Topic 3: Transformations Review Game

Vocabulary

100

A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.

What is translation?

200

Operations that alter the form of a figure. Examples: translations, reflections, and rotations.

What is transformations?

300

The transformation that is a combination of a reflection and a translation.

What is glide reflection?

400

A transformation in which a plane figure turns around a fixed center point.

What is rotation?

500

A transformation that preserves distance; e.g. reflection, rotation, and translation.

What is a rigid motion?

Translations

100

The translation rule in vector form for a figure that is translated 3 units left.

What is T_{<-3, 0>}?

200

Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by T_{<2, -5>}.

What is A'(4, -1)?

300

The coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by T_{<-5, 1>}.

What are X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?

400

The coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.

What is M'(1, 1) and N'(2, -1)?

500

The translation rule or coordinate mapping when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).

What is T_{<0, -4>} or (x, y)-->(x, y-4)?

Reflections

100

The equation for the line of reflection if a figure is reflected over the y-axis.

What is x=0?

200

The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.

What is X'(-3, -1)?

300

The coordinates of M', N', and P' when triangle MNP with M(-2, -4), N(-3, 1), and P(0, 2) is reflected over the line x=2.

What is M'(6, -4), N'(7, 1), and P'(4, 2)?

400

The line of reflection when A(-2, 0), B(1, 3), and C(3, -4) is reflected to A'(-2, -2), B'(1, -5), and C'(3, 2).

What is y=-1?

500

The line of reflection when X(-4, 0), Y(-2, -2), and Z(0, -8) is reflected to X'(-2, 0), Y'(-4, -2), and Z'(-6, -8).

What is x=-3?

Rotations

100

This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.

What is a rotation of 180 degrees?

200

The rotation that creates the same image as a rotation 270 degrees clockwise.

What is a rotation 90 degrees counterclockwise?

300

The coordinate mapping rule for a rotation clockwise of 90 degrees.

What is (x, y)-->(y, -x)

400

This angle of rotation maps (x, y)-->(-y, x).

What is rotation 270 degrees clockwise or 90 degrees counterclockwise?

500

Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.

What is A'(3, 2) and B'(1, -2)?

Symmetry & Compositions

100

The number of lines of symmetry of a regular nonagon.

What is nine?

200

The single translation represented by the composition of rigid motions T_{<-4, 7> o} T_{<-3, -8>}.

What is T_{<-7, -1>}?

300

Find the coordinates of A' and B' after the following glide reflection given A(1, 3) and B(2, 0): R_{y= -2 o} T_{<-3, 1>}.

What is A'(-2, -8) and B'(-1, -5)?

400

The angles of rotation of a regular octagon.

What are 45^o, 90^o, 135^o, 180^o, 225^o, 270^o and 315^o?

500

Find the coordinates of B" when A(5, 0), B(5, 5), and C(2,4) undergo the following composition: T_{<6, -5>}, then rotate counterclockwise 270 degrees.

What is B"(0, -11)?