Which sequence of transformations produces TriangleL'M'N' from TriangleLMN? a translation 5 units down and 2 units to the right
followed by a reflection across the y-axis a reflection across the y-axis followed by a translation 5 units down and 2 units right a translation 5 units down and 2 units to the left followed by a reflection across the y-axis no sequence of transformations
2 answers:
Answer:
<u>A translation 5 units down and 2 units to the right followed by a reflection across the y-axis </u>
Step-by-step explanation:
The rest of the questions is the attached figure.
The coordinates of Δ LMN ⇒ L(2,1) , M(1,1) , N(1,3)
The coordinates of Δ L'M'N' ⇒ L'(-4,-4) , M'(-3,-4) , N'(-3,-2)
So, the reasonable transformations will be:
A translation 5 units down and 2 units to the right followed by a reflection across the y-axis
The rule of a translation 5 units down and 2 units to the right
(x,y) → (x+2 , y-5)
The rule of reflection across the y-axis (x,y) → (-x , y)
So, the general rule of a translation 5 units down and 2 units to the right followed by a reflection across the y-axis will be:
The rule will be (x,y) → (x+2 , y-5) → (-[x+2] , y-5)
We will check the rule:
L(2,1) → (4,-4) → (-4,4) = L'
N(1,3) → (3,-2) → (-3,-2) = N'
So, the answer is:
A translation 5 units down and 2 units to the right followed by a reflection across the y-axis
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