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Question about Symmetry in Relation to Axes

Mathematics

Originais Teachy

Symmetry in Relation to Axes

Easy

(Originais Teachy 2024) - Question Easy of Mathematics

During the Arts class, the 7th grade students were challenged to create a symmetrical drawing through paper folding. After the folding, it was observed that one of the drawings formed a figure that could be divided into two identical halves when compared to a symmetry axis. The final drawing, after opening the paper, revealed that the figure was symmetrical in relation to a vertical axis. If one of the points of the original drawing was located 5 centimeters from the symmetry axis, what should be the location of the corresponding point on the opposite half of the drawing, in relation to the same symmetry axis?
a.
The location of the corresponding point on the opposite half of the drawing, in relation to the same symmetry axis, is directly on the axis, canceling the initial distance of 5 centimeters.
b.
The location of the corresponding point on the opposite half of the drawing, in relation to the same symmetry axis, is a distance of 5 centimeters from the axis, in the opposite direction to the original point.
c.
The corresponding point on the opposite half of the drawing, in relation to the same symmetry axis, will be at a distance of 10 centimeters from the axis, on the same side as the original point.
d.
After opening the paper, it is not possible to determine the location of the corresponding point in relation to the symmetry axis, as the 5 centimeters distance is altered by the folding process.
e.
The corresponding point on the opposite half of the drawing, in relation to the same symmetry axis, will be at a distance of 2.5 centimeters from the axis, on the same side as the original point.

Answer sheet:

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