Scaled Copies

Front

What is a scaled copy?

Back

A scaled copy is a shape that is the same shape but different in size compared to the original.

Front

What does scale factor mean?

Back

The scale factor is a number that describes how much a shape is enlarged or reduced.

Front

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

Back

The shape is enlarged to twice its original size.

Front

If the original length of a side is 5 units and the scale factor is 3, what is the new length?

Back

15 units.

Front

What is the scale factor if a shape is reduced from 10 units to 2 units?

Back

The scale factor is 1/5.

Front

Are scaled copies always similar?

Back

Yes, scaled copies are always similar because they have the same shape.

Front

What is the relationship between the areas of two similar shapes with a scale factor of k?

Back

The area of the larger shape is k² times the area of the smaller shape.

Front

If Figure A has a scale factor of 4 to Figure B, and the area of Figure A is 16 square units, what is the area of Figure B?

Back

64 square units.

Front

How can you determine if two figures are scaled copies of each other?

Back

Check if their corresponding angles are equal and their sides are in proportion.

Front

What is an example of a real-world application of scaled copies?

Back

Maps are scaled copies of geographical areas.