Learn on PengiReveal Math, Course 1Module 8: Area

8-5 Polygons on the Coordinate Plane

In this Grade 6 lesson from Reveal Math Course 1, Module 8, students learn how to graph polygon vertices on the coordinate plane and calculate perimeter and area by subtracting x- or y-coordinates to find side lengths. The lesson covers both regular and irregular polygons, including rectangles and multi-sided figures, using coordinate subtraction to determine distances between points.

Section 1

Graphing Polygons on the Coordinate Plane

Property

A geometric shape can be drawn on a coordinate plane by plotting its corners, called vertices. Each vertex is an ordered pair (x, y). Once plotted, you connect the vertices with straight line segments to form the polygon.

Examples

  • Plot the vertices A(2, 1), B(7, 1), and C(4, 5). Connect the points in order from A to B to C and back to A to form a triangle.
  • Plot the vertices for a rectangle: P(1, 2), Q(8, 2), R(8, 5), and S(1, 5). To plot P(1, 2), start at the origin (0,0), move right 1 on the x-axis, and up 2 on the y-axis.

Explanation

Become a shape detective! The coordinate plane is just a grid that acts like a map. Each ordered pair (x, y) gives you exact walking directions to a corner of your shape. Always remember to "walk into the elevator" (move horizontally for x) before you "go up or down" (move vertically for y).

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Graphing Polygons on the Coordinate Plane

Property

A geometric shape can be drawn on a coordinate plane by plotting its corners, called vertices. Each vertex is an ordered pair (x, y). Once plotted, you connect the vertices with straight line segments to form the polygon.

Examples

  • Plot the vertices A(2, 1), B(7, 1), and C(4, 5). Connect the points in order from A to B to C and back to A to form a triangle.
  • Plot the vertices for a rectangle: P(1, 2), Q(8, 2), R(8, 5), and S(1, 5). To plot P(1, 2), start at the origin (0,0), move right 1 on the x-axis, and up 2 on the y-axis.

Explanation

Become a shape detective! The coordinate plane is just a grid that acts like a map. Each ordered pair (x, y) gives you exact walking directions to a corner of your shape. Always remember to "walk into the elevator" (move horizontally for x) before you "go up or down" (move vertically for y).