Question

The first hexagon is dilated to form the second hexagon. Select answers from the drop-down menus to correctly complete the statements. The scale factor is . This represents . A hexagon with a side length of 5. An arrow points to a larger hexagon with a side length of 6.25

Answer 1

Answer: The scale factor is 1.3 .

Explanation:

Given: The first hexagon is dilated to form the second hexagon.

The side length of first hexagon=5 units.

The side-length of second hexagon= 6.25 units

When a shape having measure x is dilated by using a scalar factor of k, then the side measure (y) of the image is given by:-

`y=kx`

Substitute, y=6.5 and x=5 to find the value of k we get

`6.5=5k\\\Rightarrow\ k=(6.5)/(5)=1.3`

Hence, the scale factor is 1.3