TRANSLATION
REFLECTION
ROTATION
DILATION
VOCABULARY
100

Given triangle ABC: A(2, 5) B(6, -9) C(-3, 8)

Give coordinates when translated to the left 8. Label points A' B' C'

A'(-6, 5) B'(-2, -9) C'(-11, 8)

100

Given triangle ABC: A(3, 6) B(-7, 5) C(-4, -1)

Give coordinates when reflected over the y-axis. Label points A' B' C'

A'(-3, 6) B(7, 5) C(4,-1)

100

Given triangle ABC: A(-10, -4) B(-8, 14) C(0, 5)

Give coordinates when rotated 180o counter-clockwise. Label points A'B'C'

A'(10, 4) B'(8, -14), C'(0, -5)

100

Given triangle ABC: A(9, -2) B(7, 11) C(-4, 8)

Give coordinates when dilated by a factor of 3. Label points A'B'C'

A'(27, -6) B'(21, 33) C'(-12, 24)

100

The transformation created by flipping over a line.

What is Reflection

200

Given triangle ABC: A(2, 5) B(6, -9) C(-3, 8)

Give coordinates when translated down 22. Label points A' B' C'

A'(2, -17) B'(6, -31) C'(-3, -14)

200

Given triangle ABC: A(3, 6) B(-7, 5) C(-4, -1)

Give coordinates when reflected over the x-axis. Label points A' B' C'

A'(3, -6) B'(-7, -5) C'(-4, 1)

200

Given triangle ABC: A(-10, -4) B(-8, -14) C(0, 5)

Give coordinates when rotated 90o clockwise. Label points A'B'C'

A'(-4, 10) B'(-14, 8) C'(5, 0)

200

Given triangle ABC: A(9, -2) B(7, 11) C(-4, 8)

Give coordinates when dilated by a factor of 1/2. Label points A'B'C'

A'(4.5, -1) B'(3.5, 5.5) C'(-2, 4)

200

The transformation created by sliding a figure at a fixed distance.

What is Translation

300

Given triangle ABC: A(2, 5) B(6, -9) C(-3, 8)

Give coordinates when translated to the right 13 and down 18. Label points A' B' C'

A'(15, -13) B'(19, -27) C'(10, -10)

300

Given triangle ABC: A(3, 6) B(-7, 5) C(-4, -1)

Give coordinates when reflected over the line y=x. Label points A' B' C'

A'(6, 3) B'(5, -7) C'(-1, -4)

300

If you rotate a figure 90o clockwise will the image end up at the same coordinates if you rotate it 270o counter-clockwise?

What is Yes

300

Given the coordinates of triangle ABC and triangle A’B’C’:

A(-3, 3)                      A’ (-1, 1)

B (-6, 0)                     B’ (-2, 0)

C (9, -3)                     C’ (3, -1)

What type of transformation is this?

What is Dilation

300

The original figure.

What is Pre-image

400

Given triangle ABC: A(2, 5) B(6, -9) C(-3, 8)

Give coordinates when translated to the left 5 and up 11. Label points A' B' C'

A'(-3, 16) B'(1, 2) C'(-8, 19)

400

Given triangle ABC: A(3, 6) B(-7, 5) C(-4, -1)

Give coordinates when reflected over the line y=-x. Label points A' B' C'

A'(-6, -3) B'(-5, 7) C'(1, 4)

400

If you rotate a figure 180o and then reflect it across the y-axis will the image end up at the same coordinates if you reflect it across the y-axis and then rotate it 180o?

What is Yes

400

Given the coordinates of triangle ABC and triangle A’B’C’:

A(-3, 3)                      A’ (-1, 1)

B (-6, 0)                     B’ (-2, 0)

C (9, -3)                     C’ (3, -1)

Write the rule for the transformation

(x, y) -> (1/3x, 1/3y)

400

The ability for a figure to flip onto itself or rotate onto itself.

What is Symmetry

500

Give the single transformation that moved ABC to A'B'C'.


Translate left 5 and up 9

500

Give the single transformation that moved JKL to J'K'L'.


Reflect across y=2 line

500

Give the single transformation that moved RST to R'S'T'.


Rotate 90o counter-clockwise

500

Given the coordinates of triangle ABC and triangle A’B’C’:

A(-3, 3)                      A’ (-1, 1)

B (-6, 0)                     B’ (-2, 0)

C (9, -3)                     C’ (3, -1)

Will the figures be congruent? Explain.

What is No, congruent requires the same shape and size
500

Reflections, rotations, and translations are this because the pre-image and image are congruent.

What is Rigid Motion

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