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 of the original figure and the image?
A. The corresponding sides are skew.
B. The corresponding sides intersect at one point.
C. The corresponding sides intersect at an infinite number of points.
D. The corresponding sides are parallel.
To determine the relationship between the corresponding sides of the original square and the image, we need to understand the translation process.
When John moves the square 3 units to the right, it means that all points of the image have been shifted horizontally by 3 units.
Since the image is the exact copy of the original square, it means that corresponding sides of both squares have the same lengths and are parallel. The translation only affects the position of the squares, not their shapes or dimensions.
Therefore, the correct answer is:
D. The corresponding sides are parallel.
try this with squares of various orientations
one thing is always true
think again
nothing has changed but the location, right?