1.1: Scaled or Not?
- Which of the geometric objects are scaled versions of each other?
- Pick two of the objects that are scaled copies and find the scale factor.
Let’s explore the U.S. flag.
One standard size for the United States flag is 19 feet by 10 feet. On a flag of this size, the union (the blue rectangle in the top-left corner) is $7\frac58$ feet by $5\frac38$ feet.
There are many places that display flags of different sizes.
On a U.S. flag that is 19 feet by 10 feet, the union is $7\frac58$ feet by $5\frac38$ feet. For each question, first estimate the answer and then compute the actual percentage.
The largest U.S. flag in the world is 225 feet by 505 feet.
Imagine you have a painting that is 15 feet wide and 5 feet high. To sketch a scaled copy of the painting, the ratio of the width and height of a scaled copy must be equivalent to $15:5$. What is the height of a scaled copy that is 2 feet across?
We know that the height is $\frac13$ the width, so $h=\frac13 \boldcdot 2$ or $\frac23$.
Sometimes ratios include fractions and decimals. We will be working with these kinds of ratios in the next few lessons.