Why rectangle is a convex quadrilateral

Data Handling 6. Squares and Square Roots 7. Cubes and Cube Roots 8. Comparing Quantities 9. Algebraic Expressions and Identities Visualising Solid Shapes Mensuration Exponents and Powers Direct and Inverse Proportions Factorisation Introduction to Graphs Q5 Explain why a rectangle is a convex quadrilateral. Looking to do well in your science exam? Learn from an expert tutor. Book a free class! Solution: A rectangle is a convex quadrilateral since its vertex is raised and both of its diagonals lie in its interior.

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Selina Question Bank. Physics Class 6 Class 7 Class 8. Biology Class 6 Class 7 Class 8. Allied Question Bank. Chemistry Class 6 Class 7 Class 8. Connect with us on social media! A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. How to Prove that a Quadrilateral Is a Rectangle If all angles in a quadrilateral are right angles, then it's a rectangle reverse of the rectangle definition.

If the diagonals of a parallelogram are congruent, then it's a rectangle neither the reverse of the definition nor the converse of a property. A rectangle is a quadrilateral with 4 right angles. A parallelogram is a quadrilateral with 2 pairs of parallel sides. The opposite sides on every square are parallel, so every square is a parallelogram. Rectangle : A rectangle is convex quadrilateral with all its angles as right angles and its opposite sides being equal and parallel.

The diagonals of a rectangle bisect each other and are of equal length. Squares and oblongs are also rectangles. We can identify concave quadrilaterals by using the fact that one of its diagonals lie partially or completely outside the quadrilateral. Also in a square, all the vertices point outwards, which also makes it a convex shape.

Therefore, a square is a convex polygon. A convex hexagon has no angles pointing inwards. Think: concave has a "cave" in it Convex Hexagon. Square is a quadrilateral with four equal sides and angles. It's also a regular quadrilateral as both its sides and angles are equal. If both pairs of opposite angles of a quadrilateral are congruent , then it's a parallelogram converse of a property.

If the diagonals of a quadrilateral bisect each other, then it's a parallelogram converse of a property. Parallelograms have these identifying properties: Congruent opposite sides. Congruent opposite angles. Supplementary consecutive angles. If the quadrilateral has one right angle, then it has four right angles. Bisecting diagonals. Each diagonal separates the parallelogram into two congruent triangles.

An equiangular quadrilateral, i. An equilateral quadrilateral, i. In a square, rectangle, or rhombus, the opposite side lines are parallel.

A quadrilateral with the opposite side lines parallel is known as a parallelogram. A quadrilateral is a four-sided two-dimensional shape. The following 2D shapes are all quadrilaterals: square, rectangle, rhombus, trapezium, parallelogram and kite. A square is a rhombus is a kite is a quadrilateral. A kite is not always a rhombus. Concave describes shapes that curve inward , like an hourglass.