The size of the scale factor affects the size of the copy. When a figure is scaled by a scale factor greater than 1, the copy is larger than the original. When the scale factor is less than 1, the copy is smaller. When the scale factor is exactly 1, the copy is the same size as the original.
Triangle DEF is a larger scaled copy of triangle ABC, because the scale factor from ABC to DEF is 23. Triangle ABC is a smaller scaled copy of triangle DEF, because the scale factor from DEF to ABC is 32.
This means that triangles ABC and DEF are scaled copies of each other. It also shows that scaling can be reversed using reciprocal scale factors, such as 32 and 23.
In other words, if we scale Figure A using a scale factor of 4 to create Figure B, we can scale Figure B using the reciprocal scale factor, 41, to create Figure A.
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors.
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number or a fraction.
Interpret multiplication as scaling (resizing).
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Recognize and represent proportional relationships between quantities.