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Transcript: Triangles A square is a plane figure with four equal straight sides and four right angels all sides have equal length, and every interior angle is a right angle (90°)To figure out the area of a square, you multiply the length by the width Because the length and the width are always the same.To figure out the perimeter of the square, you can add the lengths of all the sides together, or multiply one side by four, because all the sides are the same length. So if your square has sides 5 centimeters long, the area of the square is 25 square centimeters, and the perimeter of the square is 20 centimeters. A square is a special kind of rectangle. An equilateral triangle is simply a specific case of a regular polygon, in this case with 3 sides. All the facts and properties described for regular polygons apply to an equilateral triangle. See Regular Polygons. An equilateral triangle is one in which all three sides are congruent (same length). Because it also has the property that all three interior angles are equal, it really the same thing as an equiangular triangle.It is possible to construct an equilateral triangle of a given side length using just a compass and straightedge. Isosceles is any triangle that has two sides the same length. It is possible to construct an isosceles triangle of given dimensions using just a compass and straightedge. The base, leg or altitude of an isosceles triangle can be found if you know the other two. Scalene rectangles Squares A triangle has three sides and is made of straight lines. A triangle may be classified by how many of its sides are of equal length. Or, it may be classified by what kind of angles it has.In an equilateral triangle, all three sides are the same length. An equilateral triangle is always equiangular.A isosceles triangle, two sides are the same length. An isosceles triangle may be right, obtuse, or acute. A scalene triangle, none of the sides are the same length. A scalene triangle may be right, obtuse, or acute.In an equiangular triangle, all the angles are equal—each one measures 60 degrees. An equiangular triangle is a kind of acute triangle, and is always equilateral.In a right triangle, one of the angles is a right angle—an angle of 90 degrees. A right triangle may be isosceles or scalene.In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene.In an acute triangle, all angles are less than right angles—each one is less than 90 degrees. An acute triangle may be equilateral, isosceles, or scalene. A rectangle is a four-sided polygon and a flat shape with straight sides. In other words, the rectangle is a type of quadrilateral too. It has four sides. In a rectangle, every interior angle is a right angle (90 degree). Opposite sides of a rectangle are equal in length and are parallel. In a rectangle, the two long sides are always parallel line segments, and the two short sides are always parallel line segments.To figure out the perimeter of the rectangle, you can add the lengths of all the sides together. So if your rectangle is 10 centimeters long and 5 centimeters wide, the area of the rectangle is 50 square centimeters, and the perimeter of the rectangle is 30 centimeters. BY:kelsi Clark Scalene triangles are triangles where each side is a different length. They are unusual in that the are defined by what they are not. Most triangles drawn at random would be scalene. The interior angles of a scalene triangle are always all different. The converse of this is also true, If all three angles are different, then the triangle is scalene, and all the sides are different lengths. Isosceles Equilateral

SQUARES

Transcript: Properties of a Square Rachel Rode and Holly Bauer Mrs. Larson Period E 3/8/13 -If a quadrilateral is a rectangle, then its diagonals are congruent. -If a quadrilateral is a rhombus, then its diagonals are perpendicular. -If a quadrilateral is a rhombus, then its diagonals bisect opposite angles. -If the opposite sides of a quadrilateral are congruent, then it is a parallelogram. -If the opposite sides of a quadrilateral are parallel, then it is a parallelogram. -If the opposite angles of a quadrilateral are congruent, then it is a parallelogram. -If the consecutive angles of a quadrilateral are supplementary, then it is a parallelogram. -If a quadrilateral's diagonals bisect each other, then it is a parallelogram. -A square is defined as being a parallelogram with four congruent sides and four right angles. -It is a convex polygon. -Four right angles -Equilateral and equiangular -Diagonals bisect each other -Diagonals are congruent -Opposite sides are parallel -Opposite angles are congruent -Consecutive angles are supplementary -Has all properties of a parallelogram, rhombus, and rectangle Proof of Theorem 6-7 Definition of a Square Area and Perimeter Examples Theorems Squares -If a quadrilateral is a parallelogram, then its opposite sides are congruent. -If a quadrilateral is a parallelogram, then its opposite sides are parallel. -If a quadrilateral is a parallelogram, then its opposite angles are congruent. -If a quadrilateral is a parallelogram, then its consecutive angles are supplementary. -If a quadrilateral is a parallelogram, then its diagonals bisect each other. -If a quadrilateral is a rhombus, then all sides are congruent. -If a quadrilateral is a rhombus, then its diagonals are perpendicular. -If a quadrilateral is a rectangle, then it has at least one right angle. -To find the area of a square, take the measure of one side and square it. -To find the perimeter of a square, multiply the measurement of one side by four.

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