Geometry | Unit 7 | Lesson 3: Tangent Lines | Practice Problems

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

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

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Line PD is tangent to a circle of radius 1 inch centered at O. The length of PD is 1.2 inches. The length of AB is 1.7 inches. Which point on the circle is closest to point P?

• point A

• point B

• point C

• point D

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

• Angle BCA measures 50 degrees.

• Angle BCA measures 25 degrees.

• Angle BOA measures 50 degrees.

• The arc from B to C not passing through A measures 180 degrees.

• Angles CBO and CAO are congruent.

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

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

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The line represented by y+3=\text-3(x+6) is transformed by the rule (x,y)\rightarrow (\text-x,\text-y). What is the slope of the image?

• -3