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Wk 13: EOL 3.2 Rotations, Dilations, and Sequence of Transformations

Last updated 2 months ago

6 Nsɛmmisa

Ɛhia

3

Ɛhia

3

Ɛhia

3

Ɛhia

3

Ɛhia

4

Ɛhia

4

Asemmisa {{asɛmmisaAhyɛnsode}}

1.

1. Graph the pre-image AND image. Then choose the coordinates of the image.
Quadrilateral VWXY with vertices V( 1, -2), W(2, -5), X( 7, -8), and Y(6, 1): 180 ° about the origin.

(7, 7)

(-7, 8)

(1, 8)

(0, 2)

(4, -4)

(1, -3)

(-1, 2)

(-2, 5)

(-6, -1)

(6, 1)

(2, 1)

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

2. Graph the pre-image AND image. Then choose the coordinates of the image.
Parallelogram PQRS with vertices P(0, -6), Q(5, -4), R(4, -7), and S(-1, -9): 270° clockwise about the point (-1, -4).

(-6, -1)

(1, -3)

(2, 1)

(-2, 5)

(1, 8)

(-1, 2)

(4, -4)

(6, 1)

(-1, 2)

(0, 2)

(7, 7)

(-7, 8)

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

Graph the pre-image AND image. Then choose the coordinates of the image.
Rhombus FGHI with vertices F(8, -1), G(11, -2), H(12, -7), and I(9, -6): scale factor = 2, centered at (12, -1).

(6, 1)

(-1, 2)

(12, -13)

(10, -3)

(1, -3)

(6, -11)

(2, 1)

(-2, 5)

(4, -1)

(-7, 8)

(7, 7)

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

4. GRAPH: Then, Identify the (a) scale factor and (b) center of dilation for each dilation.

4

(1, -7)

3

(-1, 7)

2

(0, -7)

(-1, -7)

(0, 7)

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

(5, 1)

(1, 9)

(9, 1)

(5, -1)

(9, 5)

(10, -2)

(4, 2)

(13, -3)

(-4, 2)

Asemmisa {{asɛmmisaAhyɛnsode}}

6.

(-4, 2)

(5, 1)

(1, 9)

(5, -1)

(9, 1)

(4, 2)

(9, 5)

(10, -2)

(13, -3)

5. BE SURE TO GRAPH ALL THREE IMAGES! Then choose the coordinates of the final image.

Rhombus ABCD with vertices A(1, 9), B(3, 10), C(4, 12), and D(2, 11):

a) reflection in the line y = 3

b) dilated by a scale factor of 4, using (1, -7) as the center of dilation

6. BE SURE TO GRAPH ALL THREE IMAGES! Then choose the coordinates of the final image.

Paralellogram PQRS with vertices P(-3, -4), Q(0, -3), R(-1, -8), and S(-4, -9):

a) translation along the vector < 7, 0 >

b) 90° counterclockwise rotation about (3, -2)