TranslationsSliding Congruent Figures

Vocabulary•Transformation

•Translation

•Reflection

•Rotation

•Image

A change of position, shape, or size of a figure

Sliding a figure

Flipping a figure

Turning a figure

The figure you get after a transformation

A Couple things!

A point is written as an ordered pair, along with the letter it will be labeled with.

In the new image, the letter will be kept the same, but with an apostrophe

point A becomes point A’

The rule of change can be written in an ordered pair so you know how the figure is moving left to right (according to x) and up and down (according to y)

for example: if I am moving 3 to the right and one down, I would write it (x+3, y-1)

NOTATION

Translate triangle ABC to the right 6, and down 4.

Notation: (x+6, y-4)

A: (-2, 3) (-2+6, 3-4) (4, -1)B: (-2, 1) (-2+6, 1-4) (4, -3)C: (-5, 1) (-5+6, 1-4) (1, -3)

You Try It! Graph the points S (-5,4), T(1,4), U(2, 1), V(-4, 1)

Write the rule AND graph each translation from its original location

down 6 units

left 2 units

left 3 units, up 4 units

right 1 unit, down 3 units

Flipping Congruent Figures

Reflections

Reflections

Reflection

Line of reflection

Flipping a figure

The line that the figure is rotated around (rotated about)

Example 1

Triangle AEY is rotated over the line y= -1

Draw in the line of reflection

Find the new vertices

Example 2

The vertices of triangle RST are R(0,4), S(0,0), T(-4,0). Graph triangle RST

Reflect it over the y-axis

R’, S’, T’

Reflect the image over the x-axis

R”, S”, T”

Copy this figure, then reflect it 180 degrees about the origin

origin