Which of the following is not true every square is a rectangle every parallelogram is a trapezium?

A kite is not a parallelogram.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A parallelogram is a quadrilateral.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Square, rectangle and rhombus are all parallelograms.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

All rectangles are squares.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Get the answer to your homework problem.

Try Numerade free for 7 days

Ohio State University

We don’t have your requested question, but here is a suggested video that might help.

Which statement is false? All squares are quadrilaterals. I a quadrilateral is a parallelogram; then it is a rectangle: If a quadrilateral is & square, then it is & d_ parallelogram All squares are parallelograms

Full Marks Mathematics 9>Quadrilaterals>TEST YOUR SKILLS>Q 16

1. Quadrilaterals:

(i) The sum of the angles of a quadrilateral is 360°.

(ii) A quadrilateral is a parallelogram if its opposite sides are equal.

(iii) A quadrilateral is a parallelogram if its opposite angles are equal.

(iv) The diagonals of a quadrilateral bisect each other if it is a parallelogram.

(v) A quadrilateral is a parallelogram if one pair of opposite sides are equal and parallel.

(vi) The quadrilateral formed by joining the mid-points of the sides of a quadrilateral, in order, is a parallelogram.

2. Parallelogram:

(i) A diagonal of a parallelogram divides it into two congruent triangles.

(ii) Two opposite angles of a parallelogram are equal.

(iii) The diagonals of a parallelogram bisect each other.

(iv) In a parallelogram, the bisectors of any two consecutive angles intersect at a right angle.

(v) If a diagonal of a parallelogram bisects one of the angles of the parallelogram it also bisects the second angle.

(vi) The angles bisectors of a parallelogram form a rectangle.

(vii) ​​​​​​​Diagonals of a parallelogram are equal if and only if it is a rectangle.

(viii) ​​​​​​​Diagonals of a parallelogram are perpendicular if and only if it is a rhombus.

(ix) ​​​​​​​If the diagonals of a parallelogram are equal and intersect at right angles, then it is a square.

3. Rectangle and Square:

(i) Each of the four angles of a rectangle is a right angle.

(ii) ​​​​​​​The diagonals of a rectangle are of equal length.

(iii) ​​​​​​​The diagonals of a square are equal and perpendicular to each other.

4. Rhombus:

(i) Each of the four sides of a rhombus is of the same length.

(ii) The diagonals of a rhombus are perpendicular to each other.

5. The Mid-point Theorem:

(i) The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it.

(ii) A line through the mid-point of a side of a triangle parallel to another side bisects the third side.

We know that quadrilaterals have four sides and four angles. To know more about what makes the angles of a quadrilateral special, involve yourself with this...

The line segment in a triangle joining the midpoint of two sides of the triangle is parallel to its third side and is also half of the length of the third side.

Do you know if a line drawn through the midpoint of one side of a triangle and parallel to the second side bisects the third side? Watch this video and learn...

Grab a pen, paper, and some scissors and join along as you create your own triangle and prove the Midpoint Theorem in front of your very eyes.

Have you noticed a TV, an envelope or a kite? They all have a similar shape. Such a shape is called a quadrilateral. Let’s learn more about the types of quad...

Songs! You love them, don't you? Let's groove with the beats of this song and learn more about the properties of a parallelogram! Are you ready?