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What is a convex quadrilateral?

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Quick Answer

A convex quadrilateral is a four-sided figure with interior angles of less than 180 degrees each and both of its diagonals contained within the shape. A diagonal is a line drawn from one angle to an opposite angle, and the two diagonals intersect at one point.

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What is a convex quadrilateral?
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Full Answer

The four vertices, or corners, of a convex quadrilateral point outward and away from the interior of the shape. Two common types of convex quadrilaterals are squares and rectangles. The area of an irregular quadrilateral can be determined by finding the area of the four triangles made by the intersecting diagonals. All regular quadrilaterals, which have the same angle for each vertex, are convex.

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  • Q:

    What is a kite in geometry?

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    A kite is a quadrilateral, a shape with four straight, flat sides, that has two pairs of sides where the two adjacent sides, the ones that meet, are equal in length. The two angles in a kite where the sides with different measurements meet are identical. The other two angles may or may not be identical.

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  • Q:

    What is a four-sided shape called?

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    A four-sided shape is called a quadrilateral. All quadrilaterals have straight sides, are two-dimensional, have four vertices and have interior angles that add up to 360 degrees. Types of quadrilaterals include the square, rectangle, rhombus, parallelogram, trapezoid and kite.

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  • Q:

    How many sides does a quadrilateral have?

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    By its very definition, a quadrilateral is merely a shape with four sides and four vertices or corners. The prefix "quad-" simply means "four" and lateral means "sides," so the name explicitly lays out its meaning.

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  • Q:

    What is a concave quadrilateral?

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    A concave quadrilateral is a shape that has four sides and contains an indentation where the internal angle is greater than 180 degrees. The most common example of a concave quadrilateral is a shape whose left and right sides resemble a triangle; however, instead of meeting in a straight line as a base, they meet at another vertex angled towards their upper vertex.

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