Transformations

Translations

100

Write a rule/notation that represents the statement.  A point moves left seven units and up ten units.

T_{<- 7, 10>} or T (x - 7, y +10)

200

Determine the image for the rule... T_{< 5, - 5>} A (6,1)

A' (11, - 4)

300

A (-4, - 1) translates to A' (6, - 7). What is the translation rule for this point?

T_{<10, - 6>}

400

C (-4,5) translates to C' (- 6, 1).  Below is the rule for this translation....T (x + h, y + k). What are the values of h and k?

h = -2, k = -4

500

The composition of translations is as follows....

T_{<-3, 4>} o T_{<5, 2>}.  Write one equivalent translation for the composition.

T_{<2, 6>}

Reflections

100

What is true about the x-coordinate of the ordered pair when reflected across the x-axis?

It stays the same.

200

A (5, - 4) is reflected across the y-axis. Where is A' located?

A' (-5, -4)

300

C (-1, 2) is reflected vertically to C' (5,2).  Determine the line of reflection.

R_{x = 2}

400

The point Y (- 3, 4) is reflected to Y' (4,- 3). Determine the line of reflection.

R_{y =x}

500

W (-3,5) is reflected across the line y = -x. Where is the location of W'?

W' (-5, 3)

Rotations

100

Write the rule for a 270^o counterclockwise rotation.

(x, y) = (y, -x)

200

What is an equivalent rotation to a 270^o clockwise turn?

90^o counterclockwise

300

Which rule is demonstrated between the two points? The center of rotation is located at the origin.

A (5, 4) to A' (-4, 5)

90^o counterclockwise turn

400

Point B (-6, 7) is rotated 180^o clockwise.  Where is B' located?

B' (6,-7)

500

Which of the following rotation rules are being demonstrated? (8, - 6) -------- (6, -8)

90^o counterclockwise rotation.

Symmetry

100

What two types of symmetry are there?

Reflectional and Rotational

200

How many lines of symmetry does a regular heptagon have?

7

300

Identify at least four rotations that would map a regular decagon onto itself.

36, 72, 108, 144, 180, 216, 252, 288, 324

400

How many sides/vertices must a regular polygon have if it's least degree of rotation is 30^o?

12

500

Name the regular polygon that can rotate 432^o and be mapped onto itself.

Pentagon

Composition of Rigid Motions

100

What type of composition of rigid motions reflects and object and then translates? 

Glide Reflection

200

A (3,1) is reflected across the x-axis then the y-axis. Where is A'' located?

A'' (-3, -1)

300

Follow the composition...T_<2,3>o R_x-axis A (-2, 4). *remember to work from right to left*

Where is A'' located?

A'' (0, - 1)

400

Determine B" for R_{y =-x} o R_y=x B (6,8).

*Remember to work from left to right*

B" (-6, - 8)

500

Determine C" for R_x-axis o r_{(90, O)} C (4,3)

_{*Remember to work from right to left*}

C" (-3, - 4)