Graph the following quadrilateral:
A(-2,-3)
B(-1,1)
C(4,-1)
D(3,-5)
Graph quadrilateral ABCD after a translation which moves point D to the origin. Label the new quadrilateral A' B' C' D'.
We cannot graph on these posts.
To graph the quadrilateral ABCD, you can plot the coordinates of each point on a coordinate plane and connect them in order. Here's how you can do it:
1. Plot point A(-2, -3) on the coordinate plane.
- Start at the origin (0, 0).
- Move 2 units left along the x-axis.
- Move 3 units down along the y-axis.
- Place a point at (-2, -3).
2. Plot point B(-1, 1) on the coordinate plane.
- Start at the origin (0, 0).
- Move 1 unit left along the x-axis.
- Move 1 unit up along the y-axis.
- Place a point at (-1, 1).
3. Plot point C(4, -1) on the coordinate plane.
- Start at the origin (0, 0).
- Move 4 units right along the x-axis.
- Move 1 unit down along the y-axis.
- Place a point at (4, -1).
4. Plot point D(3, -5) on the coordinate plane.
- Start at the origin (0, 0).
- Move 3 units right along the x-axis.
- Move 5 units down along the y-axis.
- Place a point at (3, -5).
5. Connect the points A, B, C, and D in order to form the quadrilateral ABCD.
Now, to find the new quadrilateral A'B'C'D' after a translation that moves point D to the origin, follow these steps:
1. Subtract the x-coordinate of point D from the x-coordinates of all other points to move D to the origin (0, 0).
- Subtract 3 from -2 to get -5. The new coordinate for A is (-5, -3).
- Subtract 3 from -1 to get -4. The new coordinate for B is (-4, 1).
- Subtract 3 from 4 to get 1. The new coordinate for C is (1, -1).
- Subtract 3 from 3 to get 0. The new coordinate for D is (0, -5).
2. Label the new quadrilateral A'B'C'D' with the respective coordinates:
A' (-5, -3)
B' (-4, 1)
C' (1, -1)
D' (0, -5)
3. Connect the points A', B', C', and D' in order to form the new quadrilateral A'B'C'D' on the coordinate plane.