Question

Determine if the conclusion of salad. Give a thorough explanation of your answer. Given segment AC is perpendicular to segment cd, segment AC is congruent to segment BD conclusion ABCD is a square

Answer 1

The given conclusion that ABCD is a square is not valid.

Given that, AC⊥BD and AC≅BD.

We need to determine if the given conclusion is valid.

What are the properties of squares?

A square is a closed figure with four equal sides and the interior angles of a square are equal to 90°. A square can have a wide range of properties. Some of the important properties of a square are given below.

• A square is a quadrilateral with 4 sides and 4 vertices.
• All four sides of the square are equal to each other.
• The opposite sides of a square are parallel to each other.
• The interior angle of a square at each vertex is 90°.
• The diagonals of a square bisect each other at 90°.
• The length of the diagonals is equal.

Given that, the diagonals of a quadrilateral are perpendicular to each other and the diagonals of a quadrilateral are equal.

Now, from the properties of a square, we understood that the diagonals of a square are perpendicular to each other and the diagonals of a square are equal.

So, the given quadrilateral can be a square. But only with these two properties can not conclude the quadrilateral is a square.

Therefore, the given conclusion that ABCD is a square is not valid.

To learn more about the properties of a square visit:

brainly.com/question/20377250.

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