Question

21. In the given figure, ABCD is a parallelogram. X is the midpoint
of AB. If produced CX intersects produced DA at Y, then prove
that AYBC is a parallelogram.
QUADRILATERALS
8.21
С
А
x х
B
ANSWERS​

Answer 1

Step-by-step explanation:

• A simple closed curve made up of only line segments is called a

polygon.

• A diagonal of a polygon is a line segment connecting two nonconsecutive vertices.

• A convex polygon is a polygon in which no portion of its any

diagonal is in its exterior.

• A quadrilateral is a polygon having only four sides.

• A regular polygon is a polygon whose all sides are equal and also

all angles are equal.

• The sum of interior angles of a polygon of n sides is (n-2) straight

angles.

• The sum of interior angles of a quadrilateral is 360°.

• The sum of exterior angles, taken in an order, of a polygon is 360°.

• Trapezium is a quadrilateral in which a pair of opposite sides is

parallel.

• Kite is a quadrilateral which has two pairs of equal consecutive

sides.

• A parallelogram is a quadrilateral in which each pair of opposite

sides is parallel.