Which graphs represents the correct translation of right triangle DEF on the coordinate plane with the following rule (x+3,y+1)?(1 point)
Responses
A coordinate plane shows all four quadrants with both axes ranging from negative 8 to 8 in increments of 1. Two right triangles are graphed on the plane. Three points labeled as upper D, upper E, and upper F are plotted at coordinates left parenthesis negative 3 comma negative 4 right parenthesis, left parenthesis negative 3 comma negative 1 right parenthesis, and left parenthesis 0 comma negative 4 right parenthesis, respectively. The three points are joined by solid lines to form triangle upper D upper E upper F whose base is upper D upper F, hypotenuse is upper E upper F, and perpendicular side is upper D upper E. Three other points labeled as upper D prime, upper E prime, and upper F prime are plotted at coordinates left parenthesis negative 6 comma negative 5 right parenthesis, left parenthesis negative 6 comma negative 2 right parenthesis, and left parenthesis negative 3 comma negative 5 right parenthesis, respectively. These three points are joined by dotted lines to form triangle upper D prime upper E prime upper F prime whose base is upper D prime upper F prime, hypotenuse is upper E prime upper F prime, and perpendicular side is upper D prime upper E prime.
Image with alt text: A coordinate plane shows all four quadrants with both axes ranging from negative 8 to 8 in increments of 1. Two right triangles are graphed on the plane. Three points labeled as upper D, upper E, and upper F are plotted at coordinates left parenthesis negative 3 comma negative 4 right parenthesis, left parenthesis negative 3 comma negative 1 right parenthesis, and left parenthesis 0 comma negative 4 right parenthesis, respectively. The three points are joined by solid lines to form triangle upper D upper E upper F whose base is upper D upper F, hypotenuse is upper E upper F, and perpendicular side is upper D upper E. Three other points labeled as upper D prime, upper E prime, and upper F prime are plotted at coordinates left parenthesis negative 6 comma negative 5 right parenthesis, left parenthesis negative 6 comma negative 2 right parenthesis, and left parenthesis negative 3 comma negative 5 right parenthesis, respectively. These three points are joined by dotted lines to form triangle upper D prime upper E prime upper F prime whose base is upper D prime upper F prime, hypotenuse is upper E prime upper F prime, and perpendicular side is upper D prime upper E prime.
A coordinate plane shows all four quadrants with both axes ranging from negative 8 to 8 in increments of 1. Two right triangles are graphed on the plane. Three points labeled as upper D, upper E, and upper F are plotted at coordinates left parenthesis negative 6 comma negative 5 right parenthesis, left parenthesis negative 6 comma negative 2 right parenthesis, and left parenthesis negative 3 comma negative 5 right parenthesis, respectively. The three points are joined by solid lines to form triangle upper D upper E upper F whose base is upper D upper F, hypotenuse is upper E upper F, and perpendicular side is upper D upper E. Three other points labeled as upper D prime, upper E prime, and upper F prime are plotted at coordinates left parenthesis negative 5 comma negative 2 right parenthesis, left parenthesis negative 5 comma 1 right parenthesis, and left parenthesis negative 2 comma negative 2 right parenthesis, respectively. These three points are joined by dotted lines to form triangle upper D prime upper E prime upper F prime whose base is upper D prime upper F prime, hypotenuse is upper E prime upper F prime, and perpendicular side is upper D prime upper E prime.
Image with alt text: A coordinate plane shows all four quadrants with both axes ranging from negative 8 to 8 in increments of 1. Two right triangles are graphed on the plane. Three points labeled as upper D, upper E, and upper F are plotted at coordinates left parenthesis negative 6 comma negative 5 right parenthesis, left parenthesis negative 6 comma negative 2 right parenthesis, and left parenthesis negative 3 comma negative 5 right parenthesis, respectively. The three points are joined by solid lines to form triangle upper D upper E upper F whose base is upper D upper F, hypotenuse is upper E upper F, and perpendicular side is upper D upper E. Three other points labeled as upper D prime, upper E prime, and upper F prime are plotted at coordinates left parenthesis negative 5 comma negative 2 right parenthesis, left parenthesis negative 5 comma 1 right parenthesis, and left parenthesis negative 2 comma negative 2 right parenthesis, respectively. These three points are joined by dotted lines to form triangle upper D prime upper E prime upper F prime whose base is upper D prime upper F prime, hypotenuse is upper E prime upper F prime, and perpendicular side is upper D prime upper E prime.
