Exploring Similarity and Transformations in Geometry

What does a dilation change in a figure?

• The shape of the figure

• The size of the figure

• The color of the figure

• The position of the figure

Which transformation does NOT result in congruent figures?

• Translation

• Rotation

• Dilation

• Reflection

What is the definition of a scale factor?

• The ratio of the length of a side on a scale model to the same side of the original object

• The ratio of the area of a figure to its perimeter

• The ratio of the height of a figure to its base

• The ratio of the volume of a figure to its surface area

Two figures are similar if the second can be obtained from the first by a sequence of which transformations?

• Rotations and reflections

• Reflections and dilations

• Translations and rotations

• Translations and dilations

In Example 1, what transformation is used first to determine if the two triangles are similar?

• Dilation

• Rotation

• Reflection

• Translation

What is the ratio of the sides of triangle HGI to triangle EDF in Example 1?

• 4:1

• 1:1

• 3:1

• 2:1

In Example 2, why are the two rectangles not similar?

• The figures are not translated correctly

• The figures are not rotated correctly

• The sides are not proportional

• The angles are different

What is the first transformation performed on triangle ST in Example 3?

• Dilation

• Rotation

• Reflection

• Translation

If a scale factor is between 0 and 1, what happens to the size of the dilated figure?

• It becomes smaller

• It becomes larger

• It changes shape

• It remains the same

In the art show example, what are the dimensions of the largest print after two enlargements?

• 72 cm x 90 cm

• 36 cm x 45 cm

• 54 cm x 67.5 cm

• 108 cm x 135 cm