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2 years ago

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In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point B are (10, 6)

. Match each pair of coordinates to the corresponding point on AB.

1 answer:

Rudiy272 years ago

5 0

Diving the length AB into equal parts gives;

$D→\left (4 \:,4.5\right)$

$E→\left (5 \:,4.75\right)$

$H→\left (8 \:,5.5\right)$

$I →\left (9 \:,5.75\right)$

<h3>How can the coordinates of the points be found?</h3>

The number of equal parts obtained by counting are 8

Coordinates of point <em>A</em> is (2, 4)

Coordinates of point <em>B </em>is (10, 6)

Therefore;

Coordinates of point <em>C</em> is

$\mathbf{ \left (2 + \frac{10 - 2}{8},\: 4 + \frac{6 - 4}{8}\right) }= \left (3 \:, 4.25\right)$

Coordinates of point <em>D</em> are;

$\mathbf{\left (2 + \frac{10 - 2}{4} \: , 4 + \frac{6 - 4}{4}\right) }= \left (4 \:,4.5\right)$

Coordinates of point <em>E</em> are;

$\mathbf{\left (2 + \frac{8 \times 3}{8} \: , 4 + \frac{2 \times 3}{8}\right)} = \left (5 \:,4.75\right)$

Coordinates of point F are;

$\mathbf{\left (2 + \frac{8 \times 4}{8} \: , 4 + \frac{2 \times 4}{8}\right)} = \left (6 \:,5\right)$

Coordinates of point <em>H</em> are;

$\mathbf{\left (2 + \frac{8 \times 6}{8} \: , 4 + \frac{2 \times 6}{8}\right)} = \left (8 \:,5.5\right)$

Coordinates of point <em>I</em> are;

$\mathbf{\left (2 + \frac{8 \times 7}{8} \: , 4 + \frac{2 \times 7}{8}\right)} = \left (9 \:,5.75\right)$

Which gives;

$D→\left (4 \:,4.5\right)$

$E→\left (5 \:,4.75\right)$

$H→\left (8 \:,5.5\right)$

$I →\left (9 \:,5.75\right)$

Learn more about distance between points here;

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