Flashcard 6.3-4

Front

What is the scale factor if two similar pyramids have volumes of 648 cm³ (OLD) and 375 cm³ (NEW)?

Back

5/6

Front

A dilation can produce a smaller figure also known as a ______

Back

reduction

Front

If the volume of the larger cylinder is 562.5 m³, what is the volume of the smaller cylinder if they are similar?

Back

288 m³

Front

If a dilation produces a congruent figure, what was the scale factor?

Back

1

Front

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

Back

1/3

Front

Define 'scale factor' in the context of dilations.

Back

The ratio of the lengths of corresponding sides of similar figures.

Front

What is the relationship between the volumes of similar figures and their scale factor?

Back

The volume ratio is the cube of the scale factor.

Front

If a figure is enlarged by a scale factor of 2, what happens to its area?

Back

The area is multiplied by 4 (2²).

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but not its shape.

Front

What does it mean for two figures to be similar?

Back

They have the same shape but may differ in size.