# ELM Study Guide Geometry 1

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1. Complementary Angle
Sum equals 90o
2. Supplementary Angle
Sum equals 180o
3. Perpendicular Line
Intersection forms right angle
4. Transversal
When 2 lines are cut by 3rd line, 3rd line is a transversal
5. Scalene Triangle
No equal sides & no equal angles
6. Isosceles Triangle
-2 equal sides

- If you know value of 1 equal side, you can find out value of all angles
7. Equilateral Triangle
- All sides & angles are equal

- Measure of each angle is 60o
8. Right Triangle
The side opposite of the right angle is call hypotenuse
9. 30-60-90 Triangle
- It is an equilateral triangle cut in middle

- The side opposite the 90o angle is always twice as long as the side opposite the 30o angle.

- The side opposite the 60o angle is always √3 times as long as the side opposite the 30o angle
10. 45-45-90 Triangle
- Lives a double life: it is both an isosceles & right triangle

- The side opposite the 90o angle is always √2 times larger than the two equal sides that sit opposite the 45o angles
11. The Pythagorean Theorem
c2 = a2 + b2

- Pythagorean Triples: {3,4,5}, {5,12,13}, {8,15,17}, {7, 24, 25}, {9, 40, 41}.
12. Similarity of Triangles
Similar - of the same shape (Proportional)
13. 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)
14. Perimeter of Triangle
Sum of lengths of triangle;s three sides
15. Area of Triangle
1/2 Base x Height
16. Polygon
Two-dimensional figure with 3 or more straight sides
17. Perimeter of Polygon
Sum of lengths of its sides
18. Number of Degrees Polygons Hold
• 180o x (n-2)
• - Ex. Triangle 180o x (1) = 180o
19. 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
20. Rhombus
Parallelogram where all 4 sides are equal in length
21. Area of Parallelogram
(Base x Height) well....(Base x Altitiude)
22. Trapezoid
One pair of sides is parallel while other is not
23. Area of Trapezoid
A = 1/2 (b1 + b2) x h
24. Circumference of a Circle
2πr
25. Area of Circle
πr2
26. Arc of Circle
Line segment that is wrapped AROUND the circle with 2 points
27. Chord of Circle
STRAIGHT line segment ACROSS the circle with 2 points

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 Author: gerardcb ID: 149704 Filename: ELM Study Guide Geometry 1 Updated: 2012-04-24 04:09:20 Tags: ELM Folders: Description: ELM Study Guide Geometry 1 Show Answers:

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