Transformations

Translations

100

How does a translation move a figure to a different location?

slide

200

A translation does not rotate or resize the object - true or false?

true

300

To translate a figure, we move all of its points in the same ______________ and ______________.

distance and direction

400

Plot this preimage on your coordinate plane:

A (1, 1)

B (5, 1)

C (3, 4)

Now, translate it 3 points left. What are the points for new image?

A' (-2, 1)

B' (2, 1)

C' (0, 4)

500

Plot this preimage on your coordinate plane:

A (-4, 5)

B (-1, 5)

C (-3, 1)

D (0, 1)

Now, translate it 6 points right. What are the points for new image?

A' (2, 5)

B' (5, 5)

C' (3, 1)

D' (6, 1)

Reflections

100

A reflection ________ a figure over a line of reflection like a mirror image.

flips

200

When reflecting an image a ___________ of _____________ is required

line of reflection

300

When reflecting figures, the distance between the original point and the line of reflection is the same distance as what and what?

the new point and the line of reflection

400

Plot this preimage on your coordinate plane:

A (2, 6)

B (5, 6)

C (2, 1)

D (5, 1)

Now, reflect it over the line of reflection - line Y. What are the points for new image?

A' (-2, 6)

B' (-5, 6)

C' (-2, 1)

D' (-5, 1)

500

Plot this preimage on your coordinate plane:

A (0, 1)

B (5, 1)

C (0, 4)

Now, reflect it over the line of reflection - line X. What are the points for new image?

A' (0, -1)

B' (5, -1)

C' (0, -4)

Rotations

100

A rotation __________ a figure around a fixed point.

turns

200

The fixed point of rotation is called the _________ of ________________

center of rotation

300

when rotating figures we can move CW or CCW. What do these abbreviations stand for?

clockwise and counterclockwise

400

Plot this preimage on your coordinate plane:

A (0, 6)

B (3, 6)

C (0, 0)

D (3, 0)

Now, rotate it over the point of origin 90^o CCW. What are the points for new image?

A' (-6, 0)

B' (-6, 3)

C' (0, 0)

D' (0, 3)

500

Plot this preimage on your coordinate plane:

A (0, 2)

B (7, 2)

C (0, 0)

D (7, 0)

Now, rotate it over the point of origin 90^o CW. What are the points for new image?

A' (2, 0)

B' (2, -7)

C' (0, 0)

D' (0, -7)

Hodge Podge

100

Name the 3 types of transformations that we have learned so far...

translations, reflections, rotations

200

What is the result of a translation, reflection, or rotation on an object?

Image

300

Translations, Reflections, and Rotations move figures WITHOUT changing their sizes or shapes, so they are called what kind of transformations?

Rigid

400

Same Size and Same Shape means that nothing on the image has changed except WHERE it moved to is called...

Congruence

500

Plot this point on your coordinate plane:

A (4, 5)

Now, rotate it over the point of origin 180^o CCW. What is the new point?

A' (-4, -5)

BONUS

100

Corresponding Points are in the same position in relation to what?

Preimage and Image

200

Plot this point on your coordinate plane:

H (0, 2)

Now, rotate it over the point of origin 270^o CW. What is the new point?

H' (2, 0)

300

Plot this point on your coordinate plane:

B (7, 2)

Now, rotate it over the point of origin 180^o CW. What is the new point?

B' (-7, -2)

400

Plot this point on your coordinate plane:

J (3, -9)

Now, rotate it over the point of origin 90^o CCW. What is the new point?

J' (9, 3)

500

Plot this point on your coordinate plane:

A (-10, 2)

Now, rotate it over the point of origin 270^o CW. What is the new point?

A' (-2, -10)