If triangle ABC is similar to triangle DEF, with AB corresponding to DE and AC corresponding to DF. Given AC = 10, DF = 5, and DE = 4, what is AB?

Master the Certify Teacher EC-6 (391) Mathematics Test. Use flashcards and multiple choice questions with explanations. Boost your confidence and excel in your exam!

Multiple Choice

If triangle ABC is similar to triangle DEF, with AB corresponding to DE and AC corresponding to DF. Given AC = 10, DF = 5, and DE = 4, what is AB?

Explanation:
Similar triangles have corresponding sides in proportion. Since AB corresponds to DE and AC corresponds to DF, the ratio AB/DE must equal AC/DF. With AC = 10 and DF = 5, AC/DF = 10/5 = 2, so AB/DE = 2. Given DE = 4, AB = 2 × 4 = 8. Therefore, AB is 8.

Similar triangles have corresponding sides in proportion. Since AB corresponds to DE and AC corresponds to DF, the ratio AB/DE must equal AC/DF. With AC = 10 and DF = 5, AC/DF = 10/5 = 2, so AB/DE = 2. Given DE = 4, AB = 2 × 4 = 8. Therefore, AB is 8.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy