The Line y = x

Part of the Transformations & Constructions section of Coddy's Geometry journey. Lesson 7 of 60.

Take every corner of a triangle and swap its two coordinates. For example, (1, 3) becomes (3, 1). Where does the triangle end up?

The line $y = x$ goes diagonally through (0, 0), (1, 1) and (2, 2). On this line, the two coordinates are equal.

Challenge

Swap the coordinates of each corner of triangle ABC. Drag A', B' and C' to these new points. Then look at where the image is.

Then press Check.

Try it yourself

$Move the shape onto its target$

Move the shape onto its target

All lessons in Transformations & Constructions

1Translations

4Combining Moves

7Drawing on Squared Paper

10Perpendiculars and Parallels

2Reflections

5Dilations

8Compass and Straightedge

11Constructed Shapes