Geometry.3.A.3 - The Scaling Principle for Area – Exit Ticket

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In the following figure, AE and BD are segments.

△ABC and △CDE are similar. How do we know this?

What is the scale factor of the similarity transformation that takes △ABC and △ CDE ?

What is the value of the ratio of the area of △ABC to the area of △CDE ? Explain how you know.

If the area of △ABC is 30 cm2, what is the area of △CDE ?

From EngageNY.org of the New York State Education Department. Grade Geometry Mathematics Module 1, Topic A, Lesson 3. Internet. Available from https://www.engageny.org/resource/geometry-module-...; accessed 14/Apr/2016.