Learning Resources
Lesson
We are now going to apply our knowledge of coordinate geometry to prove some of the properties about tangents that we discovered in the previous lessons. We will follow the method presented in your text on page 248 for this part of the lesson. You will need graph paper and a set of compasses.
Go to your text book and work through the guided Focus on page 248. If you run into difficulty with any of the steps, some hints and suggestions are provided. Try not to go to them unless you absolutely have to.
- For hints and comments on Step A click here.
- For hints and comments on Step B click here.
- For hints and comments on Step C click here.
- For hints and comments on Step F click here.
- For hints and comments on Steps G & H click here.
Activity
- If you have not already done so, complete Focus G on page 248 in your text.
- Do the CYU Questions 59 - 64, 67, 70 on pages 249 - 251.
When you have completed these questions, ask your on-site teacher to get the solutions for you from the Teacher's Resource Binder and check them against your answers. After you do this, if there is something you had trouble with and still do not understand, contact your on-line teacher for help.
Test Yourself
Segment AB touches the circle with centre O(-2 , 4) at point A(3 , 7). The coordinates of B are (7 , 0). From the diagram, it looks like AB might be a tangent to the circle. Prove either that AB is or is not a tangent.
