Use the image to answer the question

Question

A coordinate plane with 4 quadrants ranges from negative 7 to 7 in unit increments on both the x and y axes. Eight points are plotted and labeled from upper A to upper H. The plotted points are as follows: In quadrant 1, point upper H is shown at 1 increment on the x-axis and 4 increments on the y-axis. Point upper A is shown at 4 increments on the x-axis and 1 increment on the y-axis. In quadrant 2, point upper G is shown at negative 1 increment on the x-axis and 4 increments on the y-axis. Point upper F is shown at negative 4 increments on the x-axis and 1 increment on the y-axis. In quadrant 3, point upper E is shown at negative 4 increments on the x-axis and negative 1 increment on the y-axis. Point upper D is shown at negative 1 increment on the x-axis and negative 4 increments on the y-axis. In quadrant 4, point upper C is shown at 1 increment on the x-axis and negative 4 increments on the y-axis. Point upper B is shown at 4 points on the x-axis and negative 1 increment on the y-axis.

Point A is the original point before rotating. Which point represents A' after A(4, 1) is rotated 90 degrees counterclockwise: B, C, D, E, F, G, or H?

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Answer 1

To rotate point A (4, 1) 90 degrees counterclockwise, we can apply the following transformation to the coordinates:

If a point is represented by (x, y), after a 90-degree counterclockwise rotation, the new coordinates will be given by (-y, x).

For the point A (4, 1):

• x = 4
• y = 1

Transforming the coordinates:

• A' = (-y, x) = (-1, 4)

Now we need to identify which point corresponds to the coordinates (-1, 4).

Looking at the described locations:

• Point G is plotted at (-1, 4).

Thus, the point that represents A' after A(4, 1) is rotated 90 degrees counterclockwise is point G.

Answer 2

Drag and drop the words into the correct locations.

By analyzing the ____ of a paragraph, you will see how the author develops and refines key concepts. A ____ is an important topic for the reader to understand. Some sentences may ____, or add information to the concept. Others may ____, or clarify it

develop, key concept, refine, structure