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G-GPE.7 Warmup M1-046-A08-V04

Use coordinate methods to compute polygon perimeters and areas of triangles/rectangles.

Use the coordinate area formula on ordered vertices

Problem

Use the shoelace formula on the ordered vertices \(A(-1,2),~B(3,2),~C(-1,6)\). Give the shoelace sum and the polygon's area.

Source coordinate polygon: Triangle ABC has vertices A(-1,2), B(3,2), and C(-1,6), listed in order; no shoelace products or area are shown. Open full size
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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-GPE.7
Category
Geometry
Domain
Expressing Geometric Properties with Equations
Objective
Use coordinate methods to compute polygon perimeters and areas of triangles/rectangles.
Problem type
Use the coordinate area formula on ordered vertices