With respect to the diagram, which relationship is false if ∠FEA is supplementary to ∠HGD?
1 answer:
The statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:
A. measure of angle FEB + measure of angle HGD = 180°
<h3>What are Supplementary Angles?</h3>By definition, supplementary angles are two angles that have a sum of 180 degrees when added together, that is, one is a supplement of the other.
Given the image below, we know the following:
Since angle FEA is supplementary to angle FEA would be congruent to angle HGC, and angle HGD is congruent to angle FEB. This is because, the supplement of angle
angle FEA + angle FEB - angle FEA + angle HGD = 180° - 180°. Therefore,
angle FEB = angle HGD.
In summary, from the options given, the statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:
A. measure of angle FEB + measure of angle HGD = 180°
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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.
