Question

(02.02 MC)

Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below:


Figure 1 is at (5, 8) (4, 4) (6, 2)
(7, 6) . Figure 2 is at (-5, -2)
(-7, -4) (-4, -6) (-6, -8) .

Which two transformations can map figure 1 onto figure 2? (6 points)


A) Reflection across the y-axis, followed by translation 10 units down


B) Reflection across the y-axis, followed by reflection across x-axis


C) Reflection across the x-axis, followed by reflection across y-axis


D) Translation 11 units left, followed by translation 10 units down

Answer 1

First, plot the coordinates so you can easily see the parallelograms. The points in blue is the original parallelogram, while the points in orange form the parallelogram after the transformation.

As you can observe, the two properties form a mirror image (reflection) vertically (or across the y-axis). However, it is moved downwards by 10 units. To guide you, count the units of distance between the two topmost points of each of the two parallelograms. The answer is letter A.