Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
1. Translations
Continue to next subchapter

Exercise 20 Page 178

Use the translation to move the points by subtracting 1 from the x-coordinate and adding 3 to the y-coordinate of each vertex.

Practice makes perfect

Before we try to translate the given points, let's draw the triangle â–ł PQR on a coordinate plane using the given points. This triangle will be our preimage.

Now that we have the preimage, we can create the image using the translation (x,y) → (x-1,y+3). This translation tells us that for every point in △ PQR, we should subtract 1 from the x-coordinate and add 3 to the y-coordinate. ccc (x,y) &→ &(x-1,y+3) [0.8em] P(-2,3) &→ & P'(-2-1,3+3) = P'(-3,6) Q(1,2) &→ & Q'(1-1,2+3) = Q'(0,5) R(3,-1) &→ & R'(3-1,- 1+3)= R'(2,2) Now we have the points for the image. Let's add them to the same coordinate plane as the preimage.