Envision Math 2.0: Grade 8, Volume 2
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Envision Math 2.0: Grade 8, Volume 2 View details
Review

Exercise 1 Page 366

Translations are done by adding or subtracting values from the x-coordinate if the figure is being moved left or right, and from the y-coordinate is the figure if being moved up or down.

polygons
Practice makes perfect

We are given the graph of the trapezoid. Let's name its vertices A, B, C and D.

polygon

Translations are done by adding or subtracting values from the x-coordinate if the figure is being moved left or right, and from the y-coordinate is the figure if being moved up or down. We want to draw the image of our figure after a translation 3 units to the left and 2 units up. Therefore, we will subtract 3 from the x-coordinate and add 2 to the y-coordinate of each vertex.

Vertices of ABCD (x-3,y+2) Vertices of A'B'C'D'
A(0.5,2) (0.5 - 3,2 + 2) A'(- 2.5, 4)
B(3.5,2) (3.5 - 3,2 + 2) B'(0.5,4)
C(5,- 3) (5 - 3,- 3 + 2) C'(2,- 1)
D(- 1,- 3) (- 1 - 3,- 3 + 2) D'(- 4,- 1)
Let's do the translation!
translation