What is the length of a 20cm long segment after central streaching with a scale factor 1/2?

1/2 * 20 = ____ cm

10cm

40cm

To find the length of a segment after central stretching with a scale factor, you multiply the original length of the segment by the scale factor. In this case, the original length of the segment is 20cm, and the scale factor is 1/2.

To calculate the length of the stretched segment, you would multiply the original length of 20cm by the scale factor of 1/2:

Length of stretched segment = Original length * Scale factor
Length of stretched segment = 20cm * 1/2

To multiply a number by a fraction, you multiply the numerator (the top number) with the number you are multiplying, and then divide the result by the denominator (the bottom number).

Length of stretched segment = 20cm * 1 ÷ 2
Length of stretched segment = 20cm ÷ 2
Length of stretched segment = 10cm

So, the length of the 20cm long segment after central stretching with a scale factor of 1/2 is 10cm.