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Learning Goal
Part of: Use coordinates to prove simple geometric theorems algebraically — 4 of 4 cluster items
Use distance formula for area
HSG.GPE.B.7
**HSG.GPE.B.7**: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
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HSG.GPE.B.7: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
What you'll learn
- Compute the perimeter of a polygon by summing the distances between consecutive vertices using the distance formula
- Compute the area of a rectangle in the coordinate plane using the lengths of its sides
- Compute the area of a triangle given the coordinates of its three vertices, using both the base-height method and the coordinate area formula
- Apply the Shoelace formula to compute the area of any simple polygon given its vertices in order
- Solve real-world and mathematical problems involving perimeters and areas of coordinate plane figures
Prerequisites
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises