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Draw a Rhombus

Part of the Polygons & Quadrilaterals section of Coddy's Geometry journey. Lesson 34 of 61.

A rhombus needs four equal sides. On squared paper, the length of a step comes from the Pythagorean theorem: a step of 4 across and 1 up is √(16 + 1) = √17 long, and so is 1 across and 4 up.

$A rhombus on grid points with sides 3 across 1 up and 1 across 3 up$

Here AB goes 3 across and 1 up, and AD goes 1 across and 3 up. Both are √10 long. Copy the steps for the opposite sides and the four sides are equal. Its corners are not right angles, so it is a rhombus but not a square.

Challenge

A and B are grid points, and AB goes 2 across and 1 up. Draw a rhombus that has AB as one of its sides and is not a square. Then press Check.

Try it yourself

$Draw it on squared paper$

Draw it on squared paper

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