Geometry · Foundation · 5 min

Translations

A translation adds one displacement vector to every point.

WHAT HAPPENS IF…Can a translation turn a horizontal side vertical?
Interactive exploration
Loading the mathematical model…

Connect the picture to the ideaT(x,y)=(x+dx,y+dy)T(x,y)=(x+d_x,y+d_y)

For any two points P and Q, the translated difference is (Q+d)−(P+d)=Q−P. Therefore all distances, angles, area, and orientation are unchanged. Translation generally moves the origin, unlike a linear map.

A detail that matters

Moving different vertices by different amounts is not a translation.

Keep the connection going

One idea leads to another.

More geometry ↗