Problem preview

G-GPE.4 Warmup M2-043-A14-V02

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

Interpret a coordinate-proof result as a geometric conclusion

Problem

What does this coordinate-proof result mean geometrically: slope product is \(-1\)?

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Because the slopes multiply to -1, the two lines must be perpendicular.

Because the slopes multiply to -1, the two segments must be congruent.

Because the slopes multiply to -1, the two lines must have the same slope.

Because the slopes multiply to -1, the two lines must be parallel.

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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: Interpret a coordinate-proof result as a geometric conclusion