Properties, Characteristics and proofs: True / false

A square has sides measuring 5 cm.

Is AB parallel to CD?

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

Yes

ABCD is a square with sides measuring 4 cm.

Is ABCD a rectangle?

Since we are given that a square appears in the drawing, we will remember that every pair of opposite sides are parallel.

Let's think about the properties of a rectangle, and remember that in a rectangle, every pair of opposite sides are also parallel.

Therefore, the answer is correct and the quadrilateral ABCD is a rectangle.

Yes

A square has side lengths

equal to 4 cm.

Is the distance between BD and AC equal to the length of BD?

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 argue that the distance between BD and AC is indeed equal to 4 since CD is also equal to 4.

Yes

A square has sides measuring 5 cm.

Do its diagonals intersect?

Yes