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'?
A maps onto A’, B maps onto B’, C maps onto C’, and D maps onto D’.
Which side of Trapezoid ABCD maps to each side of Trapezoid A'B'C'D'?
AB maps onto A’B’, BC maps onto B'C', CD maps onto C'D', and DA maps onto D'A'.
What do you notice about the measures of the corresponding angles in the pre-image and the image?
The corresponding angles have the same measure and are in the same relative order.
The corresponding angles have the different measure and are in a different 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.
Yes, the image is congruent to the pre-image. All corresponding sides and angles are congruent, so the figures are congruent.
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?
The figure’s location on the plane changes.
What stays the same about a figure after a translation?
Size
Parallel Lines are still Parallel
Shape
Orientation
Angle Measures
What information do you need to perform a translation?
vertex coordinates
distance
direction
name of the figure
Close
Check
Try again
Information: Translations on a Plane