Transformations Geometric Review

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

• I and III only

• II and III only

• I and II only

• I, II and III

Which statement is FALSE?

• The pre-image and image will have the same vertices.

• The motion rule for the transformation is (x,y)->(x,y).

• The figure will be rotated about the origin.

• N' will be located beneath the x-axis.

Answer explanation

Make sure you have selected the statement that is FALSE!

The coordinates of triangle EFG are E(2, -4), F(3,6) and G(8,-7).  If the triangle is rotated

90° counterclockwise about the origin, complete the motion rule describes this transformation. (x,y) --> (_,_)

Quadrilateral MNOP was translated 5 units to the right and 4 units down.  Write the motion rule that describes the translation that was applied to quadrilateral MNOP to create quadrilateral M’N’O’P’.

(x,y) --> ( _ , _ ) 

• m<1 = 26

  m<2 = 154

• m<1 = 154

  m<2 = 154

• m<1 = 154

  m<2 = 26

• m<1 = 26

  m<2 = 26

Complete the motion rule.

Answer explanation

Draw the triangle on the graph.

Complete the motion rule: (x,y) --> ( _ , _ )

Write the motion rule under the question.

A circle is graphed on a coordinate grid and then reflected across the x-axis.  If the center of the original circle was located at (x, y), which motion rule represents the transformation? 

• (x,y) -> (-x,-y)

• (x,y) -> (x,-y)

• (x,y) -> (-x,y)

• (x,y) -> (x,y)

Write the second part to the motion rule below:

(x,y) -> ( _ , _ )

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