Transformations

Translations

100

A translation is when you do this to a figure.

What is slide it?

200

Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.

What is (7,16)?

300

Write the translation rule for point (x,y) after it moves 3 spots to the left and 7 spots up.

What is (x-3,y+7)?

400

Describe the translation for this notation: (x,y) --> (x + 8, y + 4)

What is a translation of 8 units to the right and 4 units up?

500

Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)

What is L'(6,-1), M'(12,0), N'(9,5)?

Reflections

100

A reflection is when you do this to a figure.

What is flip it or make a mirror image of it?

200

Find the new coordinates of (3,-2) after you reflect the point over the x-axis.

What is (-3,-2)?

300

Find the new coordinates of ∆ABC A(5,-2), B(7, 3), C(6, 5) after it is reflected over the y-axis.

What is A'(-5,-2), B'(-7, 3), C'(-6, 5)?

400

A picture with one point (-3,4) was reflected over the line y=x. What should be the new coordinates of the point?

What is (4,-3)?

500

Graph rectangle DEFG after a reflection over the line y=-x. D(5,5) E(5,8) F(8,8) G(8,5)

What is D'(-5,-5), E'(-8,-5), F'(-8,-8), G'(-5,-8)?

Rotations

100

A rotation is when you do this to a figure.

What is turn it?

200

Find the new coordinates of (5,4) after you rotate the point with 180º.

What is (4,5)?

300

Find the new coordinates of  (-8, -2) after it rotates 90º counterclockwise.

What is (2, -8)?

400

Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates after the rectangle is rotated 270º counterclockwise about the origin?

What is Q'(-1, -2), R'(-1, -6), S'(-3, -6), T'(-3, -2)?

500

Graph ∆JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (1,2)

What is J'(-5,-6), K'(-7,-9), L'(-1,-2)?

Dilations

100

A dilation is when you do this to a figure.

What is make it bigger or smaller?

200

Find the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.

What is (12,-8)?

300

Write the new coordinates after a dilation with k = 6. A(1, -2), B(3, 2), C(-4, -5)

What is A'(6, -12), B'(18, 12), C'(-24, -30)?

400

Find the new coordinates of C(6,0) and D(9,3) after a dilation with a scale factor of 1/3.

What is C'(2,0) and D'(3,1)?

500

Graph ∆DEF after a dilation with a scale factor of 0.5. D(2,8) E(2,2) F(6,2)

What is D'(1,4), E'(1,1), F'(3,1)?

Transformation Rules

100

Translation Rule

What is (x,y)->(x+a, y+b)?

200

Dilation Rule

What is (a, b)->(ka, kb)?

300

Rotation Rules (90, 180, and 270 Degrees)

What are 90 (a, b)->(-b, a)

180 (a, b)->(-a, -b)

270 (a, b)->(b, -a)

400

Reflection Rules (x-axis, y-axis, y=x, y=-x)

What are x-axis (a,b)->(a, -b)

y-axis (a,b)->(-a, b)

y=x (a,b)->(b, a)

y=-x (a, b)->(-b, -a)

500

The kind of transformation that includes translations, reflections, and rotations.

What is a rigid transformation?