46
QuizMultiple Choice

Using Triangle Similarity Theorems — Quiz

Question 46 • CMS 2026-2027 Foundations of Math 3 INITIAL CREDIT

Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE What is EC ? BD over DA is equal to BE over EC 5 thirds is equal to 4 over EC

Answer
A
2 units
B
3 point 7 5 units
C
3 units
D
2 point 4 units

Explanation

Use the proportion Daniel wrote: 5/3 = 4/EC. Cross-multiply to get 5 × EC = 3 × 4 = 12, then divide by 5: EC = 12/5 = 2.4 units. The correct choice is 2.4 units.

AI-written and checked against the verified answer.

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