Relationship between Different Quadrilaterals

Q. What are the common properties of rhombus and rectangle?

1. They have equal side lengths.
2. Opposite angles are equal in measure.
3. Diagonals are of same length.
4. Diagonals meet each other at ${90}^o.$
5. Diagonals are angle bisectors.
6. Diagonals bisect each other.

1. 1, 2
2. 2, 6
3. 2, 5, 6
4. 2, 4

Q. Name the quadrilateral(s) which satisfy: Opposite sides are equal in length.

1. Parallelogram, Rectangle and Sqauare
2. Parallelogram, Rectangle, Rhombus and Sqauare
3. Rhombus, Rectangle and Sqauare
4. Parallelogram, Rectangle and Rhombus

Q. All squares are ______ but all _______ are not squares.
Which of the followings can fill the blank.

1. Trapezoid
2. Parallelogram
3. Rhombus
4. Rectangle

Q. Which properties of a square are different from properties of a parallelogram?

1. The opposite sides are parallel.
2. The opposite sides are equal in length.
3. Diagonals bisect each other at ${90}^o.$
4. Diagonals are equal in length.

Q. Name the quadrilateral(s) which satisfy: Measures of all the interior angles are equal.

1. Parallelogram, Rectangle and Sqauare
2. Rectangle and Sqauare
3. Parallelogram and Sqauare
4. None of the above

Q. A rhombus can be converted into a square shape without change in length of any of its sides.
Which of following conversion can take place without change in length of sides of both shapes.

1. Isosceles trapezoid from trapezoid
2. Parallelogram from trapezoid
3. Rectangle from Parallelogram
4. Rectangle from square

Q. Name the quadrilateral(s) which satisfy: Diagonals bisect each other.

1. Parallelogram, Rectangle, Rhombus and Sqauare
2. Parallelogram, Rectangle and Sqauare
3. Rhombus, Rectangle and Sqauare
4. Parallelogram, Rectangle and Rhombus

Q. Name the quadrilateral(s) which satisfy: Diagonals are perpendicular bisector of each other.

1. Parallelogram and Sqauare
2. Rectangle and Sqauare
3. Rhombus and Rectangle
4. Rhombus and Sqauare

Q.

Explain how a square is a parallelogram.

Q. The dimensions of two diagonals are given, which are equal in length. However, they are not perpendicular to each other. What type of quadrilateral can be drawn with the provided information?

1. Any trapezoid
2. Any Parallelogram
3. Any Square
4. Any Rectangle

Q. Name the quadrilateral(s) which satisfy: Opposite angles are equal in measure.

1. Parallelogram, Rectangle and Sqauare
2. Parallelogram, Rectangle, Rhombus and Sqauare
3. Rhombus, Rectangle and Sqauare
4. Parallelogram, Rectangle and Rhombus

Q. Name the quadrilateral(s) which satisfy: Opposite sides are parallel.

1. Parallelogram, Rectangle and Sqauare
2. Rhombus, Rectangle and Sqauare
3. Parallelogram, Rectangle and Rhombus
4. Parallelogram, Rectangle, Rhombus and Sqauare

Q. Which quadrilateral is incorrectly placed in the given diagram?

1. Square
2. Rectangle
3. Parallelogram
4. Trapezoid

Q. Name the quadrilateral(s) which satisfy: Adjacent angles measure ${90}^{\circ }$ and adjacents side lengths are equal.

1. Parallelogram
2. Rectangle
3. Rhombus
4. Square

Q. Name the quadrilateral(s) which satisfy: Diagonal lengths are equal.

1. Rhombus and Sqauare
2. Parallelogram and Sqauare
3. Rectangle and Sqauare
4. Rhombus and Rectangle

Q. Name the quadrilateral(s) which satisfy: Side lengths are equal.

1. Rhombus and Sqauare
2. Parallelogram and Sqauare
3. Rectangle and Sqauare
4. Rhombus and Rectangle