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G-GPE.5 Warmup M1-045-A08-V04

Prove and use slope criteria for parallel and perpendicular lines.

Use slope to show two segments are parallel

Problem

For noncollinear segments \(JK\) and \(LM\) with \(J(-3,1)\), \(K(0,7)\), \(L(2,-4)\), \(M(4,0)\), calculate \(\text{both}~\text{slopes}\), compare them, and determine whether the segments are parallel.

Source coordinate plane: Segment JK runs from J(-3,1) to K(0,7), and segment LM runs from L(2,-4) to M(4,0); no slopes or parallel conclusion are shown. Open full size
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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-GPE.5
Category
Geometry
Domain
Expressing Geometric Properties with Equations
Objective
Prove and use slope criteria for parallel and perpendicular lines.
Problem type
Use slope to show two segments are parallel