Just need to know how to solve for image of point?!?! Step by step or something!?!?! Thank you!!!!!!!!
The image of point (10,-14) under a reflection in point P is (-20,-20). What is the image of point (18,-14) under the same translation?
The image of point (10,-14) under a reflection in point P is (-20,-20). What is the image of point (18,-14) under the same translation?
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For a reflection through the point (x,y), the conditions required are:
10 -x = (-20 - x) = x - (-20) and -14 -y = - (20 -y) = y - 20.
This makes the x distance from the reflection point equal to minus the x distance from the reflection point (distance itself is always positive and equal to the absolute value of any difference between coordinates). The same is true for the y distances: the sign must reverse.
In this case, from the equation for x:
2x = 10 - 20 and x = -5.
From the equation with y in it:
2y = -14 + 20 = 6 and y = 3.
From the above explanation, you should be able to find the same reflection "transformation" (or "operation") for the point (18, -14) using the reflection point found above.
Don't use the word "translation" to describe such reflections, as that word means something entirely different from reflection operations.
.
10 -x = (-20 - x) = x - (-20) and -14 -y = - (20 -y) = y - 20.
This makes the x distance from the reflection point equal to minus the x distance from the reflection point (distance itself is always positive and equal to the absolute value of any difference between coordinates). The same is true for the y distances: the sign must reverse.
In this case, from the equation for x:
2x = 10 - 20 and x = -5.
From the equation with y in it:
2y = -14 + 20 = 6 and y = 3.
From the above explanation, you should be able to find the same reflection "transformation" (or "operation") for the point (18, -14) using the reflection point found above.
Don't use the word "translation" to describe such reflections, as that word means something entirely different from reflection operations.
.