Properties, Characteristics and proofs: True / false

We know that the figure shows a square and that, in a square, every pair of opposite sides are parallel.

We also know that every pair of opposite sides in a rectangle are parallel as well.

Therefore, the quadrilateral ABCD is indeed a rectangle.

Firstly, let's think about the properties of a square—remembering that all sides are equal to each other.

In other words, all sides in the square are equal to 4 cm. As a result, we can determine that the distance between BD and AC is indeed equal to 4 since CD is also equal to 4.

Let's think about the different definitions of different lines.

Looking at side AB and side CD, we can see that if we extend either of them, they will never intersect.

Also, according to the properties of a rectangle, each pair of opposite sides are parallel to each other.

Therefore, the answer is correct and indeed AB is parallel to CD

In a square all sides are equal to each other, meaning all sides are equal to 5 cm.

Furthermore in a square, all angles are equal, they are right angles and equal to 90 degrees.

Therefore, we can determine that the diagonal divides each angle into 2 angles of 45 degrees, thus the diagonals must intersect.