Multiple Choice
In a right triangle, if one of the acute angles measures , what is the measure of the other acute angle?
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2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
Which of the following best describes the difference between a and a in a ?
A
A is a line segment with both endpoints on the , while a touches the at only one point.
B
A is a line that touches a at exactly one point, while a is a line segment with both endpoints on the .
C
A passes through the center of the , while a never passes through the center.
D
A is always longer than any in the .
Verified step by step guidance1
Step 1: Understand the definitions of the terms involved. A chord in a circle is a line segment with both endpoints lying on the circle.
Step 2: Recognize that a tangent to a circle is a line that touches the circle at exactly one point, called the point of tangency.
Step 3: Note the key difference: a chord has two endpoints on the circle, while a tangent touches the circle at only one point and extends infinitely in both directions.
Step 4: Recall that a tangent does not pass through the interior of the circle, whereas a chord lies entirely inside the circle except for its endpoints.
Step 5: Use these definitions to evaluate the given options and identify the correct description of the difference between a tangent and a chord.
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