1 / 5

Coordinate geometry

Coordinate geometry.

adsila
Download Presentation

Coordinate geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Coordinate geometry This is a new topic. It is all about lines on a number plane. This is a more in depth study of the straight line we met in the functions topic. We will look at distance, midpoint, gradient, equations of lines, parallel and perpendicular lines, the intersection of lines and perpendicular distance. All but the last portion should have been seen by you in the past. The HSC has had one whole section of the exam (10%) dedicated to this topic as well as other topics using methods learnt in this topic.

  2. C A B D y x Distance Lengths parallel to the axes are calculated as if it was a number line. Examples 1) Calculate the length of AB. 3 – –2 = 5u 2) Calculate the length of CD. 4 – –3 = 7u

  3. y (x2, y2) y2 y1 (x1, y1) (x2, y1) x x1 x2 Distance • To calculate the length of a sloping line: • Draw a right angled triangle (y2y1) • Calculate the horizontal length (x2x1) • Calculate the vertical length • Use Pythagoras’ theorem If you forget this formula or forget how to apply it, just use Pythagoras’ theorem instead.

  4. Example 1 Calculate the distance between the points E(2, 5) and F(–4, 1). Does it matter which point is (x1, y1) or (x2, y2)? NO, either point can be!!! I would let the point with negative values be (x1, y1). If you need an exact answer, make sure you simplify any surds. If the question does not specify how it wants the answer, give an exact answer. Remember to show the units, normally “u” in this style of question

  5. Today’s work Exercise 7.1 Page 272 Q 1→3, parts a and c Q 8, 10 & 14

More Related