Question

Trapezoid WXYZ with vertices W(0,8), X(2,9), Y(3,6) , and Z(-1,4) :

a) translated along the vector langle 2.-7rangle

Answer 1

To translate trapezoid WXYZ along the vector ⟨2,-7⟩, add the components of the vector to the coordinates of each vertex of the trapezoid.

Step-by-step explanation:

To translate trapezoid WXYZ along the vector ⟨2,-7⟩, we need to add the components of the vector to the coordinates of each vertex of the trapezoid. Let's go step by step.

1. Calculate the x-component of the translation: x-component of the translation = 2
2. Calculate the y-component of the translation: y-component of the translation = -7
3. Translate each vertex:

• New coordinates for vertex W: W'(2,1)
• New coordinates for vertex X: X'(4,2)
• New coordinates for vertex Y: Y'(5,-1)
• New coordinates for vertex Z: Z'(1,-3)

Therefore, when trapezoid WXYZ is translated along the vector ⟨2,-7⟩, the new coordinates of the vertices are W'(2,1), X'(4,2), Y'(5,-1), and Z'(1,-3).