What is the missing coordinate that would make the following shape a rectangle? (4,8),(12,8),(12,16)?
Edit
we need something else with y = 16
and with x = 4
so
(4,16)
DRAW IT !!!!!!!!
Is (7,9) correct?
Two of the vertices of a rectangle are (1, -6) and (-8, -6). If the rectangle has a perimeter of 26 units, what are the coordinates of its other two vertices?
To determine the missing coordinate that would make the shape a rectangle, we need to find the fourth point that would complete the rectangle.
A rectangle is a four-sided polygon with opposite sides that are equal in length and four right angles.
Given the coordinates (4,8), (12,8), and (12,16), we can use the properties of a rectangle to find the missing coordinate.
Since the opposite sides of a rectangle are equal in length, we can determine the length of one side by calculating the distance between two of the given points. Let's calculate the length of the side between (4,8) and (12,8):
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Distance = √[(12 - 4)^2 + (8 - 8)^2]
Distance = √[(8)^2 + (0)^2]
Distance = √[64 + 0]
Distance = √64
Distance = 8
So, we know that the length of one side of the rectangle is 8 units.
Now, let's determine the length of the other side. We can calculate the distance between (12,8) and (12,16):
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Distance = √[(12 - 12)^2 + (16 - 8)^2]
Distance = √[(0)^2 + (8)^2]
Distance = √[0 + 64]
Distance = √64
Distance = 8
We see that the other side of the rectangle is also 8 units in length.
Since we know that opposite sides of a rectangle are equal in length, the missing coordinate must have the same y-coordinate as the point (4,8) and the same x-coordinate as the point (12,16).
Therefore, the missing coordinate that would make the shape a rectangle is (4,16).