1.7: circles...aug 18, 2015  · 5. construct a circle with radius s. with the same compass setting,...

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1.7: Circles A circle is the set of points in a plane at a given distance ( radius) from a given point (center). You name a circle by its center. The circle on the bicycle wheel with center O, is called circle O. Radius: segment from the center to a point on the edge of the circle.

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Page 1: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular

1.7: Circles

A circle is the set of points in a plane at a given distance ( radius) from a given point (center). You name a circle by its center. The circle on the bicycle wheel with center O, is called circle O. Radius: segment from the center to a point on the edge of the circle.

Page 2: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular

Circle Terms

Page 3: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular

Point on Tangency: The point where the tangent touches the circle. Example: point B, and point C.

. R

S

. . Secant: Is a line that intersects the circle twice: 𝑹𝑺

Page 4: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular

Congruent Circles: Circles with the same radius.

Concentric Circles: Coplanar circles with the same center.

Page 5: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular
Page 6: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular
Page 7: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular

48° 132° 228° 312°

Page 8: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular
Page 9: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular
Page 10: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular

Are all Circles Similar?

Page 11: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular

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?

Page 12: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular
Page 13: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular

Using a coordinate plane

Page 14: 1.7: Circles...Aug 18, 2015  · 5. Construct a Circle with radius s. With the same compass setting, divide the circle into six congruent arcs. Construct the chords to form a regular

Homework You will need a compass

On a separate sheet of paper:

Workbook 1.7: exercises 1-4, and

Math Nation (Geometry) Section 8 Videos