Fill in the blanks:

(i) A quadrilateral has ……………..sides.


(ii) A quadrilateral has……………. angles.


(iii) A quadrilateral has……………. vertices, no three of which are……………..


(iv) A quadrilateral has ……………..diagonals.


(v) A diagonal of a quadrilateral is a line segment that joins two………………. vertices of the quadrilateral.


(vi) The sum of the angles of a quadrilateral is ………………..

(i) Four



AB, BC, CD and DA are four sides of this quadrilateral


A quadrilateral is polygon having four sides and four corners.


(ii) four



A, B, C and D are four angles of this quadrilateral


A quadrilateral is polygon having four sides and four corners.


(iii) Four, collinear



A, B, C and D are the four vertices of this quadrilateral.


In quadrilateral, no three out of four vertices are collinear. If all the vertices are collinear then we will get a line segment and if three out of four vertices is collinear, we will get a triangle.


(iv) two



A diagonal is a line segment that joins two opposite vertices of the quadrilateral.


AC and BD are the two diagonals of the quadrilateral ABCD.


(v) opposite



A diagonal is a line segment that joins two opposite vertices of the quadrilateral.


AC and BD are the two diagonals of the quadrilateral ABCD.


(vi) 360o



ABCD is a quadrilateral and AC is a diagonal. Now, we get two triangles


∆ ABC and ∆ ACD.


As we know that sum of angles of triangle is 18


So, sum of two triangles will be 18 X 2 = 36


i.e., the sum of the angles of a quadrilateral is 360°


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