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### 28 Cards in this Set

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 midpoint halfway if section length is known, can divide by 2 to get the length from one end to the midpoint sum of interior angles of a triangle 180 degrees measure of an exterior angle of a triangle the sum of the measures of the remote interior angles of the triangle sum of exterior angles of any triangle 360 degrees area of a triangle 1/2(base)(height) triangle inequality theorem Each side of a triangle is greater than the difference and less than the sum of the other two sides. similar triangles triangles that have the same shape: corresponding angles are equal, corresponding sides are proportional isosceles triangles a triangle that has two equal sides, angles opposite the equal sides are equal equilateral triangle a triangle that has three equal sides. All angles are also equal, all 60 degrees. Area of an equilateral triangle = (s^2 x sqrt[3])/4 right triangle a triangle with a 90 degree angle. Sides that form the right angle are called legs. Area of a right triangle = 1/2(leg 1)(leg2) Pythagorean theorem for right triangles (leg1)^2 + (leg2)^2 = (hypotenuse)^2 Pythagorean triplet a set of integers that fits the Pythagorean theorem 3:4:5 3-4-5 triangle if a right triangle's leg ratio is 3:4, or if the leg-hypotenuse ratio is 3:5 or 4:5, then it is a 3-4-5 triangle, so the Pythagorean theorem is not needed to find the missing side. 5-12-13 triangles another Pythagorean triplet right triangle. Just figure out what multiple of 5-12-13 it is to find the missing side. 45 degree-45 degree-90 degree triangle side of this right triangle are in a ratio of 1:1:sqrt(2) 30-60-90 degree triangles right triangle whose sides are in a ratio of 1:sqrt(3):2 hidden special triangles sometimes adding a line segment to a shape can create special triangles for you to use to solve the problem dropping altitudes and perpendiculars are often very useful special quadrilaterals trapezoids, parallelograms, rectangles, rhombus, square trapezoid 4 sided figure with one pair of parallel sides and one pair of non parallel sides area= [(base1+base2)/2]x height parallelograms 4-sided figure, two pairs of parallel sides. Opposite sides are equal, opposite angles are equal. area= base x height rectangle 4-sided figure with 4 right angles opposite sides are equal perimeter is equal to the sum of the 4 sides area=length x width rhombus 4-sided figure with 4 equal sides area=base x height square 4 sided figure with four right angles and four equal sides area=(side)^2 hexagon 6 equal sides area = [3s^2sqrt(3)]/2 circumference perimeter of a circle 2(pi)r or (pi)d length of an arc piece of a circumference (n/360)(2 pi r) n=degree of arc's central angle area of a circle pi r^2 area of a sector sector - piece of the area of a circle (n/360)(pi r^2)