Question

You are given the coordinates of a triangle and coordinates for only one of the vertices of its image under a translation. Explain how to translate the entire triangle.

Answer 1

Answer:

Translations move every point on a figure the same distance and direction. You can use the one vertex and its image to find the rule that maps the triangle to its image. This rule can then be used to find the images of the other vertices of the triangle. Plot the vertices and connect them to form the image of the triangle.

Step-by-step explanation:

Answer 2

We determine the translation vector from known original and resulting points and apply this result on every point of the triangle to translate the entire figure without deformation.

From the viewpoint of linear algebra, a point on a plane can be translated by means of the following formula:

$V'(x,y) = V(x,y) + T(x,y)$ (1)

Where:

• $V(x,y)$ - Coordinates of the original point.
• $V'(x,y)$ - Coordinates of the resulting point.
• $T(x,y)$ - Translation vector.

In other words, the translation vector is derive by subtraction between resulting point and original point:

$T(x,y) = V'(x,y) - V(x,y)$ (2)

And we can translate the entire triangle by applying the same translation vector on every point of the figure to translate the figure without deformation.

We kindly invite to check this question on translations: https://brainly.com/question/12463306