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#### On a coordinate grid, parallelogram XVUW was translated six units to the right and seven units down to produce parallelogram X'V'U'W. Which of the following rules best sums up this change?

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The parallelogram XVUW was found to have migrated 6 units to the right and 7 units down.

We must add 6 to the x-coordinate in order to move 6 units to the right.
Removing 7 units from the y-coordinate requires us to deduct 7.

Thus, the following rule will characterize this transformation:

(x + 6, y – 7) → (x,y)

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#### Examine the following graph of a linear function:

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The point on the graph where the line crosses the y-axis is known as the y-intercept.

Thus, the line intersects the y-axis at (0,10).

The y-intercept is therefore 10.

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#### When a figure is transformed using one of the following methods on a coordinate grid, which one does not preserve congruency?

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Congruence preservation in this context refers to the requirement that the transformation's shape and size remain unchanged.

Since they do not alter the figure's shape, translations, reflections, and rotations are the appropriate transformations.

Dilation, however, modifies the figure's size and shape. Thus, congruence is not preserved.