Translations
Reflections
Rotations
Dilations
Challenge Round
100

What two transformations are needed to move a figure 4 units right and then flip it over the x-axis?

Translation & Reflection

100

Define a Reflections

A transformation that flips a figure across a line.

100

What is a Rotation?

Turning a figure around a fixed point.

100

Define a dilation

A transformation that enlarges or reduces an image from a fixed point.

100

What is rigid motion?

A transformation that preserves size and shape (Translations, Reflections, and rotations)

200

What do h and k stand for in the coordinate notation? (x,y)->(x+h,y+k)

H is your horizontal distance

K is your vertical distance

200

True or False: A figure and its reflections across the y-axis are congruent.

True. Reflections preserve size and shape.

200

What sequence of transformations would move figure 1 to figure 2?

           

Rotation 90 degrees CCW

200

Dilations create _______ figures

SIMILAR

200

Give a real-life example of a reflection, rotation, translation, AND dilation that you see outside of math class.

Reflection in a mirror, rotation of a Ferris wheel, sliding a book across a desk, eyes dilating.

300

Give (x,y)->(x+5,y-9) in vector notation

<5,-9>

300

Point A(-5,-9) is reflected over the x-axis, what is the new point?

(-5,9)

300

After a 180° rotation about the origin, the point (5,-2) moves to where?

(-5,2)

300

What will happen to a figure if k=8/7

The figure will grow

300

Give a possible sequence of two or more  transformations that map a figure onto itself.

Rotating 90 degrees then 270 degrees


400

A figure is translated ⟨−3,4⟩. Where does the point (2,-1) move?

(-1,3)

400

A rectangle is reflected across the y-axis and translated up 5. Is the new figure congruent to the original?

Yes

400

What transformation takes (4,-1) → (-1,-4)?

270 degrees ccw

400

Explain how to dilate not from the origin.

Plot your points, drawl vectors from the point of dilation to your figure, dilate your vectors, find your new primes. 

400

If a figure has rotational symmetry, does that mean it also has point symmetry?

No, because point symmetry is exactly 180 degrees and rotational can be any rotation less than 360 degrees

500

A point at (1,1) is translated <2,3> and then rotated 90 degrees counterclockwise. Where does it end up?

(-4,3)

500

List all the lines we have reflected over in class. 

x and y axis, diagonal lines y=x and y=-x, and horizontal/vertical lines x=# and y=#

500

What is A(8,7) if I rotate it 270 degrees CLOCKWISE

A'(-7,8)
500

What is the scale factor if C(6,8) and C'(9,12)

k=3/2

500

What is my dogs name?

Goose <3