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19 Cards in this Set
- Front
- Back
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What is the definition of a rhombus?
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All sides are equal and opposite angles are equal.
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What is the definition of a trapezoid.
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One pair of opposite sides are parallel.
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What is the formula for find the sum of the interior angles of a polygon?
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180*(n-2).
Where n is the number of sides of the polygon. |
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What is the area of a trapezoid?
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(base1+base2)*h/2
Or you can think of it as a the average of the bases * height. (average base)*height/2 |
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What is the area of rhombus?
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Diagonal1*Dagonal2/2
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What is the triangle inequality?
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The sum of any two sides of a triangle must be GREATER than the third side.
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List 3 common right angle triangles?
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3-4-5
5-12-13 5-15-17 |
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Given a right angle triangle with sides 1:1:sqrt(2) what are the angles for this triangle?
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45:45:90
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Given a right angle triangle with sides 1:sqrt(3):2 what are the angles for this triangle?
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30:60:90
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What is the definition of an equilateral triangle?
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It's a triangle where all the sides are equal and all the angles are equal.
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True or false the largest angle in a triangle correspondso the the largest side.
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True
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True or false an equilateral triangle can be divided up into 2 30:60:90 triangles?
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True
Example: Given that an equilaterial traingle has a side length fo 10, what is its height? 30:60:90 1:sqrt(3):2 5:5*sqrt(3):10 |
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What is the difference between center angle and inscribed angle?
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center angles are those that lie at center of the circle.
inscribed angles are those that lie on the circle itself. |
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What is the angle relationship between a center angle and an inscribed angle?
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2* inscribed angle = center angle.
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What is the relationship between inscribed triangles with one side the diameter of the circles?
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All inscribed triangle in a circle with one side as the diameter of the circle are right angle triangles.
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What is the area of a cylinder?
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2*(area of a circle)+(circumference of circle*height)
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What is the relationship between the exterior angles of a triangle and the interior angles?
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An exterior angle of a triangle is equal in measure to the sum of the two non-adjacent interior angles of the triangle.
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How do you find the shortest distance between any two points on a co-ordinate system?
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Use Pythagorean Theorem.
Example. What is the distance between the points (1,3) and (7, -5). sqrt((-5-3)^2+(7-1)^2)=10 |
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How do you find the slope of a perpendicular bisector of a line?
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Inverse the slope of a line and flip the sign.
Example. If the coordinate of A are (2,2) and the coordinates off B are (0,-2, what is the equation of the perpendicular bisector of segment AB. The slop of AB is: rise/run = 4/2=2 Thus to find the perpendicular bisector take the inverse of the slope and change the sign. Therefore -1/2 is the slope. To find the equation of the perpendicular bisector we need one point and we know that the perpendicular bisector passess through the midpoint of AB. Thus, A = (2,2) midpoint = (1,0) B = (0,-2) Thus y=mx+b 0=-1/2+b b=1/2 Therefore equation is y=-1/2x+1/2 or 2y=1-x |