A coordinate plane shows all four quadrants with both axes ranging from negative 8 to 8 in increments of 1. Two overlapping right triangles are graphed on the plane. Three points labeled as upper D, upper E, and upper F are plotted at coordinates left parenthesis negative 6 comma negative 5 right parenthesis, left parenthesis negative 6 comma negative 2 right parenthesis, and left parenthesis negative 3 comma negative 5 right parenthesis, respectively. The three points are joined by solid lines to form triangle upper D upper E upper F whose base is upper D upper F, hypotenuse is upper E upper F, and perpendicular side is upper D upper E. Three other points labeled as upper D prime, upper E prime, and upper F prime are plotted at coordinates left parenthesis negative 3 comma negative 5 right parenthesis, left parenthesis negative 3 comma negative 2 right parenthesis, and left parenthesis 0 comma negative 5 right parenthesis, respectively. These three points are joined by dotted lines to form triangle upper D prime upper E prime upper F prime whose base is upper D prime upper F prime, hypotenuse is upper E prime upper F prime, and perpendicular side is upper D prime upper E prime. The two triangles intersect at points upper F and upper D prime.
Image with alt text: A coordinate plane shows all four quadrants with both axes ranging from negative 8 to 8 in increments of 1. Two overlapping right triangles are graphed on the plane. Three points labeled as upper D, upper E, and upper F are plotted at coordinates left parenthesis negative 6 comma negative 5 right parenthesis, left parenthesis negative 6 comma negative 2 right parenthesis, and left parenthesis negative 3 comma negative 5 right parenthesis, respectively. The three points are joined by solid lines to form triangle upper D upper E upper F whose base is upper D upper F, hypotenuse is upper E upper F, and perpendicular side is upper D upper E. Three other points labeled as upper D prime, upper E prime, and upper F prime are plotted at coordinates left parenthesis negative 3 comma negative 5 right parenthesis, left parenthesis negative 3 comma negative 2 right parenthesis, and left parenthesis 0 comma negative 5 right parenthesis, respectively. These three points are joined by dotted lines to form triangle upper D prime upper E prime upper F prime whose base is upper D prime upper F prime, hypotenuse is upper E prime upper F prime, and perpendicular side is upper D prime upper E prime. The two triangles intersect at points upper F and upper D prime.
A coordinate plane shows all four quadrants with both axes ranging from negative 8 to 8 in increments of 1. Two right triangles are graphed on the plane. Three points labeled as upper D, upper E, and upper F are plotted at coordinates left parenthesis negative 6 comma negative 5 right parenthesis, left parenthesis negative 6 comma negative 2 right parenthesis, and left parenthesis negative 3 comma negative 5 right parenthesis, respectively. The three points are joined by solid lines to form triangle upper D upper E upper F whose base is upper D upper F, hypotenuse is upper E upper F, and perpendicular side is upper D upper E. Three other points labeled as upper D prime, upper E prime, and upper F prime are plotted at coordinates left parenthesis negative 3 comma negative 4 right parenthesis, left parenthesis negative 3 comma negative 1 right parenthesis, and left parenthesis 0 comma negative 4 right parenthesis, respectively. These three points are joined by dotted lines to form triangle upper D prime upper E prime upper F prime whose base is upper D prime upper F prime, hypotenuse is upper E prime upper F prime, and perpendicular side is upper D prime upper E prime.
Image with alt text: A coordinate plane shows all four quadrants with both axes ranging from negative 8 to 8 in increments of 1. Two right triangles are graphed on the plane. Three points labeled as upper D, upper E, and upper F are plotted at coordinates left parenthesis negative 6 comma negative 5 right parenthesis, left parenthesis negative 6 comma negative 2 right parenthesis, and left parenthesis negative 3 comma negative 5 right parenthesis, respectively. The three points are joined by solid lines to form triangle upper D upper E upper F whose base is upper D upper F, hypotenuse is upper E upper F, and perpendicular side is upper D upper E. Three other points labeled as upper D prime, upper E prime, and upper F prime are plotted at coordinates left parenthesis negative 3 comma negative 4 right parenthesis, left parenthesis negative 3 comma negative 1 right parenthesis, and left parenthesis 0 comma negative 4 right parenthesis, respectively. These three points are joined by dotted lines to form triangle upper D prime upper E prime upper F prime whose base is upper D prime upper F prime, hypotenuse is upper E prime upper F prime, and perpendicular side is upper D prime upper E prime.
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The correct response is:
Image with alt text: A coordinate plane shows all four quadrants with both axes ranging from negative 8 to 8 in increments of 1. Two right triangles are graphed on the plane. Three points labeled as upper D, upper E, and upper F are plotted at coordinates left parenthesis negative 6 comma negative 5 right parenthesis, left parenthesis negative 6 comma negative 2 right parenthesis, and left parenthesis negative 3 comma negative 5 right parenthesis, respectively. The three points are joined by solid lines to form triangle upper D upper E upper F whose base is upper D upper F, hypotenuse is upper E upper F, and perpendicular side is upper D upper E. Three other points labeled as upper D prime, upper E prime, and upper F prime are plotted at coordinates left parenthesis negative 3 comma negative 4 right parenthesis, left parenthesis negative 3 comma negative 1 right parenthesis, and left parenthesis 0 comma negative 4 right parenthesis, respectively. These three points are joined by dotted lines to form triangle upper D prime upper E prime upper F prime whose base is upper D prime upper F prime, hypotenuse is upper E prime upper F prime, and perpendicular side is upper D prime upper E prime.