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The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Inscribed angles that intercept the same arc are congruent.

An inscribed angle in a circle is formed by two chords that have a common end point on the circle. This common end point is the vertex of the angle. Here, the circle with center O has the inscribed angle ∠ABC. The other end points than the vertex, A and C define the intercepted arc ⌢AC of the circle.

The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure. The central angle that subtends the same arc, however, has the same measure as such arc. Therefore, an inscribed angle is half the measure of the corresponding central angle.

"If a right triangle is inscribed in a circle, then its hypotenuse is a diameter of the circle. If one side of a triangle inscribed in a circle is a diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle."

Corollary (Inscribed Angles Conjecture III ): Any angle inscribed in a semi-circle is a right angle. Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.

0:41 2:24 Inscribed Angles - MathHelp.com - Geometry Help - YouTube YouTube Start of suggested clip End of suggested clip Since we're given that the two parts of this arc measure 95.MoreSince we're given that the two parts of this arc measure 95.

3. Chord Theorem #3: If a diameter is perpendicular to a chord, then the diameter bisects the chord and its corresponding arc.

This theorem states that: The measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc. OR. An inscribed angle is half of a central angle that subtends the same arc.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Inscribed angles that intercept the same arc are congruent.

An inscribed angle in a circle is formed by two chords that have a common end point on the circle. This common end point is the vertex of the angle. Here, the circle with center O has the inscribed angle ∠ABC. The other end points than the vertex, A and C define the intercepted arc ⌢AC of the circle.

The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure. The central angle that subtends the same arc, however, has the same measure as such arc. Therefore, an inscribed angle is half the measure of the corresponding central angle.

"If a right triangle is inscribed in a circle, then its hypotenuse is a diameter of the circle. If one side of a triangle inscribed in a circle is a diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle."

Corollary (Inscribed Angles Conjecture III ): Any angle inscribed in a semi-circle is a right angle. Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.

0:41 2:24 Inscribed Angles - MathHelp.com - Geometry Help - YouTube YouTube Start of suggested clip End of suggested clip Since we're given that the two parts of this arc measure 95.MoreSince we're given that the two parts of this arc measure 95.

3. Chord Theorem #3: If a diameter is perpendicular to a chord, then the diameter bisects the chord and its corresponding arc.

This theorem states that: The measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc. OR. An inscribed angle is half of a central angle that subtends the same arc.