Question

daniel claims that any two right triangles can be proven to be similar by the sas similarity theorem because both have right angles that are congruent. what is his mistake?

Explanation:

The SAS similarity theorem requires that the included angle is congruent and the adjacent sides are in proportion. Daniel only considered the congruent right angles (the included angle) but ignored the need for the adjacent sides to be in proportion. Just having congruent right angles is not sufficient for the SAS similarity theorem.

Answer:

Daniel's mistake is that he only considered the congruent right angles (the included angle) but did not check if the adjacent sides of the right angles are in proportion. The SAS similarity theorem requires both a congruent included angle and proportional adjacent sides.