The coordinates of the vertices of A ABC are A(-1, 1), B(-2, 3), and C(-5, 1). The coordinates of the vertices of A A'B'C' are A'(-1, –4), B (-2, –6), and C'(-5, – 4).
Which statement correctly describes the relationship between A ABC and A A'B'C'
A ABC is congruent to A A'B'C' because you can map A ABC to A A'B'C' using a reflection across the x-axis
followed by a translation 3 units down, which is a sequence of rigid motions.
A ABC is congruent to A A'B'C' because you can map A ABC to A A'B'C' using a translation 5 units down
followed by a reflection across the x-axis, which is a sequence of rigid motions
A ABC is congruent to A A'B'C' because you can map A ABC to A A'B'C'' using a translation 3 units down
followed by a reflection across the x-axis, which is a sequence of rigid motions
A ABC is not congruent to A A'B'C' because there is no sequence of rigid motions that maps A ABC to A A'B'C''
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d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

the one below it is a function

just pick what you think i need more time let me know if this

step-by-step explanation: