Vertices of ΔXYZ are X(1, -3), Y(-2, -1) and Z(3, 1). For each translation, give the vertices of ΔXYZ'....

Question

1. Vertices of ΔXYZ are X(1, -3), Y(-2, -1) and Z(3, 1). For each translation, give the vertices of ΔXYZ'. T(-4,2)(ΔXYZ)
2. What translation rule maps A(9, -3) to A'(5, -1)?
3. What translation is shown below?
Give the coordinates of each image:
1. T(-1,-3)(ΔABC) for A(5, 0), B(1, 2), C(6, -3)
2. T(-1,4)(ΔDEF) for D(3, 3), E(2, 3), F(0, 2)

SnapAndSolve AI · Accepted Answer

To find the vertices of ΔXYZ' after the translation T_(-4,2), subtract 4 from the x-coordinates and add 2 to the y-coordinates of each vertex:
- X'(1-4, -3+2) = X'(-3, -1)
- Y'(-2-4, -1+2) = Y'(-6, 1)
- Z'(3-4, 1+2) = Z'(-1, 3)
The translation rule that maps A(9, -3) to A'(5, -1) is T_(-4,2) because:
- 5 = 9 - 4
- -1 = -3 + 2
The translation shown in the diagram is not visible, so no answer can be provided.
For the translation T_(-1,-3)(ΔABC):
- A'(5-1, 0-3) = A'(4, -3)
- B'(1-1, 2-3) = B'(0, -1)
- C'(6-1, -3-3) = C'(5, -6)
For the translation T_(-1,4)(ΔDEF):
- D'(3-1, 3+4) = D'(2, 7)
- E'(2-1, 3+4) = E'(1, 7)
- F'(0-1, 2+4) = F'(-1, 6)

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Vertices of ΔXYZ are X(1, -3), Y(-2, -1) and Z(3, 1). For each translation, give the vertices of ΔXYZ'....

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