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7 Terms

1
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proof by completing the square

7d pure 1 q 9

x = 0 and see what the max / min value is

2
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how to complete the square of compound equations (i.e., smth in front of the quadratic)

divide the whole equation by the integer in front of the quadratic, complete the square, then multiply the integer in again

here

3
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how do you prove the shape using coordinates?

find the gradient between the points

4
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how to prove 3 points are the vertices of a right angled triangle?

  1. find gradients of each line segment

  2. a right angled triangle will have ;

    • different line segment gradients (because they’re not collinear)

    • two line segments that are perpendicular, which can be proved by multiplying for -1 (negative reciprocal)

5
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what’s the difference between a rhombus and parallelogram?

6
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how to prove a line is a tangent to a circle

idk how to find gradient of a circle

7
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