Parallelograms Diagonal Properties - Free MCQ Practice Test with solutions,

In a parallelogram, the following statements are correct:

• Diagonals bisect each other, meaning they cut each other in half.
• Adjacent angles are supplementary, which means they add up to 180 degrees.
• Opposite sides are equal in length.
• Opposite sides are parallel to each other.

Therefore, all the listed statements about the properties of a parallelogram are true.

Let x = the length of a side of the square

So area of square = x² = 50cm²

We know that, the diagonals of a rhombus are perpendicular bisector of each other.
Given,  AC = 16 cm and BD = 12 cm        [let]
∴ AO = 8cm, SO = 6cm
and  ∠AOB = 90°
In right angled ∠AOB,

- A diagonal of a parallelogram creates two triangles.
- These triangles are congruent because:
- A diagonal is a common side for both triangles.
- Opposite angles in a parallelogram are equal.
- Alternate interior angles are equal due to parallel sides.
- Using these equal angles and the shared side, the triangles are congruent by the ASA (Angle-Side-Angle) criterion.
- Therefore, the correct answer is C: Triangles.