Secants, Tangents, and Angles Answers
Analyze the diagram below and complete the instructions that follow. Find the measures of angles 1 and 2. If necessary, round to the tenths place. Hint: Do not assume that Point D is the center of the circle.
Analyze the diagram below and complete the instructions that follow. Given the figure, find the measures of angles 1 and 2.
Analyze the diagram below and complete the instructions that follow. Chords and intersect to form . Chord intersects tangent to form . Find and . If necessary, round to the tenths place.
Analyze the diagram below and complete the instructions that follow. The figure shows two secants, and , intersecting to form an angle. Find . If necessary, round to the tenths place.
Analyze the diagram below and complete the instructions that follow. In , tangent and chord intersect to form . Find .
Analyze the diagram below and complete the instructions that follow. If = 58° and = 74°, find .
Analyze the diagram below and complete the instructions that follow. Chord intersects tangent to form . Find .
When two lines intersect outside a circle to form , the general formula for the measure of is , where x and y are the intercepted arcs. This formula can be used when two secants form . Describe two other situations to which this formula can apply.
Responses may vary but should include some or all of the following information:The three situations that the formula can be applied to include two secants intersecting the circle, a secant and a tangent intersecting the circle, and two tangents intersecting the circle. All three types of situations contain two lines intersecting to form an angle, as well as two intercepted arcs.
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