What is the value of x and y?
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Check the first picture. Our goal is to map <span>EFHG to E′F′H′G′.
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All choices involve a rotation by 90° or 270°<span> counterclockwise about the origin.
consider a rotation </span>by 90° counterclockwise. Each point P(a, b) can be rotated 90° cwise about the origin to form P"(a",b") :
by drawing the right angle POP", such that |PO|=|OP"|.
or by plotting each P"(a",b") so that (a",b")=(-b, a)
for example if G(3, 1) is mapped to G(-1, 3) by either of the procedures described.
check picture 2.
EFHG is mapped to E′'F'′H'′G′'.
In order to map E′'F'′H'′G′' to E'F′H'G′, we need to translate the figure 1 unit right.
Answer:
"<span>A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right</span>"
</span>
All choices involve a rotation by 90° or 270°<span> counterclockwise about the origin.
consider a rotation </span>by 90° counterclockwise. Each point P(a, b) can be rotated 90° cwise about the origin to form P"(a",b") :
by drawing the right angle POP", such that |PO|=|OP"|.
or by plotting each P"(a",b") so that (a",b")=(-b, a)
for example if G(3, 1) is mapped to G(-1, 3) by either of the procedures described.
check picture 2.
EFHG is mapped to E′'F'′H'′G′'.
In order to map E′'F'′H'′G′' to E'F′H'G′, we need to translate the figure 1 unit right.
Answer:
"<span>A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right</span>"