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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Circle Terms
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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
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Congruent Circles: Circles with the same radius.
Concentric Circles: Coplanar circles with the same center.
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48° 132° 228° 312°
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Are all Circles Similar?
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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?
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Using a coordinate plane
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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