC is 130 degrees,