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layah2k00
04.01.2020 •
Mathematics
Which of the steps will cause the rectangle to map onto itself?
a. reflect across the y-axis, then shift 6 units right
b. reflect across the y-axis, then shift 7 units right
c. reflect across the y-axis, then shift 9 units right
d. reflect across the y-axis, then shift 8 units right
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Ответ:
Reflect across the y-axis, then shift 9 units right
C is correct.
Step-by-step explanation:
We are given a rectangle on coordinate plane. ABCD is a rectangle.
First we write the coordinate of ABCD
A(1,3) B(1,6) C(8,6) D(8,3)
Now we reflect across y-axis and write new coordinate of ABCD
Reflection across y-axis: (x,y) -> (-x,y)
A(1,3) → A'(-1,3)
B(1,6) → B'(-1,6)
C(8,6) → C'(-8,6)
D(8,3) → D'(-8,3)
We need to find same rectangle. If we overlap the coordinate with original one we will get similar rectangle same position and shape.
If we shift A'(-1,3) to D(8,3) we will set original rectangle.
Now we will see which operation will get A' to D
If we shift point A' 9 unit right then get point D
A'(-1,3) shift 9 unit right A'(-1+9,3) => A'(8,3) = D(8,3)
Hence, Reflect across the y-axis, then shift 9 units right
Ответ: