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ELM Study Guide Geometry 1
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Complementary Angle
Sum equals 90
^{o}
Supplementary Angle
Sum equals 180
^{o}
Perpendicular Line
Intersection forms right angle
Transversal
When 2 lines are cut by 3rd line, 3rd line is a transversal
Scalene Triangle
No equal sides & no equal angles
Isosceles Triangle
-2 equal sides
- If you know value of 1 equal side, you can find out value of all angles
Equilateral Triangle
- All sides & angles are equal
- Measure of each angle is 60
^{o}
Right Triangle
The side opposite of the right angle is call hypotenuse
30-60-90 Triangle
- It is an equilateral triangle cut in middle
- The side opposite the 90
^{o }
angle is always twice as long as the side opposite the 30
^{o }
angle.
- The side opposite the 60
^{o }
angle is always √3 times as long as the side opposite the 30
^{o }
angle
45-45-90 Triangle
- Lives a double life: it is both an isosceles & right triangle
- The side opposite the 90
^{o }
angle is always √2 times larger than the two equal sides that sit opposite the 45
^{o }
angles
The Pythagorean Theorem
c
^{2 }
= a
^{2 }
+ b
^{2 }
- Pythagorean Triples: {3,4,5}, {5,12,13}, {8,15,17}, {7, 24, 25}, {9, 40, 41}.
Similarity of Triangles
Similar - of the same shape (Proportional)
Congruence
Two triangles that are IDENTICAL.
- Two triangles are congruent if they meet these:
Side-Side-Side(SSS)
Side-Angle-Side(SAS)
Angle-Side-Angle(ASA)
Perimeter of Triangle
Sum of lengths of triangle;s three sides
Area of Triangle
1/2 Base x Height
Polygon
Two-dimensional figure with 3 or more straight sides
Perimeter of Polygon
Sum of lengths of its sides
Number of Degrees Polygons Hold
180
^{o }
x (n-2)
- Ex. Triangle 180
^{o }
x (1) = 180
^{o }
Parallelogram
4 sided figure(quadrilateral) whose opposite sides are parallel.
- Opposite sides are equal in length
- Opposite angles are equal
- Adjacent angles are supplementary
- Diagonals bisect eachother
Rhombus
Parallelogram where all 4 sides are equal in length
Area of Parallelogram
(Base x Height) well....(Base x Altitiude)
Trapezoid
One pair of sides is parallel while other is not
Area of Trapezoid
A = 1/2 (b
_{1 }
+ b
_{2}
) x h
Circumference of a Circle
2πr
Area of Circle
πr
^{2}
Arc of Circle
Line segment that is wrapped AROUND the circle with 2 points
Chord of Circle
STRAIGHT line segment ACROSS the circle with 2 points
Author
gerardcb
ID
149704
Card Set
ELM Study Guide Geometry 1
Description
ELM Study Guide Geometry 1
Updated
2012-04-24T04:09:20Z
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