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What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all. A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. –5–4–3–2–112345 A'( , ), B'( , ), C'( , ), D'( , )

User MrBlue
by
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1 Answer

3 votes

Answer:


A
B


C
D

Explanation:

Given


A = (1,1)
B =(2,3)


C = (4,3)
D = (5,1)

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:


(x,y)=>(-x,y)

So:


A = (1,1)
=> A' = (-1,1)


B =(2,3)
=> B' = (-2,3)


C = (4,3)
=> C' = (-4,3)


D = (5,1)
=> D' = (-5,1)

When a point is translated 2 units down, the rule is:


(x,y) => (x,y-2)

So:


A = (1,1)
=> A' = (-1,1)
=> A


B =(2,3)
=> B' = (-2,3)
=> B


C = (4,3)
=> C' = (-4,3)
=> C


D = (5,1)
=> D' = (-5,1)
=> D

So, the new coordinates are:


A
B


C
D

User Pedro Bernardes
by
7.9k points

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