Question

Segment PQ is a tangent to circle R and S. Analyze quadrilateral PQSR to determine the value of PQ to the nearest tenth. Cite evidence to support your response.

Answer 1

Similar triangles.

Answer 2

H

Answer 3

How do you know that's 10?

Answer 4

Add the radii.

Answer 5

Ohh.

Answer 6

You extend the segments PQ and RS as I showed above until they intersect.
Then you have two similar right triangles.
With a proportion of corresponding sides you can find x.

Answer 7

x = 6.67?

Answer 8

Once you know x, you can use the Pythagorean theorem to find QT and PT.
Then PQ = PT - QT

Answer 9

How did you get x = 6.67?
What proportion did you use?

Answer 10

6/4 = 10/x?

Answer 11

That proportion is not correct.

Answer 12

6/4 = 10+x/x?