Question

1. select all statements that are not true about dilations. if the scale factor is greater than 1, the new figure will be smaller than the original. if the scale factor is smaller than 1, the new figure will be smaller than the original. if the scale factor is equal to 1, the original figure will be bigger than the original.

Explanation:

Step1: Recall dilation rules

If scale - factor $k>1$, new figure is larger. If $0 < k<1$, new figure is smaller. If $k = 1$, new and original are congruent.

Step2: Analyze first statement

If scale factor $k>1$, new figure should be larger, not smaller. So this statement is false.

Step3: Analyze second statement

If $0 < k<1$, new figure is smaller. This statement is true.

Step4: Analyze third statement

If $k = 1$, new and original are the same size. So this statement is false.

Answer:

The statements "If the scale factor is greater than 1, the new figure will be smaller than the original." and "If the scale factor is equal to 1, the original figure will be bigger than the new figure." are not true.