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Question
John draws a square on a coordinate plane. Then, he draws an image of the square 3 units to the right of the original square. What is true about the corresponding sides on the original figure and the image?

The corresponding sides are skew.
The corresponding sides are skew.

The corresponding sides intersect at one point.
The corresponding sides intersect at one point.

The corresponding sides intersect at an infinite number of points.
The corresponding sides intersect at an infinite number of points.

The corresponding sides are parallel.


Sagot :

The appropriate answer is Option D. The corresponding sides are parallel.

A square is a quadrilateral with equal length of sides, and a sum of internal angle of [tex]360^{o}[/tex].

Placing a square on a coordinate plane refers to its location on the plane using its coordinate points x and y. Now drawing the image of the given square 3 units to the right of the original square will produce an image with exact characteristics as the original. So that the lengths and orientation of both shapes are the same.

Thus, the corresponding sides on both figures would be parallel to each other, since the sides are straight not slant.

Therefore, the required answer is option D. The corresponding sides are parallel.

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