Which sequence of transformations would result in a figure that is similar, but not congruent, to the original figure?

select all that apply.

a. a dilation with a scale factor of 1.9 followed by a rotation of –30°
b. a dilation with a scale factor of 0.1 followed by a translation of 5 units left
c. a reflection across the y-axis followed by a dilation with a scale factor of 10
d. a rotation about the origin of 65° followed by a reflection across the x-axis

The correct answers are:

A.a dilation with a scale factor of 1.9 followed by a rotation of –30° ; B.a dilation with a scale factor of 0.1 followed by a translation of 5 units left ; and C.a reflection across the y-axis followed by a dilation with a scale factor of 10

Explanation:

A dilation shrinks or stretches a figure.  This means it creates a figure that is similar to, but not congruent to, the original figure.  All of the figures with dilations will be similar but not congruent to the original figure.

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.