Answer:
The true statements are:
The rule for the translation can be written as T-3, 1(x, y). ⇒ 1st
The rule for the translation can be written as (x, y) → (x - 3, y + 1) ⇒ 4th
Step-by-step explanation:
Let us revise the rule of the translation:
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
The vertices of trapezoid ABCD are:
A (-1 , -2) , B (1 , -2) , C (2 , -5) , D (-2 , -5)
The vertices Of trapezoid A'B'C'D' are:
A' (-4 , -1) , B' (-2 , -1) , C' (-1 , -4) , D' (-5 , -4)
Trapezoid ABCD is translated to form Trapezoid A'B'C'D'
By using the rules of translation above:
∵ A = (-1 , -2) and A' = (-4 , -1)
- The rule of translation is (x , y) → (x + h , y + k)
∵ x = -1 and x + h = -4
∴ -1 + h = -4
- Add 1 to both sides
∴ h = -3
∵ y = -2 and y + k = -1
∴ -2 + k = -1
- Add 2 to both sides
∴ k = 1
The rule of translation is (x , y) → (x - 3 , y + 1)
The trapezoid ABCD has been translated 3 units to the left and 1 unit up
You can check your answer by doing the same steps with the other 3 vertices you will have the same values of h and k
The true statements are:
The rule for the translation can be written as T-3, 1(x, y).
The rule for the translation can be written as (x, y) → (x - 3, y + 1)
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