Question

Chang used a coordinate plane to show where his posters are displayed on his bedroom wall. Three posters are located at E(5, 3), F(–4, 3), and G(–4, 5). Use absolute values of coordinates to find the distances between points E and F, and between points G and F. Enter your answers in the boxes.

Answer 1

|EF|=9 Units

|GF|=2 Units

Explanation:

To use absolute values of coordinates to find the distances between points, follow these steps

• Determine which coordinate have the same value

• Examine the other coordinate and determine if they are in the same quadrant

• If the points are in the same quadrant, subtract the absolute values of the two numbers

• If the points are in different quadrants, add the absolute values of the two numbers

|EF|

E(5, 3), F(–4, 3)

The y-coordinate have the same value (3).

The other coordinate, 5 and -4 are in different quadrant, so we add.

|EF|=|5|+|-4|=9 Units

|GF|

F(–4, 3), G(–4, 5).

The x-coordinate have the same value (-4).

The other coordinates, 3 and 5 are in the same quadrant, so we subtract.

|GF|=|5|-|3|=2 Units