## Is rectangle a parallelogram prove or disprove?

There are 5 different ways to prove that this shape is a parallelogram. Choose one of the methods. – Show that both pairs of opposite sides are congruent. – Show that both pairs of opposite sides are parallel….Prove it is a Rectangle.

Statements | Reasons |
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AC ≅ BD | CPCTC |

### Is it true that parallelogram is a rectangle?

A parallelogram is a rectangle. This is sometimes true. Â It is true when the parallelogram has 4 right angles.

**Which of these properties is enough to prove that a given parallelogram is also a rectangle?**

THEOREM Converse: If a parallelogram has congruent diagonals, it is a rectangle. the figure joining, in order, the midpoints of the sides of a rectangle is a rhombus, and the figure joining, in order, the midpoints of the sides of a rhombus is a rectangle. A rhombus is a parallelogram with four congruent sides.

**Why is every rectangle a parallelogram?**

A parallelogram is a quadrilateral with 2 pairs of parallel sides. The opposite sides on every rectangle are parallel, so every rectangle is a parallelogram. 8.

## What condition will make parallelogram ABCD a rectangle?

A rectangle is a parallelogram with all four angles being right angles. In a parallelogram, if one angle is a right angle, then all four angles are right (why?). ABCD is a rectangle. Theorem: The two diagonals of a rectangle are congruent.

### How do you determine whether a parallelogram is a rectangle?

If the diagonals of a parallelogram are congruent, then it’s a rectangle (neither the reverse of the definition nor the converse of a property). If a parallelogram contains a right angle, then it’s a rectangle (neither the reverse of the definition nor the converse of a property).

**How do you prove it is a rectangle?**

There are several easy ways to prove it is a rectangle.

- Show that all angles are 90 degrees.
- Show that one set of sides is parallel ,and that two opposite angles are 90 degrees.
- Show that the diagonals bisect each other, and that they are equal in length.

**How is a rectangle a parallelogram?**

The vertices join the adjacent sides at 90° angles, which means the opposite sides of the rectangle are parallel lines. Since it has two sets of parallel sides and two pairs of opposite sides that are congruent, a rectangle has all of the properties of a parallelogram. That’s why a rectangle is always a parallelogram.

## What condition makes parallelogram math a rectangle?

Theorem 16.5: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

### How do you prove that it is a rectangle?

**How are rectangle and parallelogram related?**

The opposite internal angles of both a parallelogram and rectangle are equivalent. The main difference is that a rectangle always has angles of 90°, while that of a parallelogram may vary. In other words, the angles of a rectangle are always equal, or equiangular.

**Why are all parallelograms not rectangles?**

A rectangle is considered a special case of a parallelogram because: A parallelogram is a quadrilateral with 2 pairs of opposite, equal and parallel sides. A rectangle is a quadrilateral with 2 pairs of opposite, equal and parallel sides BUT ALSO forms right angles between adjacent sides.