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Make a Parallelogram

Part of the Polygons & Quadrilaterals section of Coddy's Geometry journey. Lesson 32 of 61.

On squared paper every segment between grid points has a step: how far it goes across and how far up. From A to B below is 3 across and 1 up. Two segments are parallel when their steps point the same way, and the opposite sides of a parallelogram have exactly the same step.

$Parallelogram ABCD on grid points: AB and DC both go 3 across and 1 up$

Here AB goes 3 across and 1 up, and so does DC, from D to C. AD goes 2 across and 3 up, and so does BC. So ABCD is a parallelogram. To finish one from three corners A, B and C, start at A and copy the step from B to C.

Challenge

Three corners A, B and C of a quadrilateral are fixed. Drag D to the grid point that makes ABCD a parallelogram, then press Check.

Try it yourself

$Drag the figure and watch$

Drag the figure and watch

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Polygons & Quadrilaterals

2Regular Polygons

Regular Polygons From an Angle to the Sides Inside a Regular Polygon Recap: Regular Polygons

5Rectangles, Rhombi, Squares

Rectangles The Diagonal of a Rectangle Rhombus Angles Squares Recap: Special Parallelograms

8Area of Parallelograms

Area of a Rectangle A Side from the Area Slide the Top Area of a Parallelogram Recap: Parallelogram Area

11Polygon Chases

Parallel Sides in a Pentagon Marks, Not Looks Pentagon with x Regular Shapes Together Recap: Polygon Chases