Question
Use the image to answer the question.
An illustration of a coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A pentagon upper H upper I upper J upper K upper L is plotted on the graph with the vertices marked as closed points. The vertices of the pentagon upper H upper I upper J upper K upper L are marked at upper H left parenthesis negative 3 comma 6 right parenthesis, upper I left parenthesis negative 1 comma 4 right parenthesis, upper J left parenthesis negative 1 comma 1 right parenthesis, upper K left parenthesis negative 4 comma 1 right parenthesis, and upper L left parenthesis negative 5 comma 4 right parenthesis.
Translate the figure HIJKL 3 units to the left. Which of the following would be a vertex in the translated figure?
(1 point)
Responses
(−7, 4)
left parenthesis negative 7 comma 4 right parenthesis
(−1, −2)
left parenthesis negative 1 comma negative 2 right parenthesis
(−6, 6)
left parenthesis negative 6 comma 6 right parenthesis
(2, 4)
left parenthesis 2 comma 4 right parenthesis
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To translate the figure HIJKL 3 units to the left, you would subtract 3 from the x-coordinate of each vertex.
The original coordinates of the vertices of the pentagon HIJKL are:
H (-3, 6)
I (-1, 4)
J (-1, 1)
K (-4, 1)
L (-5, 4)
By subtracting 3 from the x-coordinate of each vertex, the new coordinates of the translated figure would be:
H (-3 - 3, 6) = (-6, 6)
I (-1 - 3, 4) = (-4, 4)
J (-1 - 3, 1) = (-4, 1)
K (-4 - 3, 1) = (-7, 1)
L (-5 - 3, 4) = (-8, 4)
Therefore, the vertex in the translated figure would be (-6, 6).
So the correct answer is option (−6, 6).