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Draw the Image

Part of the Transformations & Constructions section of Coddy's Geometry journey. Lesson 2 of 61.

To draw a translated shape, move its corners one at a time and let the sides follow. A translation keeps every side the same length and pointing the same way, so the moved corners, joined up, give the image.

$Triangle KLM and its image after the translation by negative 2, 3$

Here the vector is ⟨-2, 3⟩. K(4, 1) goes 2 left and 3 up to K'(2, 4), and L and M move by the same step. The image of K is written K' and read "K prime".

On the board each image corner is a hollow point. Drag it to where its corner lands (arrow keys move a selected point one step), then press Check.

Challenge

Draw the image of triangle ABC after the translation by ⟨3, -4⟩. Drag A', B' and C' to their places, then press Check.

Try it yourself

$Move the shape onto its target$

Move the shape onto its target

Test yourself

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

All lessons in Transformations & Constructions

1Translations

Sliding a ShapeDraw the ImageImage Coordinates The Translation Rule Recap: Translations

4Combining Moves

One Move, Then Another Order Matters Two Mirrors Name the Move Recap: Combining Moves

7Drawing on Squared Paper

Lengths by Pythagoras Perpendicular Steps Squares by Area Right Triangles by Area Midpoints on the Grid Recap: Squared Paper

10Perpendiculars and Parallels

Perpendicular From a Point Perpendicular at a Point Parallel Through a Point Tools You Have Earned Recap: Parallels