Transformation Composition Worksheet Name____________________

Directions: Use graph paper to perform the following transformations. Fill in the chart with the the coordinates of the image. Attach your graph paper to the worksheet!

1. Pre-image: A(0,0), B(8,1), C(5,5)
Rotate the figure 180⁰

Translate the figure according to (x,y)→(x-3,y+1)

2. Pre-image: D(-9,6), E(-4,6), F(-6,9), G(-10,9)
Translate the figure according to (x,y)→(x+1,y-6)

Rotate the figure 90⁰

Reflect the figure over the y-axis

3. Pre-image: H(2,2), I(-2,2), J(-2,-2), K(2,-2)
Translate the figure according to (x,y)→(x+2,y+2)

Rotate the figure 270⁰

4. Pre-image: L(6,2), M(0,9), N(-4,-5), P(1,-9)
Reflect the figure over the y-axis

Rotate the figure 90⁰

5. Pre-image: Q(0,0), R(-9,0), S(0,8)
Reflect over the line y=x

Rotate the figure 90⁰

6. Pre-image: T(6,-3), U(8,-5), V(7,-7), W(5,-7), X(4,-5)
Translate the figure according to (x,y)→(x-4,y+3)

Rotate the figure 270⁰

When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.

(i) The new position of the point A (3, 5) will be A' (-3, -5)

(ii) The new position of the point B (-2, 7) will be B' (2, -7)

(iii) The new position of the point C (-5, -8) will be C' (5, 8)

(iv) The new position of the point D (9, -4) will be D' (-9, 4)
Use this information to solve.
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Pre-image: A(0,0), B(8,1), C(5,5)

Rotate the figure 180⁰

#1. rotation of 180° takes (x,y) → (-x,-y)

Now review the topic, and I'm sure you can come up with some answers for the rest.