Rectangle X is 4 cm by 10 cm. Rectangle Y is 6 cm by 15 cm…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Rectangle is cm by cm. Rectangle is cm by cm. Rectangle is cm by cm. Which of and is similar to ? Give the scale factor from to that rectangle.
Need a reminder? The key ideaShow
Similar figures have equal matching angles and matching sides in one ratio, the scale factor. To find a side of a similar triangle, match the shortest side to the shortest, find the scale factor from one pair of matching sides, and multiply.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Rectangle Y. and . The ratios are equal.
Step 2. Rectangle Z. but . The ratios differ.
Answer: only is similar to , and the scale factor is .
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