Which is not true for all palelogram?

Answer 1

To determine which statement is not true for all parallelograms, let's review the properties of parallelograms in general. A parallelogram is a quadrilateral with the following properties:

1. Opposite sides are parallel.

2. Opposite sides are equal in length.

3. Opposite angles are equal.

4. Consecutive angles are supplementary (i.e., their sum is 180 degrees).

5. Diagonals bisect each other (each diagonal cuts the other into two equal parts).

Given these properties, we can formulate some statements about parallelograms and identify which one is not universally true. Here are a few statements, with one being false:

1. Opposite sides of a parallelogram are parallel.

2. Opposite angles of a parallelogram are equal.

3. The diagonals of a parallelogram are equal in length.

4. The diagonals of a parallelogram bisect each other.

Analysis:

• **Statement 1** is true: By definition, opposite sides of a parallelogram are parallel.

• **Statement 2** is true: Opposite angles in a parallelogram are equal.

• **Statement 4** is true: The diagonals of a parallelogram bisect each other.

Statement 3: The diagonals of a parallelogram are equal in length

This statement is **not true for all parallelograms**. It is only true for special types of parallelograms such as rectangles and squares, where the diagonals are equal. In a general parallelogram, the diagonals are not necessarily of equal length.

Thus, the statement **"The diagonals of a parallelogram are equal in length"** is not true for all parallelograms.

Answer 2

Except for a rectangle all parallelograms do not have equal interior angles although they do add up to 360 degrees.