Transformations

Translations

100

A translation is when you do this to a figure.

What is move it shift right, left, up, or down?

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 rule of point (x,y) after it moves 3 units to the left and 7 units up.

 (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

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

(x,y)——>(x+6,y-4)

Reflections

100

A reflection is when you do this to a figure.

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

Write the notation of point (x,y) after it is reflected over the y-axis.

 (-x,y)

400

A figure with one point (-3,4) was reflected over the y-axis. What should be the new coordinates of the point?

What is (3,4)

500

Write the new coordinates of rectangle DEFG after a reflection over the y-axis. D(5,5) E(5,8) F(8,8) G(8,5)

 D'(-5,5), E'(-5,8), F'(-8,8), G'(-8,5)

Rotations

100

A rotation is when you do this to a figure.

Spin it

200

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

 (-5,-4)

300

Write the notation of point (x,y) after it rotates 90º clockwise.

What is (y,-x)?

400

Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the origin?

What is (1,6)?

500

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

 J'(-5,-6), K'(-7,-9), L'(-1,-2)

Algebraic Rules

100

What is the algebraic rule for a rotation of 180 degrees clockwise and counterclockwise.

(-x,-y)

200

Identify the rule for a reflection over the x-axis.

(x,-y)

300

What is the algebraic rule of a rotation that is 90 degrees clockwise or 270 degrees counterclockwise.

(y,-x)

400

Line segment CD was dilated around the origin by a scale factor of 2. The endpoints of the image are C' (4,0) and D' (6,2). What are the coordinates of the endpoints of the original line segment?

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

500

The coordinate point A(5,7) is rotated 90 degrees counterclockwise. What is the algebraic that will be used to determine A'? Also, identify A'.

(-y,x)

A'(-7,5)

Wild Card

100

What are the four properties under transformations?

Translation, reflection, rotation, and dilation.

200

Which transformation does not preserve congruence?

Dilation

300

Identify the properties that change under a reflection.

 orientation and location

400

What happens during a dilation?

It gets bigger or smaller.

500

The triangle ABC has coordinates A(2,5), B(4,2), and C(1,3) is transformed to A'(6,4), B'(8,1), and C'(5,2). What rule is used for this transformation?

(x+4,y-1)