The document discusses two theorems about circles: the Tangent Theorem which states that a tangent line is perpendicular to the radius and tangent segments from an external point are congruent. It also discusses the Tangent Chord Theorem which says the angle between a tangent and chord is equal to the inscribed angle on the opposite side of the chord. It then provides two geometry problems - one asking to find the value of x where a tangent meets a circle, and another asking to find the measures of two angles.

1. 1

2. .Q
.P
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3. Tangent Theorem:
­ a tangent to a circle is perpendicular to
the radius at the point of tangency.
­ the tangent segments to a circle from any
external point are congruent.
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4. A
Find the value of x.
5 10
O
x P
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6. Tangent Chord Theorem:
­ The angle between a tangent and a chord
is equal to the inscribed angle on the
opposite side of the chord.
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7. B Find the measure
2 of angles 1 and 2
A 1 .
O
E
o
64
o
71 C
D
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