DE has a length of 5 cm. What is the length of the image of DE after applying the composition rx degrees R0.-270degrees?
1 answer:
Answer:
B. 5 cm
Step-by-step explanation:
We are given that,
Length of the segment DE = 5 cm
Now, the transformation applied to DE is .
That is, the segment DE is,
<em>Rotated by 270° about the origin counter-clockwise and then reflected across x-axis.</em>
It is required to find the length of the segment which is the image of DE.
Since, we know,
The only transformation which changes the measurements of the figure is 'dilation'.
Thus, rotation and reflection will not change the shape and size of the segment DE.
Hence, the length of the image of DE will be same as that of DE i.e. 5 cm.
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Now we choose an ordered pair:
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We now rewrite the equation in its standard form:
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Answer:
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or
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Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:
Substituting values:
Rewriting:
Now we choose an ordered pair:
Substituting values we have:
We now rewrite the equation in its standard form:
Where,
b: cut with the y axis.
We have then:
Answer:
point-slope form:
or
standard form