Transformations: Translations, Reflections, Rotations, and Dilations

Using the Translation vector, (x-3 ,y+5) , translate ΔABC with the given vertices: A(-2 , 4) ; B(1 , 3) ; C(-3 , -2)

• A'(-5 , 9) ; B'(-2 , 8) ; C'(-6 , 3)

• A'(1 , -1) ; B'(4 , -2) ; C'(0 , -7)

• A'(9 , -5) ; B'(8 , -2) ; C'(3 , -6)

• A'(6 , 20) ; B'(-3 , 15) ; C'(9 , -10)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Reflect ΔXYZ over the x-axis.

X(0 , -3) ; Y(-2 , 4) ; Z(1 , 3)

• X'(0 , 3) ; Y'(-2 , -4) ; Z'(1 , -3)

• X'(0 , -3) ; Y'(2 , 4) ; Z'(-1 , 3)

• X'(-3 , 0) ; Y'(4 , -2) ; Z'(3 , 1)

• X'(0 , -3) ; Y'(2 , -4) ; Z'(-1 , 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect ΔXYZ over the y-axis.

X(0 , -3) ; Y(-2 , 4) ; Z(1 , 3)

• X'(0 , 3) ; Y'(-2 , -4) ; Z'(1 , -3)

• X'(0 , -3) ; Y'(2 , 4) ; Z'(-1 , 3)

• X'(-3 , 0) ; Y'(4 , -2) ; Z'(3 , 1)

• X'(0 , -3) ; Y'(-2 , 4) ; Z'(-1 , 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect ΔXYZ over the line y = x.

X(0 , -3) ; Y(-2 , 4) ; Z(1 , 3)

• X'(0 , 3) ; Y'(-2 , -4) ; Z'(1 , -3)

• X'(0 , -3) ; Y'(2 , -4) ; Z'(-1 , 3)

• X'(-3 , 0) ; Y'(4 , -2) ; Z'(3 , 1)

• X'(0 , -3) ; Y'(2 , 4) ; Z'(-1 , 3)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Rotate ΔPQR 90^o counterclockwise about the origin.

P(-5 , 2) ; Q(1 , 5) ; R(3 , -2)

• P'(-2 , -5) ; Q'(-5 , 1) ; R'(2 , 3)

• P'(2 , -5) ; Q'(5 , 1) ; R'(-2 , 3)

• P'(2 , 5) ; Q'(5 , -1) ; R'(-2 , -3)

• P'(-2 , 5) ; Q'(-5 , -1) ; R'(2 , -3)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Rotate ΔPQR 180^o about the origin.

P(-5 , 2) ; Q(1 , 5) ; R(3 , -2)

• P'(-2 , -5) ; Q'(-5 , 1) ; R'(2 , 3)

• P'(-5 , -2) ; Q'(1 , -5) ; R'(3 , -2)

• P'(2 , 5) ; Q'(5 , -1) ; R'(-2 , -3)

• P'(5 , -2) ; Q'(-1 , -5) ; R'(-3 , 2)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.GPE.B.4

Rotate ΔPQR 270^o counterclockwise about the origin.

P(-5 , 2) ; Q(1 , 5) ; R(3 , -2)

• P'(-2 , -5) ; Q'(-5 , 1) ; R'(2 , 3)

• P'(-5 , -2) ; Q'(1 , -5) ; R'(3 , -2)

• P'(2 , 5) ; Q'(5 , -1) ; R'(-2 , -3)

• P'(5 , -2) ; Q'(-1 , -5) ; R'(-3 , 2)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

The center of dilation is the origin. Dilate ΔEFG given a scale factor of 3.

E(4 , 9) ; F(-3 , 12) ; G(2 , -8)

• E'(4/3 , 3) ; F'(-1 , 4) ; G'(2/3 , -8/3)

• E'(12 , 27) ; F'(-9 , 36) ; G'(6 , -24)

• E'(7 , 12) ; F'(0 , 15) ; G'(5 , -5)

• E'(1 , 6) ; F'(-6 , 9) ; G'(-1 , -11)

Tags

CCSS.8.G.A.3

Which of the 4 transformations from this unit is NOT a Congruence Transformation ?

• Dilation

• Translation

• Rotation

• Reflection

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.SRT.A.1