
Given the line of symmetry, find the other holes.
Answer
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Hint: The axis of symmetry is an imaginary line passing through a body or a figure which divides it into two equal parts or halves in terms of shape, mass or quantity. To find the other hole in the figure, we should look for symmetricity in this rectangular figure. The most common axes of symmetry are horizontal or vertical, if they are not present, we can check for inclined axes.
Complete step-by-step answer:The other hole will be at an equal distance from the axis of symmetry. Also, the line joining the two holes will be perpendicular to the axis of symmetry. So, we will draw an imaginary line perpendicular to the axis of symmetry and passing through the given hole as-
The given vertical line is perpendicular to the axis of symmetry, and the hole on the other side of the axis is at an equal distance from the axis, on the opposite side. This is the required hole.
Note: In finding the other holes, an easier method to solve such problems by assuming that a mirror is placed perpendicular to the plane on the axis of symmetry. The image that will be formed by the mirror will determine the position of the other hole. There can be only one image of a hole with respect to an axis of symmetry.
Complete step-by-step answer:The other hole will be at an equal distance from the axis of symmetry. Also, the line joining the two holes will be perpendicular to the axis of symmetry. So, we will draw an imaginary line perpendicular to the axis of symmetry and passing through the given hole as-
The given vertical line is perpendicular to the axis of symmetry, and the hole on the other side of the axis is at an equal distance from the axis, on the opposite side. This is the required hole.
Note: In finding the other holes, an easier method to solve such problems by assuming that a mirror is placed perpendicular to the plane on the axis of symmetry. The image that will be formed by the mirror will determine the position of the other hole. There can be only one image of a hole with respect to an axis of symmetry.
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