Transformations Overview and Practice Problems

Translation: What action does it take on a figure?

• slides it

• flips it

• turns it

• shrinks/enlarges

Reflection: What action does it take on a figure?

• slides it

• flips it

• turns it

• shrinks/enlarges

Rotation: What action does it take on a figure?

• slides it

• flips it

• turns it

• shrinks/enlarges

Dilation: What action does it take on a figure?

• slides it

• flips it

• turns it

• shrinks/enlarges

Which transformations result in congruent figures?

• translation

• reflection

• rotation

• dilation

Which transformation result in similar figures?

• translation

• reflection

• rotation

• dilation

1. The graph of Triangle DEF is shown.

Part B: Explain how to find the coordinates of the new image. What was the coordinate notation?

2. Triangle ABC has vertices A(5, 4), B(-2, -4), and C(-5, -4). Triangle XYZ has vertices X(2.5, 2), Y(-1, -2) and Z(-2.5, -2). What is the scale factor of the dilation that maps triangle ABC onto triangle XYZ? The scale factor of the dilation is __ .

3. 3. Consider the graph of ΔABC and its image, ΔA'B'C'. Which statement is accurate regarding the transformation shown?

• A. ΔA'B'C' is the image of a reflection of ΔABC across the y-axis.

• B. ΔA'B'C' is the image of a reflection of ΔABC across the line x = 3.

• C. The x-coordinates of the vertices of ΔABC and its image ΔA'B'C' are the same.

• D. The x-coordinates of the vertices of ΔABC and its image ΔA'B'C' are opposites.

4. 4. In the figure, the triangles are similar. What is the width of the pond, d, in meters?

• 19.6 m

• 20.03 m

• 62.5 m

• 25 m