Transformations

Rigid Motionor Nah?

100

The transformation: 

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

What is a RIGID MOTION?

200

A transformation that maintains its width, but stretches vertically.

What is NAH?

300

The transformation:

(x, y) -> (5x, 2y)

What is NAH?

400

The composition of transformations:

T_(1,2)(r_(y=0)(R_(O,-90^°₎))

What is RIGID MOTION?

500

The transformation:

(x, y) -> (-y, -x)

What is RIGID MOTION?

Hello, Hola, Hallo, Bonjour!

100

This describes the following translation, in words:

(x, y) -> (x, y - 9)

What is: down 9 units?

200

This describes the following translation, in words:

T_(-2,0)

What is: left two units?

300

This is another name for a translation.

What is a shift, or a slide, or a glide?

400

This translation, in transformation notation, will map a point from ( -5, 2) to the origin.

What is:

T_(5,-2)

500

This final translation, in transformation notation, will map a point onto itself:

T_(1,0)(T_(3,-1)(T_(-1,2)))

What is:

T_(-3,-1)

Mirror, Mirroron the Wall

100

This is the equation of the line of reflection when a pre-image is reflected across the y-axis.

What is x = 0?

200

This describes the reflectional symmetry of an equilateral triangle (how many lines there are).

What are 3 lines of symmetry?

300

This is a specific name for the type of point that lies on the line of reflection between the pre-image and image of a point being reflected.

What is a midpoint?

400

Point A, at (1, -3) lies on the line of reflection.

These are the coordinates of A' after the figure is reflected over the line

x = 1.

What is (1, -3)?

500

This is the slope of the line of reflection for a downward-pointing arrow whose pre-image is a right-facing arrow.

What is -1?

Duck, Duck,Goose!

100

This is the direction of the following rotation:

R_{(O, -90^°)}

What is clockwise?

200

This is another way, in transformation notation, to describe the following rotation:

R_(O,90^º₎

What is:

R_(O,-270^º₎

300

This is the rotational symmetry of a plus sign.

What is 90º?

400

This is the function notation that describes a figure in quadrant I rotating into quadrant III.

What is:

(x, y) -> (-x, -y)

500

These are the coordinates of the center of rotation for the pre-image of an arrow with its tip at (0,5) and its base at the origin after it rotates 90º counterclockwise, with the tip mapping to (0,5) and the base mapping to (5,5).

What is (0,5)?

Tracing YourSteps

100

This is the inverse of the following translation in function notation:

(x, y) -> (x - 3, y + 5)

What is:

(x, y)-> (x + 3, y - 5)

200

This is the inverse, in transformation notation, of the following composition of transformations:

T_(-2,-3)(r_(y=0))

What is: 

r_(y=0)(T_(2,3))

300

This is the transformation notation for the following composition of transformations: A reflection over the x-axis, followed by a translation up 3 units and to the left 8 units.

What is:

T_(-8,3)(r_(y=0))

400

This is the description, in words, of the inverse of the following composition of transformations:

R_{(o, 90}^°₎(T_(-7,2)(r_(x=0)))

What is a rotation about the origin of 90 degrees clockwise, followed by a translation to the right 7 units and down 2 units, followed by a reflection across the y-axis.

500

This is the inverse of the following composition of transformations, in transformation notation:

T_(-1,2)(R_(O,180^°₎(r_(y=x)))

What is:

r_(y=x)(R_(O,180^°₎(T_(1,-2)))