Study the red pre-image and the associated blue dilation image. The center of dilation is (2, 2).
1 answer:
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Answer:
y=x, x-axis, y=x, y-axis
Explanation:
Reflecting the figure across three axes just moves it from one quadrant to another. It does not map the figure to itself.
Reflecting across the line y=x moves it from quadrant II to IV or vice-versa. If it is in quadrant I or III, it stays there. So the sequence of reflections x-axis (moves from I to IV), y=x (moves from IV to II), x-axis (moves from II to III), y=x (stays in III) will not map the figure to itself.
However, the last selection will map the figure to itself. The initial (and final) figure location, and the intermediate reflections are shown in the attached. The figure starts and ends as blue, is reflected across y=x to green, across x-axis to orange, across y=x to red, and finally across y-axis to blue again.
The sketches are illustrations of inequalities
- <em>The first sketch is: </em>
<em>.</em>
- <em>The second sketch is: </em>
<em />
<em />
<u />
<u>Sketch A</u>
In sketch A, we have the following observations:
- <em>The arrow faces left (this implies less than)</em>
- <em>The dots on -2 and -5 are closed dots (this implies less than or equal to).</em>
<em />
Hence, the inequality is:
<u />
<u>Sketch B</u>
In sketch B, we have the following observations:
- <em>The arrow faces right (this implies greater than)</em>
- <em>The dots on -4 and 3 are closed dots (this implies greater than or equal to).</em>
<em />
Hence, the inequality is:
Read more about inequalities at:
