Transformations Learning Lab | Beyond the Algorithm

INTERACTIVE EXPLORATION

Build a transformation

Start with a shape on the graph or enter its coordinates.

Start from

Shape

Original vertices (drag points on the graph)

Transformation

Coordinate rule

Show transformed image and coordinates Show coordinate rule

Coordinate plane

Drag the blue vertices to change the object. Original coordinates snap to integer grid points.

Original (preimage)Transformed image

The preimage and image use matching vertex labels (A → A′). Both are drawn on a graph with unit intervals and axes from −10 to 10.

CHECK YOUR UNDERSTANDING

Practice transformations

Generate problems, enter image coordinates, or click the graph to plot each image point.

Transformation

Difficulty

Question starts with

QUESTION 1

Enter the image coordinates

Tip: click a labeled row, then click the graph to enter that vertex's coordinates.

Hint

Practice graph

Plot A′, B′ and C′ on the graph, or type coordinates at left.

OriginalYour plotted points

In “Plotted shape” mode, read the original coordinates from the graph. In “Coordinates” mode, start from the coordinate list and plot the transformed image.

PRINTABLE ASSESSMENT PRACTICE

Generate a worksheet

Create fresh questions with coordinate grids and a separate optional answer key. Print directly or save as PDF from the print dialog.

Number of questions

Difficulty

Question format

Include transformations

Translation Reflection Rotation Dilation

Include answer key after student pages Include coordinate-rule reference on student pages

Printing uses your browser or device print dialog. Choose “Save as PDF” for a digital worksheet. Student pages and the answer key have separate headings.

Worksheet preview

Questions are randomized and checked to fit on the ±10 coordinate grid.

2 questions per A4 page, with labeled grids and space for image coordinates. All image points in the key are calculated from the stated transformation.