=? ?

If two chords in a circle are congruent, then they determine two central angles that are congruent.

Part 2Chord Central Angle Conjecture:

Chord Arcs Conjecture:

If two chords in a circle are congruent, then their intercepted arcs are congruent.

Perpendicular to a Chord Conjecture:

The perpendicular from the center of a circle to a chord is thebisectorof the chord.

≡

Chord Distance to Center Conjecture:

=

Two congruent chords in a circle areequidistantfrom the center of the circle

? ?

Perpendicular bisector of a Chord Conjecture:

The perpendicular bisector of a chordpasses through the center of the circle.

𝑨𝑫 ≅ 𝑪𝑩

How are 𝒎 𝑨𝑫 𝒂𝒏𝒅𝒎 𝑪𝑩?

More practice

Are all Circles Similar?

A sequence of transformations that would always work to establish two circles to be similar would be a translation from one center to the other. This would form two concentric circles (circles with the same center). Once the circles share a common center then from that center point we could perform a dilation.

Are all Circles Similar?

Using a coordinate plane

Homework:Online Assignment Module 15, Part 2