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:
Translation involves moving a shape away from its original position.
To translate the entire triangle, you need to
From the question, we understand that:
Assume that, the coordinates of the triangle is as follows
[tex]\mathbf{A = (1,2)}[/tex]
[tex]\mathbf{B = (3,5)}[/tex]
[tex]\mathbf{C = (-1,5)}[/tex]
Assume one of the vertices of the image is:
[tex]\mathbf{A' = (3,4)}[/tex]
The first thing to do is to get the translation rule from points A and A'
This is calculated using:
[tex]\mathbf{(x,y) = A' - A}[/tex]
So, we have:
[tex]\mathbf{(x,y) = (3,4) - (1,2)}[/tex]
[tex]\mathbf{(x,y) = (2,2)}[/tex]
The above equation means that, the translation rule is:
[tex]\mathbf{(x,y) \to (x + 2,y + 2)}[/tex]
So, the next step is to apply the translation rule on points B and C
[tex]\mathbf{B = (3,5)}[/tex]
The image of B becomes:
[tex]\mathbf{B' =(3 + 2, 5 +2)}[/tex]
[tex]\mathbf{B' =(5, 7)}[/tex]
[tex]\mathbf{C = (-1,5)}[/tex]
The image of C becomes:
[tex]\mathbf{C' = (-1 + 2, 5 + 2)}[/tex]
[tex]\mathbf{C' = (1, 7)}[/tex]
Hence, the step to translate the entire triangle is:
Read more about translations at:
https://brainly.com/question/12463306
