Triangle Similarity: AA Answers

Based on the side-splitter theorem, which side length would complete the proportion?

♦:

Therefore, because , DE ∥ BC.

Solve for x: x = .

♣:

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.