Using Chords

Using Chords

Learning Target(s):

•  I can understand angles formed by chords, secants, and tangents.
  

Success Criteria:

• I can identify angles and arcs determined by chords, secants, and tangents.

• I can find angle measures and arc measures involving chords, secants, and tangents.

• I can use circumscribed angles to solve problems.

Poll

Rate your level of understanding of mathematical theorems involving Chords on a scale of 1-4

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Congruent Corresponding Chords Theorem

Theorem 10.6​
In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

Fill in the Blanks

Find the measure of Arc FG

If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

Perpendicular Chord Bisector Theorem

If one chord of a circle is a perpendicular bisector of another chord, then the first chord is a diameter.

Perpendicular Chord Bisector Theorem Converse

Fill in the Blanks

Find the measure of line segment KH

Fill in the Blanks

Find the measure of arc HLK

Draw

Draw where the cell tower should be located. Use the example in your notes to help.

Equidistant Chords Theorem

In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center
In the image: EF=EG

Fill in the Blanks

Find the radius of Circle E

Poll

Rate your level of understanding of mathematical theorems involving Chords on a scale of 1-4

• 1

• 2

• 3

• 4