IM Geometry Unit 3 CYR

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal and their corresponding sides are proportional.

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

If a point A is dilated using center C and scale factor k, how is the new point A' determined?

Back

The new point A' is found by multiplying the distance from C to A by the scale factor k.

Front

What is the relationship between the lengths of corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional to each other.

Front

If the scale factor is 2, what happens to the size of the figure?

Back

The figure is enlarged to twice its original size.

Front

If the scale factor is 0.5, what happens to the size of the figure?

Back

The figure is reduced to half its original size.

Front

What is the value of w if w = 55?

Back

55

Front

What is the value of v if v = 35?

Back

35

Front

If segment AB is 4 units long, what is the length of segment A'B' after a dilation with a scale factor of 2.5?

Back

The length of segment A'B' is 10 units.