Grade 6 Math · Geometry

Draw polygons from coordinates

Draw polygons from coordinates.

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What you’ll learn

Draw polygons from coordinates.

Key idea

Axis-aligned edges hold one coordinate fixed; perpendicular edges vary the other coordinate.

Consecutive vertices must share the appropriate coordinates; read x before y and do not confuse the named corner with a neighboring vertex.

Worked example

Enter the exact value or ordered values in the format requested below.

The graph joins A-B-C-D-A. Read vertex C as an ordered pair.

-6-4-202466420-2-4-6DCABxy

Marked coordinates: D=(-3, -1); C=(2, -1); A=(-3, -3); B=(2, -3).

  1. AB has constant y=-3 and horizontal change 5; BC has constant x=2 and vertical change 2.
  2. D combines A's x-coordinate -3 with C's y-coordinate -1, closing the axis-aligned rectangle.

Answer: (2,-1)

Quick Check

Relate the graph used in 'Draw polygons from coordinates' to an equation, table, transformation, or verbal description.

Connect the coordinate graph A-B-C-D-A to a shape description and side directions.

-6-4-202466420-2-4-6DCABxy

Marked coordinates: D=(-3, 0); C=(2, 0); A=(-3, -2); B=(2, -2).

Choose one answer

Show a hint

Follow the named vertices in their specified order and read x before y.