Exploring Similarity Transformations in Geometry

What is the main focus of similarity transformations?

• Proving figures are congruent

• Proving figures are similar

• Proving figures are different

• Proving figures are identical

Which transformation is not strictly rigid?

• Dilation

• Reflection

• Rotation

• Translation

What happens to a point after a dilation by a factor of 1.5?

• It moves to the opposite side of the origin

• It remains in the same position

• It moves 1.5 times farther from the origin

• It moves 1.5 times closer to the origin

In the example, what is the first step to transform triangle DEF?

• Dilation by a factor of 1.5

• Rotation

• Reflection across the y-axis

• Translation

What is the result of a translation followed by a dilation of 0.5?

• The figure rotates 180 degrees

• The figure remains the same size

• The figure becomes half as large

• The figure becomes twice as large

What is the composition of rigid motions used to map rst onto pyz?

• Reflection across the y-axis followed by a dilation

• Reflection across the origin followed by a dilation

• Rotation followed by a dilation

• Translation followed by a dilation

What transformation is applied first to map ABCD onto another figure?

• Reflection across the y-axis

• Translation

• Dilation

• Rotation

What is the key idea of similarity transformations?

• Figures are similar if they are congruent

• Figures are similar if they have the same size

• Figures are similar if they have the same shape and size

• Figures are similar if there is a similarity transformation that turns one into the other

How can you determine if two figures are not similar?

• If their sides are proportional

• If their sides are not proportional

• If they can be mapped onto each other using a similarity transformation

• If they have the same shape

What is the final step to prove two figures are similar?

• Rotation

• Reflection

• Translation

• Dilation