Unit 7, Lesson 7

Tangent Lines

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Integrated Math 2

Practice

Problem 1

Line is tangent to a circle with diameter . Explain why the measure of angle must equal the measure of angle .

<p>Circle. Diameter A B drawn. Point C lies on circle, creating triangle A B C. Point D lies above the circle, between points C and B. Segment A D and D B drawn. <br>
</p>

Practice

Problem 2

Line is perpendicular to the circle centered at with radius 1 unit. The length of is 1.5 units. Find the length of segment .

<p>Circle center O with points B and C on circle. Line A C tangent to circle, segment labeled 1 point 5. Segment A O drawn, passing through B. Triangle A O C drawn.<br>
</p>

Problem 3

Technology required. Line is tangent to a circle of radius 1 unit centered at . The length of is 1.2 units. The length of is 1.7 units. Which point on the circle is closest to point ?

point
point

Problem 4

ForLesson 6: Inscribed Angles

The arc from to not passing through measures 50 degrees. Select all the true statements.

<p>Circle, center O. Points A, B and C lie on circle. Angles A O B and A C B.<br>
</p>

Angle measures 50 degrees.

Problem 5

ForLesson 6: Inscribed Angles

Chords and intersect at point . List 3 pairs of angles that must be congruent.

<p>Circle. Points A, B, C and D lie on cirlce. Chords A C and B D intersect at point E. Angles A D B, B C A, C E D and D E A.<br>
</p>

Problem 6

ForLesson 5: Lines, Angles, and Curves

The image shows a circle with diameters and . Prove that chords and (not drawn) are congruent.

<p>Circle with center E. Diameters A C and B D are drawn.</p>

Problem 7

ForLesson 3: Completing the Square

Select the center of the circle represented by the equation .

point

Angle measures 25 degrees.

Angle measures 50 degrees.

The arc from to not passing through measures 180 degrees.

Angles and are congruent.

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Tangent Lines

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7