6.1-6.4 similarity through transformation

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

If a triangle has a side length of 4 units and undergoes a dilation with a scale factor of 2, what is the new length?

Back

8 units.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

Which of the following transformations is a dilation? (x, y) → (x, 3y), (x, y) → (3x, 3y), (x, y) → (x, y - 3), (x, y) → (.5x, .4y)

Back

(x, y) → (3x, 3y) is a dilation.

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 relationship between the scale factor and the lengths of corresponding sides in similar figures?

Back

The lengths of corresponding sides in similar figures are proportional to the scale factor.

Front

If a triangle is dilated by a scale factor of 0.5, what happens to its size?

Back

The triangle will be reduced to half its original size.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height = (Distance to object / Distance to mirror) * Height of mirror.

Front

If two similar triangles have side lengths in the ratio 2:3, what is the scale factor from the smaller triangle to the larger triangle?

Back

The scale factor is 3/2 or 1.5.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

It reduces the size of the figure.