Christy wants to plant a flower garden in her backyard. If the flower garden is going to be a rectangle, where should Christy place the last corner?

Question

A first quadrant coordinate plane with 3 points connected. The first point is 1 comma 1. The second point is 4 comma 1. The third point is 4 comma 5.

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(0, 5)
(2, 3)
(1, 4)
(1, 5)

Answer 1

To find the last corner of Christy's rectangular flower garden, we first identify the given points:

1. Point A: (1, 1)
2. Point B: (4, 1)
3. Point C: (4, 5)

These points form three corners of a rectangle. To find the fourth corner (let's denote it as point D), we note that in a rectangle, opposite corners share the same y-coordinates or x-coordinates.

The coordinates of the existing points indicate:

• Points A and B share the same y-coordinate (y = 1).
• Points B and C share the same x-coordinate (x = 4).

Thus, to find point D, we look for the coordinates which will share properties with one of the existing points. The fourth corner must be at the same x-coordinate as point A (x = 1) and the same y-coordinate as point C (y = 5).

This gives us the coordinates for point D:

Point D: (1, 5)

Therefore, Christy should place the last corner of her rectangular garden at (1, 5).