Quadrilateral A'B'C'D' is a reflection of Quadrilateral ABCD over the y-axis What is the length of C'D'

Mathematics

2 answers:

DerKrebs [107]3 years ago

5 0

Answer:

4 units

Step-by-step explanation:

a reflection is a rigid transformation, meaning that the size and shape of the figure does not change. therefore, the length of C'D' will be the same as the length of CD.

Length of CD: 4 units

so,

C'D'=4units

MArishka [77]3 years ago

4 0

Answer:

C'D' = 4

Step-by-step explanation:

When the figure is reflected, the length of the segments does not change.

CD = 4 so C'D' = 4

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Rainbow [258]

Answer:

$y=-4x+2$

Step-by-step explanation:

First we find the slope of the line AB passing through the point (2,0)
line AB is perpendicular to the line $y=\frac{1}{4}x-3$ , this equation is slope intercept for, which is $y=mx+b$ so our m or slope is $\frac{1}{4}$
Since the slope of line AB is perpendicular to $m=\frac{1}{4}$ then we use the equation $slope of line1\times slopeofline2=-1$ , so what do we multiply $\frac{1}{4}$ by to get -1? -4 right, so that's the slope of line AB with the point (2,0)
Now line CD is parallel to line AB, that means it has the same slope as AB, so slope of CD is -4
So we make the equation $y-y_1=m(x-x_1)$ so m= -4 and our point is (-1,6)
$y-(6)=-4(x-(-1)\\y-6=-4x-4\\y=-4x-4+6\\y=-4x+2$ thats the equation of line side CD