A First Look at Angles

Instructions

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The Questions YOU need to answer

  1. What is the measure of the angle ABC when A=(20,40), B=(100,100) and C=(50,160)?

  2. Find some co-ordinates that form a right angle.

  3. Find co-ords that form a straight angle.

  4. Find co-ords that form a 45 degree angle.

  5. Find the co-ords that make a vertical angle to the angle you made with question 1, 2 or question 4.

  6. Can you find a "formula" to generate the co-ords of the vertical angle?

    (Hint: Keep point B the same. Now you need to change A and C. You want to extend the line, so notice how x and y change from your original point A to point B. Apply the same change to B and see where the new A should be. Do the same for C. Check your work by making sure the new angle measures the same as the old. )

    Click here for more hints

  7. Use the formula to find the co-ords of the vertical angle of angle ABC when A=(20,60), B=(100,100), C=(50,125).

    Hint:If you did this correctly, the orginal angle and the new angle should measure the same)

Click here to go to the Angle Page

Click here to go to The Elements

Click here if you have time

Send me e-mail (cct@ktb.net)