U7L4 Tangent Lines

Unit 7 Lesson 3: Tangent Lines

By Maria Cruz Farooqi

Drag and Drop

o find the radius of circle O, we can use the Pythagorean Theorem. Since BA is tangent to the circle at A, OA is perpendicular to BA. This means triangle OAB is a ​

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with OA as one leg, AB as the other leg, and OB as the​

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. Given that BA = 15 and OB = 17, we can find OA, the radius, using the equation:

​

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Substituting the known values:

​

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OA² + 225 = 289‍ 

OA² = ​

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 OA=8 

Thus, the radius of circle O is 8 units.

Drag these tiles and drop them in the correct blank above

right triangle

hypotenuse

64

Multiple Choice

Find the radius r

• 2
• 3
• 4
• 5

Multiple Choice

A tangent intersects the circle at:

• One point

• Two distinct point

• Never intersects

• None of the above

Multiple Choice

In the diagram, AC is tangent to circle B, find the length of CB.

• 6
• 7
• 8
• 9

Multiple Choice

If a line is tangent to a circle, then it is ________ to the radius drawn to the point of tangency.

• parallel

• adjacent

• supplementary

• perpendicular

Multiple Choice

Using lines tangent to the circle, find the value of x.

• 57

• 137

• 47

• 257

Multiple Choice

Determine if a tangent line is shown in the picture.

• Yes

• No

• Note Sure

Multiple Choice

Which shows a tangent line?