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AssignmentMultiple Select

Central Angles

Question 1 • *CR CCSS Math 2 S2 [M2960OX]

Move point B to various locations on the circle, and measure the angles that are formed.Make a conjecture. What relationship exists between the radius and tangent?The angles formed by the intersection of the radius and tangent are right angles.The angles formed by the intersection of the radius and tangent measure 90°.The tangent is perpendicular to the radius.

Answer
A
The angles formed by the intersection of the radius and tangent are right angles.
B
The angles formed by the intersection of the radius and tangent measure 90°.
C
The tangent is perpendicular to the radius.

Explanation

A radius drawn to the point where a tangent touches a circle is perpendicular to the tangent. Perpendicular lines form right angles, and each right angle measures 90°. Therefore, all three statements describe the same relationship: the radius and tangent meet at a right angle.

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