Problem preview

G-GPE.4 Warmup M2-043-A11-V03

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

Choose the coordinate method needed for a proof goal

Problem

A coordinate proof must establish that \(\text{two}~\text{diagonals}\) bisect each other. Name the direct coordinate method and state the equality the \(\text{two}~\text{diagonal}~\text{calculations}\) must produce.

Answer choices

Choose your path.

Preview only

Use the equations of the diagonals, because writing each line equation is enough to prove the diagonals bisect each other.

Use the midpoint formula, because diagonals bisect each other when both diagonals have the same midpoint.

Use the distance formula, because if the diagonals have the same length, that proves they bisect each other.

Use slope comparison, because if the diagonals have the same slope, that shows they cut each other into equal halves.

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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: Choose the coordinate method needed for a proof goal