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Given the graph of trapezoid QUAD and its reflection.

Use the coordinates of the images' vertices, U and U' to algebraically find the line of reflection. In your final answer, include all of your work.

Given the graph of trapezoid QUAD and its reflection Use the coordinates of the images vertices U and U to algebraically find the line of reflection In your fin class=

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MrsStrong

Answer:

Y = -2

Step-by-step explanation:

A reflection will produce a mirror image of the shape. Both shapes will be equal distance from the line of reflection and perpendicular to it.

To find it, connect Q and Q' with a line segment. Do the same to all corresponding vertices. The line of reflection will be perpendicular to these segments. This means it is a horizontal line through the y-axis and of the form y=b.

To find the y-coordinate b, subtract the y-values of U and U' then divide by 2.

U is (1,2) and U' is (1,-6) so (2--6)/2 = 8/2=4. The line of reflection is 4 units below U and 4 units above U'. This is -2. The line of reflection is y = -2.


JeanaShupp

Answer:   [tex]y=-2[/tex]

Step-by-step explanation:

A reflection is a kind of rigid transformation where each point in a shape moves at an equal distance on the opposite side across the given line of reflection. It basically produces a mirror image of the original figure.

From the given picture, it can be seen that the coordinates of U and U'(2,0) are (1,2) and (1,-6) respectively.

Since x coordinate is same for both the coordinates.

let the coordinate for the mid point is (1,a).

Then ,[tex]a=\dfrac{-6+2}{2}=\dfrac{-4}{2}=-2[/tex]

Thus, coordinate of mid point = (1,-2)

Since each point in a shape moves at an equal distance on the opposite side across the given line of reflection, therefore we have the line of reflection = [tex]y=-2[/tex]

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