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Geometry

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(d)Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.

The top is Tangent

The red line is Diameter

I'm not sure on the rest

May 10, 2018

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A chord is any line segment that has endpoints on the circle.

On the diagram,  $$\color{gray}\overline{AC}$$  is a chord and  $$\color{limegreen}\overline{BD}$$  is a chord.

A tangent line is a line that touches the circle at exactly one point.

On the diagram, the top line is a tangent line.

A radius is a line segment that has one endpoint on the circle and one endpoint at the circle's center.

All points on a circle are the same distance away from the center. That distance is the radius's length.

On the diagram, the red line segment is a radius.

A secant is a line that passes through the circle, touching the circle at two points.

On the diagram, the blue line is a secant line.

Remember that a tangent line is a line that touches the circle at exactly one point.

Its point of tangency is that point.

On the diagram, the yellow point is a point of tangency.

A diameter is a chord that goes through the center of the circle.

On the diagram,  $$\color{limegreen}\overline{BD}$$  is a diameter.

An example of a minor arc is   $$\stackrel{\,\frown}{AB}$$

An example of a major arc is   $$\stackrel{\,\frown}{ADB}$$

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May 10, 2018
edited by hectictar  May 10, 2018