GOZUNTA
Try it now
Problem preview
G-GPE.5 Warmup M1-045-A09-V03

Prove and use slope criteria for parallel and perpendicular lines.

Use slope criteria to prove two segments are perpendicular from coordinates

Problem

For segments \(MN\) and \(UV\) with \(M(0,5)\), \(N(4,3)\), \(U(1,1)\), \(V(3,5)\), calculate \(\text{both}~\text{slopes}\), apply the perpendicularity test, and state the conclusion.

Source coordinate plane: Segment MN runs from M(0,5) to N(4,3), and segment UV runs from U(1,1) to V(3,5); no slopes or perpendicular conclusion are shown. Open full size
Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
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 criteria to prove two segments are perpendicular from coordinates