Properties, Characteristics and proofs: True / false

Let's think about the different types of lines.

Looking at side AB and side CD, we can see that if we extend both 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.

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.

In a square all sides are equal to one another, meaning that all the sides measure 5 cm.

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

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