SECANT TANGENT PRODUCT THEOREM WORKSHEET

If a secant and tangent share a point then the product of the secant and external part is equal to tangent squared.

product-theorem

Problem 1 :

secant-tangent

Solution

Problem 2 :

secant-tangent-q2

Solution

Problem 3 :

secant-tangent-q3

Solution

Problem 4 :

secant-tangent-q4

Solution

Problem 5 :

secant-tangent-q5

Solution

Problem 6 :

secant-tangent-product-theoremq5

Solution

Problem 7 :

PAB is a secant and PT is a tangent to the circle from an external point. If PT = x cm, PA = 4 cm and AB = 5 cm, find x.

secant-tangent-q7

Solution

Problem 8 :

secant-tangent-product-theorem-q7

Solution

Problem 9 :

secant-tangent-product-theoremq8.png

Solution

Problem 10 :

secant-tangent-product-theoremq9.png

Solution

Answer Key

1)  x = 30

2)  x = 1.2

3)  x = 6

4)  x = 5

5)  x = 5

6)  So, the value of x is 2.

7)  x = 6

8) x = 9

9)  x = 9

10) x = 4√2

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