Based on the side-splitter theorem, which side length would complete the proportion?
♣:
By the converse of the side-splitter theorem, if JK/KL = , then KM ∥ JN.
Given that PO is a midsegment of △LMN, to which segment is MO congruent?
slope of DE = = =
♦:
Cross-multiply: (x – 5)() = x(x – 3).
slope of BC =
Multiply and simplify: x2 – x – = x2 – 3x.
Therefore, because , DE ∥ BC.
Solve for x: x = .
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Instruction
Using Triangle Similarity Theorems