Triangles and quadrilaterals are polygons, and that is the only common feature between them.
A triangle can be: equilateral, isosceles acute, isosceles obtuse, right angled, isosceles right angled. The incentre will always be within all the above 5 types of triangles, The circumcentre will be inside an equilateral triangle and an isosceles acute triangle. But the circumcentre will be on the hypotenuse of a right angled triangle and out side an isosceles obtuse triangle.
A convex quadrilateral can be a square, rectangle, trapezium, isosceles trapezium, rhombus, and a kite. A square, rectangle, isosceles trapezium and a kite are cyclic quadrilaterals. But a trapezium and a rhombus are not cyclic. An irregular quadrilateral can be cyclic but not in all cases. A square, a trapezium, a rhombus, a kite and an isosceles trapezium can have incircles. A rectangle cannot have an incircle. All the interior angles are acute angles, right angles or obtuse angles.
A concave quadrilateral has one reflex angle and the other three are acute.
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Answer:
Triangles and quadrilaterals are polygons, and that is the only common feature between them.
A triangle can be: equilateral, isosceles acute, isosceles obtuse, right angled, isosceles right angled. The incentre will always be within all the above 5 types of triangles, The circumcentre will be inside an equilateral triangle and an isosceles acute triangle. But the circumcentre will be on the hypotenuse of a right angled triangle and out side an isosceles obtuse triangle.
A convex quadrilateral can be a square, rectangle, trapezium, isosceles trapezium, rhombus, and a kite. A square, rectangle, isosceles trapezium and a kite are cyclic quadrilaterals. But a trapezium and a rhombus are not cyclic. An irregular quadrilateral can be cyclic but not in all cases. A square, a trapezium, a rhombus, a kite and an isosceles trapezium can have incircles. A rectangle cannot have an incircle. All the interior angles are acute angles, right angles or obtuse angles.
A concave quadrilateral has one reflex angle and the other three are acute.