Question

Plz check

Answer 1

@mathstudent55

Answer 2

Correct.
In any rhombus, the diagonals bisect each other.
A square is a special case of a rhombus.

Answer 3

Shortest definition of square:
A square is a rectangular rhombus.

Answer 4

and the answer is 5?

Answer 5

Notice the first word of my first response above.

Answer 6

Yes, you are correct.

Answer 7

5 cm is the answer.

Answer 8

When segments bisect each other, they split each other into a pair of congruent segments.

Answer 9

Also, in any rectangle, the diagonals are congruent.
A square is a rectangle.

Answer 10

Ok, let me show you the logic in the steps of answering this question.

Answer 11

BD and AC are the diagonals of a square.
A square is a rectangle.
The diagonals of a rectangle are congruent.
Therefore, BD and AC are congruent.
The diagonals of a rectangle bisect each other.
That makes all the segments of the diagonals, AE, CE, DE and BE congruent and half of 10 cm.
All half diagonals are 5 cm.
Segment AE is a half diagonal, so AE has length 5 cm.