Multiple Choice
In a right triangle, if one of the acute angles measures , what is the measure of the other acute angle?
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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