Answer: Scaling factor is 2 for triangle ABC to triangle A’B’C’.

ΔA’B’C’ is a reduction of ΔABC and ΔA’B’C’ is similar to ΔABC. Step-by-step explanation: It is given that the triangle ABC is dilated to produce triangle A’B’C’ with scale factor 3/4.

To create a reduction with a scale factor of 1/2:

1. Draw straight lines connecting each vertex of the image to the center of dilation.
2. Use the compass to find the middle of each segment between the vertices and the center of dilation.
3. Connect the new vertices to create the reduction image.

You multiply each of the coordinates in the coordinate plane by 1/2. It’s going to be a reduction because when you multiply something lower than one, you get a smaller number.

The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. When the absolute value of the scale factor is less than one, a compression occurs.

A dilation (similarity transformation) is a transformation that changes the size of a figure. It requires a center point and a scale factor , k . The value of k determines whether the dilation is an enlargement or a reduction. If |k|>1 , the dilation is an enlargement.

The center of a dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.

“Once you are at 3 to 4cm and in active labour, the cervix generally dilates at about 1 cm per hour, though again it can be quicker. If things are progressing much slower than this, then your midwife may consider interventions to help.”

Dilation of the cervix alone does not determine when you are in a labor. In some cases, a woman may only be dilated 1 cm but experience strong and frequent contractions. Others may experience dilation even before labor begins.