An Introduction to Translations

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Chris S.

Description An Introduction to Translations

After this lesson, you will be able to translate a shape along a vector to a new position in the coordinate plane.

The lesson begins by teaching you that translation in a plane moves an object along a vector. It leads you to learn that translations of points, lines, segments and rays result in those same objects. It concludes that translations preserve segment length and angle measure, which means the translation of a shape is congruent to the original shape.

Learn about translations by helping Sanje create a mandala featuring repeated shapes!

This video includes key concepts, notation, and vocabulary such as translation (moving a shape in the plane, along a vector); vector (a directed line segment that tells us how far to move the object and in what direction); the notation for an object and the translation of that object (If we translate point A, the resulting point is called A’, that is, A prime).

Before watching this video, you should already be familiar with points, segments, lines, rays, quadrilaterals and triangles, as well as the concept of points and slopes in the coordinate plane.

After watching this video, you will be prepared to learn apply translation to any polygon, and observe the congruence of the result to the original.

Common Core Standard(s) in focus: 8.G.A.1 A video intended for math students in the 8th grade Recommended for students who are 13 - 14 years old