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# What is the converse of if a quadrilateral is a square then it is a rectangle?

## What is the converse of if a quadrilateral is a square then it is a rectangle?

If a quadrilateral has four congruent sides and four right angles, then it’s a square (reverse of the square definition). If two consecutive sides of a rectangle are congruent, then it’s a square (neither the reverse of the definition nor the converse of a property).

## Which statement is the converse of if a figure is a square then it is a parallelogram?

Converse is “Is q, then p” and Contrapositive is “If not q, then not p”. “If a parallelogram is not a rhombus, then it is not a square”.

Why if a quadrilateral is a square then it is a rectangle?

Square is a quadrilateral with four equal sides and angles. It’s also a regular quadrilateral as both its sides and angles are equal. Just like a rectangle, a square has four angles of 90° each. It can also be seen as a rectangle whose two adjacent sides are equal.

What is the converse of the statement if a quadrilateral?

converse: If a quadrilateral has four congruent sides, then it is a square. biconditional: A quadrilateral is a square if and only if it has four congruent sides.

### What is converse statement?

The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of “If two lines don’t intersect, then they are parallel” is “If two lines are parallel, then they don’t intersect.” The converse of “if p, then q” is “if q, then p.”

### Which statement is the converse of the given statement?

If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true….Converse, Inverse, Contrapositive.

Statement If p , then q .
Converse If q , then p .
Inverse If not p , then not q .
Contrapositive If not q , then not p .

What theorem on rectangle justifies that a square is a rectangle?

THEOREM: If a parallelogram is a rectangle, it has congruent diagonals. THEOREM Converse: If a parallelogram has congruent diagonals, it is a rectangle.

What is the converse of the statement if a shape is a square then it must have 4 sides?

Conditional: If a polygon is a quadrilateral, then it has four sides. Converse: If a polygon has four sides, then it is a quadrilateral. Literature Notice that both statements in Example 2 have the same truth value.

#### Which is true if a quadrilateral is a square?

The following statement is true or false, gives its converse, inverse and contra-positive: ‘If a quadrilateral is a square, then it is a rectangle.’ ‘If a quadrilateral is a square, then it is a rectangle.’ The given statement is true.

Is it true that a square is always a rectangle?

A square is both a rhombus and rectangle. Therefore, a square is always rectangle. Hence, the given statement is true. Converse: A quadrilateral is square when a quadrilateral is rectangle.

Which is true if the converse is true?

If the converse is true, then the inverse is also logically true. Example 1: Statement. If two angles are congruent, then they have the same measure. Converse. If two angles have the same measure, then they are congruent. Inverse. If two angles are not congruent, then they do not have the same measure. Contrapositive.

## How are conditional statements related to converse, inverse, contrapositive?

Converse, Inverse, Contrapositive. Given an if-then statement “if p , then q ,” we can create three related statements: A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause.