Draw a Tilted Rectangle
Part of the Polygons & Quadrilaterals section of Coddy's Geometry journey. Lesson 33 of 61.
A rectangle needs right angles, and on squared paper you can build them from steps. Swap the two numbers of a step and turn one of them round: 2 across and 1 up is at right angles to 1 back and 2 up.
Here AB goes 4 across and 2 up, and BC goes 1 back and 2 up. Those steps are at right angles, because 2 across and 1 up (half of AB's step) and 1 back and 2 up are swapped with one number turned round. CD and DA repeat the two steps backwards, so all four corners are right angles.
The board checks the corners exactly, so close the shape on grid points.
Challenge
A and B are grid points, and AB goes 1 across and 1 up. Draw a rectangle that has AB as one of its sides and is not a square. Then press Check.
Try it yourself
Draw it on squared paper
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Polygons & Quadrilaterals
1Polygons
Polygons and DiagonalsAngles of a QuadrilateralAngles in Any PolygonPolygon Angles with xHow Many Sides?Recap: Polygon Angles4Parallelograms
ParallelogramsNeighbouring AnglesOpposite AnglesParallelograms with xA Diagonal InsideRecap: Parallelograms7On Squared Paper
Make a ParallelogramDraw a Tilted RectangleDraw a RhombusDraw a Trapezoid and KiteRecap: Squared Paper2Regular Polygons
Regular PolygonsFrom an Angle to the SidesInside a Regular PolygonRecap: Regular Polygons5Rectangles, Rhombi, Squares
RectanglesThe Diagonal of a RectangleRhombus AnglesSquaresRecap: Special Parallelograms3Exterior Angles
Exterior AnglesExterior Angles Make 360°Regular Exterior AnglesSides from the ExteriorRecap: Exterior Angles6Trapezoids and Kites
TrapezoidsIsosceles TrapezoidsTrapezoids with xKitesRecap: Trapezoids and Kites