The (2x,2y) column data is: A'=(-2,-6), B'=(-2,2), C'=(10,2) and D'=(10,-6). See the sketch of the (x,y) column and the (2x, 2y) column in the image 5.
Cartesian Graph
The Cartesian graph presents x-axis (horizontal) and y-axis (vertical) that intercept in the origin (0,0). This type of graph is used to plot x and y coordinates.
The points, in the plane, are represented as (x,y).
Hence for your question:
A=(-1,-3) ⇒ -1 is x-coordinate and -3 is y-coordinate.
B=(-1,1) ⇒ -1 is x-coordinate and 1 is y-coordinate.
C=(5,1) ⇒ 5 is x-coordinate and 1 is y-coordinate.
D=(5,-3) ⇒ 5 is x-coordinate and -3 is y-coordinate.
For solving this question, you should plot the given points on a Cartesian graph.
- Step 1 - Draw the Cartesian axes
The result of this step you can see in the image 1.
- Step 2 - Plot the points (x,y) column on the Cartesian graph created in the previous step.
The result of this step you can see in the image 2.
- Step 3 - Join the (x,y) column points .
The result of this step you can see in the image 3. Now you see a rectangle.
- Step 4 - Find the points for the (2x, 2y) column.
Thus, you should multiply x-coordinate and y-coordinate by 2.
A=(-1,-3) ⇒ A'=(-2,-6)
B=(-1,1) ⇒ B'=(-2,2)
C=(5,1) ⇒ C'=(10,2)
D=(5,-3) ⇒ D'=(10,-6)
- Step 5 - Plot the (2x, 2y) column points, found in the previous step, on the Cartesian graph, .
The result of this step you can see in the image 4.
- Step 6 - Join the (2x, 2y) column points .
The result of this step you can see in the image 5. Now you see a new red rectangle with dimensions greater than the black rectangle plotted from (x,y) column.
Read more about point coordinates here:
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