Question

how many dioganals does a convex quadrilateral have/

Answer 1

Answer:

Two Diagonals

Step-by-step explanation:

• What is a convex quadrilateral ?

A convex quadrilateral is a polygon with four edges and four vertices whose interior angle measures less than 180°.

• What is a diagonal ?

A diagonal is just two straight line joining opposite sides of a quadrilateral.

In the case of a convex quadrilateral, no matter how hard you try , you can connect those two straight lines , with a straight line only twice. So , a convex quadrilateral can only have two diagonals.

What's interesting out ?

• quadri means a variant of four, and latus, means "side" in Latin words. And surprisingly , name sticks even till today.

• There are seven known types of quadrilateral. They are :- Trapezium, Parallelogram, Rectangle, Rhombus, Square, Kite.

Answer 2

Question :-

how many diagonals does a convex quadrilateral ?

Answer :-

a convex quadrilateral have two diagonals .

Extra explanation :-

• what is quadrilateral ?

=> joining Four Points in an order is called quadrilateral .

• How many types of quadrilateral are there ?

=> there are about 6 types of quadrilaterals .

1. trapezium
2. parallelograms
3. square
4. rectangle
5. rhombus
6. kite

( Diagrams in attachment )

• what is the angle sum property of quadrilateral ?

=> the sum of angles of a quadrilateral is 360 degree .

• what is convex quadrilateral ?

=> a convex quadrilateral is a polygon which is having for edges and four vertices and the sum of interior angle of it is 180 degrees .

Points to remember :-

in quadrilateral formed by joining the midpoints of the sides of a quadrilateral in order is a parallelogram .

diagonals of a rectangle bisect each other and are equal and vice versa .

a line through the midpoint of a side of triangle parallel to another side bisects the third side .

diagonals of a Rhombus bisect each other at right angles and vice versa

diagonals of a square bisect each other at right angle and are equal and vice versa .