Geometry Transformations

Which transformation is NOT a rigid motion (the size changes)?

• Rotation

• Reflection

• Dilation

• Translation

Answer explanation

Which transformation was NOT discussed in Unit 2?

Which transformation will map the right triangle onto itself?

• 90 degree rotation

• 180 degree rotation

• 270 degree rotation

• none of the above choices

Answer explanation

Sketch the shape and try the rotations to see which , if any will map the shape onto itself.

How many lines of symmetry are there in this shape?

Answer explanation

Sketch the shape, connect opposite vertices, then look for any other lines of symmetry that you can draw- what is the total?

A sequence of transformations is described below:

A rotation about a point Q, a translation , a reflection over a line R, with another translation

Which of the following must be preserved under this sequence of transformations?

• segment lengths

• angle lengths

• both segment lengths and angle measures

• neither segment lengths or angles

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

Which sequence of transformations will map trapezoid A to its image A'?

• Reflection, then a translation

• Rotation, then a translation

• Reflection, then a rotation

• Rotation, then a dilation

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

The rule for rotation of 270 degrees is  
(x, y) --> _

• (y, x)

• (-y, x)

• (y, -x)

• (x, -y)

The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?

• Z'(2, 4)

• Z'(-4, 2)

• Z'(-2, -4)

• Z'(-4, -2)

If the red triangle is rotated 180 degrees, then reflected over the line y=2, what is the resulting image?

• Green Triangle

• Blue Triangle

• Orange Triangle

• Red Triangle