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Write a rule to describe each transformation: #10 & #12

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MEREDITH48034GO MEREDITH48034GO

Mathematics

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Write a rule to describe each transformation: #10 & #12

NO LINKS OR ASSESSMENTWrite A Rule To Describe Each Transformation 10 Amp 12 class=

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JCHERRY99GO JCHERRY99GO · Answer 1

Answer:

Step-by-step explanation:

10

You are rotating the the triangle 180 degrees about the origin. The rule for that is (x,y) ----> (-x,-y)

So X starts at (-4,1) and rotates until it hits (- - 4, -1 or (4,-1). Question is that where X' is? Yes.

Now try the next two points

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

Y(-1,-2) =====> y'(- - 1 , - - 2) = Y'(1,2)

Is that where these points are? Yes it is

12

This given triangle GFH rotates 90 anticlockwise. The rule for that (x,y) ===>(-y,x)

This means that you interchange x and y and make the y value minus. All you have to do is obey the rule.

F(-3,0) becomes F'(0,-3)

G(4,0) becomes G'(0,-4)

H(-3,3) becomes H'(-3,-3)

What should you be convinced of? You should think there is no stretch taking place -- the triangles are not getting bigger or smaller.
You should see that the shape remains the same. If you cut both out with a pair of scissors and put one on top of the other, you could not tell which came from where.

SQDANCEFANGO SQDANCEFANGO · Answer 2

Answer:

10) (x, y) ⇒ (-x, -y) . . . . rotation 180° about the origin

12 (x, y) ⇒ (-y, x) . . . . . rotation 90° CCW about the origin

Step-by-step explanation:

10) The order of the points WXY is CW in both figures, so no reflection (or an even number of reflections) across a line will be involved. Each image point is the same distance from the origin as its preimage point, so no dilation is involve. Those distances are in opposite directions, so rotation 180° about the origin is indicated.

The transformation describing that is ...

(x, y) ⇒ (-x, -y)

__

12) The order of points GHI is CW in both figures, so reflection across a line is not involved. Each image point is the same distance from the origin as its preimage, so no dilation is involved. The direction from the origin is different by 90°, so there has apparently been a 90° CCW rotation about the origin. This transformation is described by the rule ...

(x, y) ⇒ (-y, x)