circles
example a chord is a line segment connecting two points on the circle.
$ \overline { a b }, \overline { c d }, \overline { e f } $, and $ \overline { g h } $ are all chords.
if a chord passes through the center of the circle it is a diameter.
$ \overline { e f } $ and $ \overline { g h } $ are diameters.
a radius connects the circles center to the circle.
$ \overline { o e }, \overline { o f }, \overline { o g }, \overline { o h } $, and $ \overline { o x } $ are all radii.
a tangent is a line that touches a circle in exactly one point.
it does not intersect the circle.
$ \ell _ { 1 } $ and $ \ell _ { 2 } $ are tangents.
directions name each as radius, diameter, chord, or tangent.
1. $ \overline { a p } $
2. $ \overline { o p } $
3. $ \ell _ { 1 } $
4. $ \overline { g d } $
5. $ \overline { g t } $
6. $ \overline { c d } $
7. $ \overline { g a } $
8. $ \overline { m n } $
9. $ \overline { g c } $
10. $ \ell _ { 2 } $

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# Brief Explanations:
1. $\overline{AP}$: A chord connects two points on the circle. $\overline{AP}$ connects two points $A$ and $P$ on the circle.
2. $\overline{OP}$: A radius connects the center of the circle to a point on the circle. $G$ is the center, and $P$ is on the circle.
3. $\ell_{1}$: A tangent touches the circle at exactly one point.
4. $\overline{GD}$: A chord connects two points on the circle. $\overline{GD}$ connects two points $G$ and $D$ on the circle.
5. $\overline{GT}$: A diameter is a chord passing through the center. $\overline{GT}$ passes through the center $G$.
6. $\overline{CD}$: A chord connects two points on the circle. $\overline{CD}$ connects two points $C$ and $D$ on the circle.
7. $\overline{GA}$: A radius connects the center of the circle to a point on the circle. $G$ is the center, and $A$ is on the circle.
8. $\overline{MN}$: A chord connects two points on the circle. $\overline{MN}$ connects two points $M$ and $N$ on the circle.
9. $\overline{GC}$: A radius connects the center of the circle to a point on the circle. $G$ is the center, and $C$ is on the circle.
10. $\ell_{2}$: A tangent touches the circle at exactly one point.

# Answer:
1. chord
2. radius
3. tangent
4. chord
5. diameter
6. chord
7. radius
8. chord
9. radius
10. tangent

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