Similarity Transformations

Front

What is a similarity transformation?

Back

A similarity transformation is a transformation that alters the size of a figure but maintains its shape, resulting in similar figures.

Front

What are the properties of similar figures?

Back

Similar figures have proportional sides and equal corresponding angles.

Front

What is a scale factor in dilation?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If Square B is a dilation of Square A with a scale factor of 4/5, what does this mean?

Back

It means that each side of Square B is 4/5 the length of the corresponding side of Square A.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the formula for finding the scale factor between two similar triangles?

Back

The scale factor can be found by dividing the length of a side of one triangle by the length of the corresponding side of the other triangle.

Front

What does the notation T<-6, 1> represent?

Back

T<-6, 1> represents a translation transformation that moves a figure 6 units left and 1 unit up.

Front

What does R_{x-axis} represent in transformations?

Back

R_{x-axis} represents a reflection of a figure across the x-axis.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.

Front

What is the significance of equal angles in similar figures?

Back

Equal angles ensure that the figures maintain their shape, which is essential for similarity.