# MAC III MULTIPLE TRANSFORMATIONS WORKSHEET

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"MAC III MULTIPLE TRANSFORMATIONS WORKSHEET"

```					       MAC III MULTIPLE TRANSFORMATIONS
WORKSHEET

1.) Two translations make a _______________

2.) Two rotations make a _________________

3.) Two non-parallel reflections make a ______________

4.) Two parallel reflections make a _______________

5.) A reflection and a translation make a _______ _______________

6.) Investigate: Use the glide reflection ( x, y ) (  1x, y  2) to transform the triangle
A: (3, 3)      B: (7,3)        C: (5,6), and answer the following:

The reflection part was around the __ - axis

Do glide reflections preserve orientation?

7.) What single transformation would describe a reflection across the x-axis followed
by a reflection across the y-axis?

8.) A translation T: ( x, y)  ( x  a, y  b) is followed by another translation U:
( x, y)  ( x  c, y  d ) . What single translation would be equivalent to this?

9.) Investigate: Use the triangle A: (3, 3) B: (7,3) C: (5,6) and translate it twice,
first by ( x, y)  ( x  3, y  2) and then by ( x, y)  ( x  4, y  1) . Is this equivalent to
a single translation? If so, what? Does this confirm your answer to 8.)?

10.) A dilation D: ( x, y)  (kx, ky) is followed by a 90-degree clockwise rotation.
What single transformation would be equivalent to this?

11.) Investigate: Use the triangle A: (3, 3) B: (7,3) C: (5,6) and dilate it with a scale
factor of 2, then rotate it 90 degrees clockwise. Is this equivalent to a single