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G-GPE.4 Warmup M2-043-A04-V02

Use coordinates to prove simple geometric theorems, including simple circle theorems.

Compare midpoint coordinates to verify bisection

Problem

Do segments \(PR\) and \(QS\) bisect each other? Use midpoint coordinates to decide: \(P(-2,5)\), \(R(4,-1)\), \(Q(0,0)\), \(S(2,4)\).

Neutral coordinate reference listing P (negative 2, 5), R (4, negative 1), Q (0, 0), and S (2, 4), without drawn segments or a midpoint conclusion. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-GPE.4
Category
Geometry
Domain
Expressing Geometric Properties with Equations
Objective
Use coordinates to prove simple geometric theorems, including simple circle theorems.
Problem type
Compare midpoint coordinates to verify bisection