Which graph shows a dilation? On a coordinate plane, 2 rectangles are shown. The larger rectangle is 8 units wide and 4 units high. The smaller rectangle is 4 units wide and 2 units high. On a coordinate plane, a square and a rectangle are shown. The square is 2 units wide and 2 units high. The rectangle is 8 units wide and 4 units high. On a coordinate plane, 2 rectangles are shown. The larger rectangle is 7 units wide and 4 units high. The smaller rectangle is 3 units wide and 2 units high. On a coordinate plane, 2 rectangles are shown. The larger rectangle is 7 units wide and 4 units high. The smaller rectangle is 3 units wide and 1 unit high.

The larger rectangle is 8 units wide and 4 units high. The smaller rectangle is 4 units wide and 2 units high

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

therefore

If the graph shows a dilation. then the ratio of the corresponding sides of the figures must be proportional

we have

The larger rectangle is 8 units wide and 4 units high. The smaller rectangle is 4 units wide and 2 units high

The corresponding sides are

8 units wide and 4 units wide

4 units high and 2 units high

the ratio is

----> is true

so

The figures are similar

therefore

The graph show a dilation

The other options the corresponding sides are not proportional

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: