Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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'( , )

Sagot :

MrRoyal

Answer:

[tex]A" =(-1,-1)[/tex]    [tex]B" =(-2,1)[/tex]

[tex]C" =(-4,1)[/tex]    [tex]D" =(-5,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,1)[/tex]        [tex]B =(2,3)[/tex]

[tex]C = (4,3)[/tex]        [tex]D = (5,1)[/tex]

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:

[tex](x,y)=>(-x,y)[/tex]

So:

[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex]

[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex]

[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex]

[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex]

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

[tex](x,y) => (x,y-2)[/tex]

So:

[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex] [tex]=> A" =(-1,-1)[/tex]

[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex] [tex]=> B" =(-2,1)[/tex]

[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex][tex]=> C" =(-4,1)[/tex]

[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex] [tex]=> D" =(-5,-1)[/tex]

So, the new coordinates are:

[tex]A" =(-1,-1)[/tex]    [tex]B" =(-2,1)[/tex]

[tex]C" =(-4,1)[/tex]    [tex]D" =(-5,-1)[/tex]

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.