How many sides does a quadrilateral have?

The sum of all the angles of a quadrilateral is 

If one of a parallelogram is 90⁰ and all sides are equal , then it is called a

A rhombus is

In the following figure, ABCD is a parallelogram. Find the value of x

In the following figure, ABCD is a rhombus. If AC = 8 cm and DB = 6 cm, then the length of BC is

If a pair of opposite sides of a quadrilateral is equal and parallel, then the quadrilateral is a

The quadrilateral formed by joining the mid-points of the sides of the rhombus taken in order is a

If in quadrilateral ABCD; ∠A=90° and AB=BC=CD=DA, then ABCD is a square.

Two consecutive angles of a parallelogram are in the ratio 1 : 3, then what will be the smaller angles?

D, E, F are the mid-points of sides BC, CA and AB of ΔABC. If perimeter of ΔABC is 12·8 cm, then perimeter of ΔDEF is: .....

If an angle of a parallelogram in two-third of its adjacent angle then find the measure of all the angles,

The angles of a quadrilateral are (4x°),(7x°),(15x°) and (10x°).Find the smallest and largest angles of the quadrilateral.

If angles of a quadrilateral are in ratio 1 : 2 : 3 : 4. Find the measure of all the angles of a quadrilateral.

The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle is 50°. Find the angles of a parallelogram

The angles of a quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral.

Diagonal AC of a parallelogram ABCD bisects \(\angle A\) (see figure). Show that:
(i) it bisects \(\angle C\) also
(ii) ABCD is a rhombus.

PQRS is a parallelogram and PL and RM are perpendiculars drawn from the vertices P and R of the parallelogram on diagonal SQ. Show that
(i) ΔPQL ≡ ΔRMS
(ii) PL = RM

Show that each angle of a rectangle is a right angle.

In a quadrilateral ABCD, the line segments bisecting  \(\angle \)C and \(\angle \) D meet at E. Prove that \(\angle \)A+\(\angle \)B=2\(\angle \)CED

ABCD is a square and on the side DC, an equilateral triangle is constructed. Prove that:
(i) AE = BE
(ii) ㄥDAE=15°

In the given figure ABCD is a parallelogram and E is the mid-point of AD. A line through D, drawn parallel to EB, meets AB produced at F and BC at L Prove that
(i) AF = 2DC
(ii) DF = 2DL

Rani has a photo-frame without a photo in the shape of a triangle with sides a, b, c in length. She wants to find the perimeter of a triangle formed by joining the mid-points of the sides of the photoframe. She could not understand how to overcome this problem. She shares this problem with her classmate Renu. Renu helps her and the required perimeter is computed.
(i) Find the perimeter of the triangle formed by joining the mid-points of the frame.
(ii) Which mathemetical concept is used in the above problem?
(iii) Which value is depicted between Rani and Renu?