Question

9 what scale factor can be used to dilate ms to create mk if m is the center of the dilation? which is the old part and which is the new part? scale factor is the ratio of (new length)/(old length). always rtfq - read the frickin question - make sure your answering what was asked and not leaping to an erroneous conclusion. your answer 10 what scale factor can be used to dilate mk to create ms if m is the center of the dilation? which is the old part and which is the new part? scale factor is the ratio of (new length)/(old length). always rtfq - read the frickin question - make sure your answering what was asked and not leaping to an erroneous conclusion.

Explanation:

Step1: Identify old and new lengths for first - question

We are dilating MS to create MK. So, the old length is MS and the new length is MK. Let the length of MS be \(x\) and the length of MK be \(y\). Assume the distance between each tick - mark is 1 unit. Counting the tick - marks, if we assume MS has 8 units and MK has 3 units.

Step2: Calculate scale factor for first - question

The scale factor \(k_1=\frac{MK}{MS}\). If \(MK = 3\) and \(MS=8\), then \(k_1=\frac{3}{8}\).

Step3: Identify old and new lengths for second - question

We are dilating MK to create MS. So, the old length is MK and the new length is MS.

Step4: Calculate scale factor for second - question

The scale factor \(k_2=\frac{MS}{MK}\). If \(MK = 3\) and \(MS = 8\), then \(k_2=\frac{8}{3}\).

Answer:

1. \(\frac{3}{8}\)
2. \(\frac{8}{3}\)