Mid-Point of a Line (Grade 10 NSC Matric Mathematics): Quizzes

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Mid-Point of a Line
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What does the mid-point of a line segment represent?

The point exactly halfway between endpoints

What is the mid-point formula for points (x1;y1)(x_1; y_1) and (x2;y2)(x_2; y_2)?

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

Find the mid-point of the line between A(6; 2) and B(-5; -1).

M(½; ½)

What does the mid-point formula calculate?

The arithmetic mean of the coordinates

If C(-2; 4) and D have mid-point M(1; -3), find the x-coordinate of D.

x=4x = 4

What is the first step when solving mid-point problems?

Draw a sketch

What property do parallelogram diagonals have?

They bisect each other at same mid-point

Calculate the mid-point between E(2; 1) and G(-2; -2).

F(0; -½)

What should you be especially careful with when using the formula?

Negative signs when adding coordinates

If C(-2; 4) and D have mid-point M(1; -3), find the y-coordinate of D.

y=−10y = -10

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