What happens to the diagonal of a rectangle when the rectangle is reflected across a line of symmetry? What does this suggest about the diagonals of rectangles?

A shape with a line of symmetry will land on itself, when reflected across the line of symmetry. The true statements are:

From the question, we understand that; the rectangle is reflected across the line of symmetry

When this is done, the half of the rectangle will land directly on the other half.

This means that, the diagonal of the rectangle will land perfectly on the other diagonal

The statement above suggests that, the diagonal of a rectangle is also a line of symmetry of the rectangle.

Read more about lines of symmetry and diagonals at:

link

When you reflect a diagonal over a line of symmetry, the diagonal will land perfectly on the other diagonal (and vice versa). This suggests that one diagonal is a mirror copy of the other.

Another way to put it: The vertex points of the rectangle will swap when we reflect over a line of symmetry. A diagonal is simply the opposite vertex points joined together. So this is why the diagonals swap places (because the vertices line up perfectly when you apply the reflection).

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .