Finding Distance in the Coordinate Plane Answers

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

Cross-multiply: (x – 5)() = x(x – 3).

Solve for x: x = .

HD = [___]

♣:

By the converse of the side-splitter theorem, if JK/KL = , then KM ∥ JN.

slope of DE = = =

HJ = [___]

Multiply and simplify: x2 – x – = x2 – 3x.

slope of BC =

JE = [___]

Therefore, because , DE ∥ BC.