What is a convex quadrilateral?
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Q:

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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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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Related Questions

  • Q:

    How do you find the area of a quadrilateral?

    A:

    To find the area of a quadrilateral, find the height and width of the shape (for rectangles, squares, parallelograms and trapezoids), and then multiply the two numbers together. For rhombuses and kites, find the length of the diagonals, multiply the diagonals, and divide by two. Express the result in square units.

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  • Q:

    How many sides does a quadrilateral have?

    A:

    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:

    How many diagonals does a pentagon have?

    A:

    A pentagon has five diagonals on the inside of the shape. The diagonals of any polygon can be calculated using the formula n*(n-3)/2, where "n" is the number of sides. In the case of a pentagon, which "n" will be 5, the formula as expected is equal to 5.

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  • Q:

    How many degrees does an equilateral triangle have?

    A:

    The sum of the interior angles of an equilateral triangle equals 180 degrees. This stems from the fact that the combined interior angles of any given triangle always add up to this same amount, according to the Monterey Institute for Technology and Education.

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