Question

Frederick is trying to convince his mom that their ice cream cones maybe similar, but they definitely are not congruent. He decides to prove this by showing that the triangle created by the height and radius of each cone create similar triangles. Which of the following might he use to prove two triangles are similar? Select all that apply.

SSS Similarity Theorem

SAS Similarity Theorem

ASA Similarity Theorem

AAS Similarity Postulate

SSA Similarity Theorem

AA Similarity Postulate

Answer 1

SAS

Explanation:

The height and radius of a cone are two legs of a right triangle. The right angle is the angle between those two legs. So, the applicable theorem is ...

SAS

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In terms of theorems applicable to right triangles, this would be the LL theorem.

Additional computation is needed to show the appropriate relations between any other side length or angle.