Translations on a Plane

Explore

Drag the Red dot to see how a slide or translation can occur.

Extended Thinking

Which angle in Trapezoid ABCD maps to each angle of Trapezoid A'B'C'D'?

Which side of Trapezoid ABCD maps to each side of Trapezoid A'B'C'D'?

What do you notice about the measures of the corresponding angles in the pre-image and the image?

The corresponding angles have the different measure and are in a different order. The corresponding angles have the same measure and are in the same relative order.

What do you notice about the lengths of the corresponding sides in the pre-image and the image?

The corresponding sides have different lengths. The corresponding sides have the same length.

Is the image congruent to the pre-image? Explain your reasoning.

You Try

Now that we see how sliding a figure works, let's try translating our own figure.

What changes about a figure after a translation?

What stays the same about a figure after a translation?

Shape Orientation Parallel Lines are still Parallel Angle Measures Size

What information do you need to perform a translation?

vertex coordinates direction name of the figure distance

Translations on a Plane

Explore

Extended Thinking

You Try

Information: Translations on a Plane