Mathematics

8th -

11thgrade

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High School Geometry - All Formulas (Detwiler)

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59 questions

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  • 1. Multiple Choice
    20 seconds
    1 pt

    Midpoint Formula

    Given points a and b on a number line.

     M(a+b2)M\left(\frac{a+b}{2}\right)  

     M(ab2)M\left(\frac{a-b}{2}\right)  

     M(a,b)M\left(a,b\right)  

     M(ba2)M\left(\frac{b-a}{2}\right)  

  • 2. Multiple Choice
    20 seconds
    1 pt

    Midpoint Formula
    On a plane with endpoints  (x1, y1)\left(x_1,\ y_1\right)  and  (x2, y2)\left(x_2,\ y_2\right)  .

     d=((x2 x1)2+(y2 y1)2)d=\sqrt{\left(\left(x_2-\ x_1\right)^2+\left(y_2-\ y_1\right)^2\right)}  

     M(x2 x1, y2 y1)M\left(x_2-\ x_1,\ y_2-\ y_1\right)  

     M(x1+x22, y1+y22)M\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)  

     M(x1x22, y1y22)M\left(\frac{x_1-x_2}{2},\ \frac{y_1-y_2}{2}\right)  

  • 3. Multiple Choice
    20 seconds
    1 pt

    Distance Formula
    On a plane with endpoints (x2, y2)\left(x_2,\ y_2\right)  and  (x2, y2)\left(x_2,\ y_2\right) .

     d=(x1y1)2+(x2y2)2d=\sqrt{\left(x_1-y_1\right)^2+\left(x_2-y_2\right)^2}  

     d=(x2y1)2+(x1y2)2d=\sqrt{\left(x_2-y_1\right)^2+\left(x_1-y_2\right)^2}  

     d=(x2+x1)2(y2+y1)2d=\sqrt{\left(x_2+x_1\right)^2-\left(y_2+y_1\right)^2}  

     d=(x2x1)2+(y2y1)2d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}  

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