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Problem preview
G-GPE.4 Warmup M1-044-A01-V04

Use coordinates, distance, and algebra to prove or disprove simple geometric statements.

Use the distance formula to prove segments congruent

Problem

Use the distance formula to calculate the lengths of segments \(J(2,-1)K(6,2)\) and \(L(-3,4)M(1,7)\), then state the congruence conclusion.

Source coordinate plane: Segment JK runs from J(2,-1) to K(6,2), and segment LM runs from L(-3,4) to M(1,7); no lengths or congruence conclusion are shown. Open full size
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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-GPE.4
Category
Geometry
Domain
Expressing Geometric Properties with Equations
Objective
Use coordinates, distance, and algebra to prove or disprove simple geometric statements.
Problem type
Use the distance formula to prove segments congruent