Transformations and Symmetry

Vectors

100

What does the Vector of (3,-4) mean?

Translate Right 3 units

Translate down 4 units

200

What is the vector for moving the triangle of PQR to P'Q'R'?

PQR: P(3,1), Q(1,3), R(-2,-1) 

P'Q'R': P'(5,-1), Q'(3,1), R'(0,-3)

Vector (2,-2)

300

What are the new coordinates of A'B'C'

A(-3,3), B(-3,-1), C(1,2); Vector (5,-2)

A'(2,1)

B'(2,-3)

C'(6,0)

400

What is the vector for moving the triangle of PQR to P'Q'R'?

PQR: P(3,1), Q(1,3), R(-2,-1) 

P'Q'R': P'(-5,5), Q'(-7,7), R'(-10,3)

Vector (-8,4)

500

What are the new coordinates of A'B'C'

A(0,3), B(0,0), C(3,0); Vector (-2,2)

A'(-2,5) 

B'(-2,2)

C'(1,2)

Rotations/Lines of Symmetry

100

How many lines of symmetry does a triangle have? What are the degrees of rotation?

3: 

120, 240, 360

200

How many lines of symmetry does a square have? What are the degrees of rotation?

4

90, 180, 270, 360

300

How many lines of symmetry does a hexagon have? What are the degrees of rotation?

6

60, 120, 180, 240, 300, 360

400

How many lines of symmetry does a octagon have? What are the degrees of rotation?

8

45, 90, 135, 180, 225, 270, 315, 360

500

How many lines of symmetry does an icosagon have? What are the degrees of rotation?

20

18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360

Name that Transformation

100

Name the type of transformation that the given rule produces.

(x,y) to (3x,3y)

Dilation by a scale factor of 3

200

Name the type of transformation that the given rule produces.

(x,y) to (0.25x,0.25y)

Dilation by a scale factor of 0.25

300

Name the type of transformation that the given rule produces.

(x,y) to (6x,0.5y)

Horizontal stretch by a scale factor of 6

Vertical compression by a scale factor of 0.5

400

Name the type of transformation that the given rule produces.

(x,y) to (1.25x, y+5)

Horizontal stretch by a scale factor of 1.25

Translate up 5 units

500

Name the type of transformation that the given rule produces.

(x,y) to (2x-4, 4y+2)

Horizontal stretch by a scale factor of 2

Translate left 4 units

Vertical stretch by a scale factor of 4

Translate up 2 units

Transforming Coordinates

100

In a coordinate plane, quadrilateral PQRS has vertices P(6, 4), Q(3, 1), R(0, 5), and S(3, 8). Find the coordinates of the vertices of the image after the reflection over the x-axis.

P'(6,-4)

Q'(3,-1)

R'(0,-5)

S'(3,-8)

200

In a coordinate plane, quadrilateral PQRS has vertices P(6, 4), Q(3, 1), R(0, 5), and S(3, 8). Find the coordinates of the vertices of the image after the reflection over the y-axis.

P'(-6,4)

Q'(-3,1)

R'(0,5)

S'(-3,8)

300

Use the rule to transform the triangle with vertices A(4,1), B(8,2) and C(-8,2).

(x,y) to (0.25x,-2y)

A'(1,-2)

B'(2,-4)

C'(-2,-4)

400

Use the rule to transform the triangle with vertices A(3,1), B(6,2) and C(-6,0).

(x,y) to (-1/3x,3y)

A'(-1,3)

B'(-2,6)

C'(2,0)

500

Use the rule to transform the triangle with vertices A(3,1), B(6,2) and C(-6,0).

(x,y) to (x-3, -2y)

A'(0,-2)

B'(3,-4)

C'(-9,0)