A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/3 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 3 units and up 2 units. How does the image triangle compare to the pre-image triangle?

The image triangle compare to the pre-image triangle will be similar due to dilation.

Step-by-step explanation:

As given in the question ,the sequence of transformation undergone by a triangle are :-

Due to the process of  dilation, the two triangles will be similar. Another important factor is that the  scale factor is less than one and is a reduction, thus, the image  will be smaller than the pre-image but the triangle will be similar

The  transformations mentioned in the above statement altered the position and scale of the triangle, but the angle measures of both the triangle remains the same.

Thus we can say that

The image triangle compare to the pre-image triangle will be similar due to dilation.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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step-by-step explanation: