Use the image to answer the question.
A coordinate plane's x-axis ranges from negative 12 to 1 and its y-axis ranges from negative 6 to 7, both by 1-unit increments. 6 points are marked and plotted forming 2 triangles, 1 solid and 1 dotted.
What kind of translation has been made to triangle ABC?
(1 point)
Responses
Triangle ABC has been translated 3 units to the left and 7 units up.
Triangle upper A upper B upper C has been translated 3 units to the left and 7 units up.
Triangle ABC has been translated 3 units to the right and 6 units down.
Triangle upper A upper B upper C has been translated 3 units to the right and 6 units down.
Triangle ABC has been translated 2 units to the right and 7 units down.
Triangle upper A upper B upper C has been translated 2 units to the right and 7 units down.
Triangle ABC has been translated 3 units to the right and 7 units down.
Triangle ABC has been translated 3 units to the right and 7 units down.
To determine the translation that has been made to triangle ABC, we need to compare the original position of the triangle to its current position. The x-axis ranges from negative 12 to 1, and the y-axis ranges from negative 6 to 7, both by 1-unit increments.
Looking at the options given, we can eliminate the choices that do not reflect a 3-unit left and 7-unit up translation or a 3-unit right and 6-unit down translation.
Now, let's analyze the image and identify the points of the triangle. Based on the description, there are 3 points marked and plotted to form a triangle. We'll refer to these points as A, B, and C.
Next, we need to compare the positions of the triangle's vertices in the original and current location. By visually examining the image, we can see that the current position of triangle ABC is obtained by moving the original position of the triangle 3 units to the left and 7 units up.
Therefore, the correct answer is:
Triangle ABC has been translated 3 units to the left and 7 units up.