Question

Please I really need help This is my last point Show workings please

Answer 1

Step-by-step explanation:

By rotating a figure,

The length of its sides remain the same.

Therefore line AB = line A'B'.

=> 5x - 14 = 4x + 4

=> x = 18

Hence, line AB = 5(18) - 14 = 76.

Answer 2

Answer:

The length of AB = 76 units.

Step-by-step explanation:

We know that Rotations, just like reflections, and translations, are termed isometric.

In other words, these transformations do not alter the size of the figure.

If the size and shape of the figure are not altered, then the figures are termed as congruent.

Given

AB = 5x-14

A'B' = 4x+14

As A'B'C'D' is obtained by rotating ABCD,

so

AB = A'B'

substituting AB = 5x-14 and A'B' = 4x+14

5x-14 = 4x+14

5x - 4x = 14+14

x = 18

Thus,

AB = 5x-14

substitute x = 18

AB = 5(18)-14

AB = 90 - 14

AB = 76

Therefore, the length of AB = 76 units.