Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″? A. Translated according to the rule (x, y) → (x + 7, y + 1) and reflected across the x‒axis
B. Translated according to the rule (x, y) → (x + 1, y + 7) and reflected across the x‒axis
C. Translated according to the rule (x, y) → (x + 7, y + 1) and reflected across the y-axis
D. Translated according to the rule (x, y) → (x + 1, y + 7) and reflected across the y-axis

A. Translated according to the rule (x, y) → (x + 7, y + 1) and reflected across the x‒axis

Step-by-step explanation:

Point A is at (-4, -2). Point A'' is at (3, 1). 7 is added to -4 to get 3. 1 is added to -2 to get -1. Now we have (3, -1). The rule for reflecting across the x-axis is (x, -y). (or x and the opposite of y). So now we have (3, 1) which is the location of A''.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have