Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: which two transformations can map figure 1 onto figure 2? select one: a. reflection across the y-axis, followed by reflection across x-axis b. reflection across the x-axis, followed by reflection across y-axis c. reflection across the x-axis, followed by translation 10 units right d. reflection across the y-axis, followed by translation 5 units down

I found the figure and take advantage to attache it for any reference.

c. Reflection across the x-axis, followed by translation 10 units right 
Explanation:

1) The vertices of figure 1 are: (-3, 4); (-4, 7); (-5, 2); (-6, 5)

2) The vertices of figure 2 are: (7, - 4); (6, -7); (5, -2); (4, -5)

3) Since, many sets of two transformations can transform the figure 1 into the figure 2, you need to probe each pair of the choice statements.

4) This proves that the statements of the option C. yield the figure 2:

1) Reflection across the x-axis.

A reflection across the x-axis, keeps the x-coordinate, and change the y-coordinate to its opposite (negative). This is: (x, y) → (x - y).

Use that rule on the 4 vertices of the figure 1 and you get:

(-3, 4) → (-3, -4);
(-4, 7) → (-4, -7);
(-5, 2) → (-5, -2);
(-6, 5) → (-6, -5)

2) Translation 10 units right

A translation of 10 units transforms the points (x,y) into (x + 10, y): (x,y) → (x + 10), y)

Apply that rule:
(-3, -4) → (-3 + 10, -4) = (7, -4)

(-4, -7) → (-4 + 10, 7) = (6, -7)

(-5, -2) → (-5 + 10, -2) = (5, -2)
(-6, -5) → (-6 + 10, -5) = (4, - 5)

Then, it has been proven that the two transformations given in the option C. transforms figure 1 onto figure 2.

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.