Photo Booth ProjectTransformations and Technology

Directions for importing pictures:1. Open Picture2. Right Click3. Copy4. Go to Power Point Slide5. Right Click ‘Paste’6. Right Click on Picture7. ‘Send to back’8. Resize as necessary to fit slide and graph

Overview : This activity is intended to be a fun way to discover the various properties of transformations. A transformation is when an object shifts up, down, left, right, rotates, reflects, or any combination there of. I have provided sample slides to help you understand how to align your pictures.

Have fun!

Reflection over the y axis(picture is normal)

• Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below.

• Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’.

• What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the Y Axis.

A A’

B B’

C C’

Example for how to line up your picture

Reflection over the y axis(picture is normal)

• Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below.

• Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’.

• What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the Y Axis.

A A’

B B’

C C’

Reflection over the x axis(picture needs to be sideways)

• Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below.

• Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’.

• What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the X Axis.

A A’

B B’

C C’

Example for how to line up your picture

Reflection over the x axis(picture needs to be sideways)

• Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below.

• Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’.

• What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the X Axis.

A A’

B B’

C C’

Reflection over the line y = x(picture needs to rotate so line of symmetry lines up with dotted line)

• Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below.

• Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’.

• What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the line y=x.

A A’

B B’

C C’

Example for how to line up your picture

Reflection over the line y = x(picture needs to rotate so line of symmetry lines up with dotted line)

• Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below.

• Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’.

• What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the line y=x.

A A’

B B’

C C’

Rotations & Dilations

Following the same procedure, rotate your photo 90, 180, and 270 degrees about the origin.

Dilate twice: once by a factor >1, then by a factor <1.