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Draw the Image

Part of the Transformations & Constructions section of Coddy's Geometry journey. Lesson 2 of 60.

In a translation, every corner moves by the same step. Every side keeps its length and its direction. So to draw the image, move the three corners and join them with lines.

With coordinates, $\langle a,\ b \rangle$ moves each point like this: $(x,\ y) \to (x + a,\ y + b)$ . For example, $\langle -2,\ 3 \rangle$ moves K(4, 1) to K'(2, 4), because $4-2 = 2$ and $1+3 = 4$ .

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

Challenge

Draw the image of triangle ABC after the translation ⟨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

All lessons in Transformations & Constructions

1Translations

Sliding a ShapeDraw the ImageThe 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