Geometry

1.Which translation rule describes the translation that is 6 units to the right and 5 units down?
A.(x, y)--> (x+6, y-5)****
B.(x, y)--> (x-6, y-5)
C.(x, y)--> (x+6, y+5)
D.(x, y)--> (x-6, y+5)

2.If point P(4,11) is reflected across the line y=3, what are the coordinates of its reflection image?
A.(2,11)
B.(11,4)
C.(4,-11)****
D.(4,-5)

3.The vertices of a triangle are P(4, 1), Q(2, -8), and R(-8, 1). What are the vertices of the image reflected across the y-axis?
A. P'(4, -1), Q'(2, 8), and R'(-8, -1)
B.P'(-4, 1), Q'(-2, -8), and R'(8, 1)
C.P'(-4, -1), Q'(-2, 8), and R'(8, -1)****
D.P'(4, 1), Q'(2, -8), and R'(-8, 1)

4. Which letter has rotational symmetry?
A.Q
B.H****
C.G
D.A

5.A(-5, -4)--->A' is a glide reflection where the translation is (x, y)--->(x+6, y) and the line of reflection is y=3 what are the coordinates of A?
A.(1, -4)
B.(-5, 2)
C.(1, 10)
D.(11, 2)****

I think the answers are:
1.A
2.C
3.C
4.B
5.D
Please correct me if I'm wrong.

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  1. #1, correct
    #2. you have a reflection in a horizontal line, so the x value does not change.
    P(4,11) was 8 units above y = 3, so the new point has to be 8 unites below y = 3
    that is we want (4,-5) or D
    #3.
    reflection across the y-axis, leaves the y alone but switches the x to the opposite.
    must be B

    #4. only true for rotations that are multiples of 180°

    #5. not clearly stated. Isn't A given ?

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  2. So if I'm not mistaken.
    1. A
    2. C
    3. B
    4. B
    5.A?
    So I only had 1 or2 questions correct? @Reiny

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  3. I ment to say:
    1.A
    2.D
    3.B
    4.B
    5.C
    (Sorry for 2 i hit C when I met to hit D)
    (I'm guessing C because A don't seem right)

    Would I be correct on 1-4 or 1-5? As in which answers is currently correct now with or with out #5 because #5 do seem tricky. But do you think it's now correct (for all of them, if you don't know for #5 it's okay to say you don't know)

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  4. Ummmm 1 would be C.

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  5. oh nvm your right. I just read it wrong

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  6. so which one is right i'm confused dudes

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  7. 1. would be A, as you said
    2. is is D
    3. is B
    4. is correct
    5. is C. (1, 10) because you translate the point (-5,-4) 6 units to the right, making it (1, -4). Then you reflect that point across the line y=3. Since the coordinate is seven units below the line, you add 7 to the line's y-coordinate to get the final coordinate (1,10).
    Hope that helps!

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