Question

Henry counted units to find the distance between two points. For which pair of points could he have done this ? Select all that apply.

Answer 1

Options:

(–3, 5) and (–2, 5)         (–3, 5) and (–9, 3)

(5, 3) and (9, 3)             (5, –9) and (3, –5)

(2, 3) and (7, 3)

Answer:

(–3, 5) and (–2, 5)

(5, 3) and (9, 3)

(2, 3) and (7, 3)

Step-by-step explanation:

To do this, have to compare the both x and both y coordinates of the points.

If the x coordinates are equal or the y coordinates are equal, then that option is true

For (a): (-3,5) and (-2,5)

The y coordinates are the same:

i.e.

$y_1 = y_2 = 5$

This option is true

For (b): (-3, 5) and (-9, 3)

None of the coordinates are the same;

i.e.

$x_1 \ne x_2$

$y_1 \ne y_2$

Hence, this option is false.

For (c): (5, 3) and (9, 3)

The y coordinates are the same:

i.e.

$y_1 = y_2 = 3$

This option is true

For (d): (5, -9) and (3, -5)

None of the coordinates are the same;

i.e.

$x_1 \ne x_2$

$y_1 \ne y_2$

Hence, this option is false.

(2, 3) and (7, 3)

The y coordinates are the same:

i.e.

$y_1 = y_2 = 3$

This option is true