Math: Line Symmetry and Reflection

1. The point c(x,y) is reflected over the x-axis. Use arrow notations to describe the original point and its reflection.

a. (x,y) --> (x,2y)

b. (x,y) --> (-x,y)

c. (x,y) --> (-x,-y)

d. (x,y) --> (x,-y) **

2. What is the correct description for the translation of A to A?

A(10,3) --> A'(1,6)

a. right 9; up 3

b. left 9; down 3 **

c. right 9; down 3

d. left 9; up 3

3. The point C(3, –1) is translated to the left 4 units and up 1 unit.

a. Write a rule to describe the translation.
b. What are the coordinates of the image point?

a. (x, y) --> (x + 4, y +1); (7, –2)

b. (x, y) --> (x – 4, y – 1); (–1, 0)

c. (x, y) --> (x + 4, y – 1); (7, 0)

d. (x, y) --> (x – 4, y + 1); (–1, 0) **

4. The vertices of ΔABC are A(2, –5), B(–3, 5), and C(3, –3). The triangle is reflected over the x-axis. Use arrow notation to describe the original triangle and its reflection.

a. A(2, –5), B(–3, 5), C(3, –3) --> (2, –5), (–3, 5), (3, –3)

b. A(2, –5), B(–3, 5), C(3, –3) --> (–2, 5), (3, –5), (–3, 3)

c. A(2, –5), B(–3, 5), C(3, –3) --> (–2, –5), (3, 5), (–3, –3) **

d. A(2, –5), B(–3, 5), C(3, –3) --> (2, 5), (–3, –5), (3, 3)

c) Write the coordinates of the vertices of the new image after translation

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  1. 1. Yes
    2. It's D, since y-coordinate is increased by 3.
    3. Yes
    4. If a point is reflected over the x-axis, the y-coordinate of the point changes its sign to opposite. So the points become A'(2,5), B'(-3,-5) and C'(3,3).

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  2. does anyone have the answer to all of them?

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  3. minion your cheating

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  4. *you're

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  5. ayeeee thank you kid its you're not your pug lover lol

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  6. Can someone help me with all of them I'm really symtuck on these questions
    .
    Plzz

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  7. Y'all talk about alot of stuff

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  8. Yes yes we do xD

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  9. if im 12 am i to young to be learning this

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  10. no you're not it's 7th grade

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