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# Geometry Guide

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### Geometry Guide

1. 1. Lines Angles Triangles Quadrilaterals Circles My Guide to Geometry
2. 2. Lines Points Line Segments Rays Lines Intersecting Lines Perpendicular Lines Parallel Lines Skew Lines
3. 3. Points <ul><li>A point is a precise location in a space. It is labeled with a letter. </li></ul>Point s Point t Point m
4. 4. Line Segments <ul><li>A line that starts at a point and ends at another. </li></ul>
5. 5. Rays <ul><li>A line that starts at one point and keeps on going on the other. </li></ul>
6. 6. Lines <ul><li>A line that keeps on going on both ends. </li></ul>
7. 7. Intersecting lines <ul><li>Intersecting lines are lines that eventually cross at a point. </li></ul>
8. 8. Perpendicular Lines <ul><li>Perpendicular lines are lines that intersect at right angles. </li></ul>
9. 9. Parallel Lines <ul><li>Parallel lines are lines that never cross each other. </li></ul>
10. 10. Skew Lines <ul><li>Skew lines are lines that are not in the same plane. </li></ul>
11. 11. Angles Acute Obtuse Right Vertex/Vertices Complimentary Supplementary Vertical/Opposite Adjacent
12. 12. Acute Angle <ul><li>An acute angle is an angle that is less than 90 degrees. </li></ul>
13. 13. Obtuse Angle <ul><li>An obtuse angle is an angle that is more than 90 degrees. </li></ul>
14. 14. Right Angle <ul><li>A right angle is an angle that is 90 degrees. </li></ul>
15. 15. Vertex/Vertices <ul><li>A vertex is the middle point of an angle and vertices is the plural for vertex. </li></ul>
16. 16. Complementary <ul><li>Complementary angles are two angles that make a 90 degree angle. </li></ul>60 30
17. 17. Supplementary <ul><li>Supplementary angles are two angles that make a 180 degree angle. </li></ul>80 100
18. 18. Vertical/Opposite <ul><li>Vertical and opposite are right across from each other. </li></ul>A B C D E BED and AEC Are vertical
19. 19. Adjacent <ul><li>Adjacent angles are angles that are side by side and have a common vertex and ray. </li></ul>M P N Q R
20. 20. Triangles Right Obtuse Acute Scalene Isosceles Equilateral Sum of Internal Angles Perimeter Angles
21. 21. Right Triangles <ul><li>Right triangles are triangles that have a right angle. </li></ul>
22. 22. Obtuse Triangles <ul><li>Obtuse triangles are triangles that have an obtuse angle. </li></ul>
23. 23. Acute triangles <ul><li>Acute triangles are triangles that have an acute angle. </li></ul>
24. 24. Scalene <ul><li>Scalene triangles are triangles that have no congruent sides. </li></ul>
25. 25. Isosceles <ul><li>Isosceles triangles are triangles that have two congruent sides. </li></ul>
26. 26. Equilateral <ul><li>Equilateral triangles are triangles that have all equal sides. </li></ul>
27. 27. Sum of Internal Angles <ul><li>When you add up angles and they are 180 degrees. </li></ul>180 10
28. 28. Perimeter <ul><li>To find the perimeter of a shape you have to add the up all the measurements. </li></ul>5cm 5cm 10cm 10cm
29. 29. Angles <ul><li>Angles are the figures formed by two rays with a common endpoint. </li></ul>
30. 30. Quadrilaterals Trapezoid Parallelogram Rectangle Rhombus Square Area of a rectangle Area of a square Area of a parallelogram Area of a trapezoid
31. 31. Trapezoid <ul><li>A shape with one pair of parallel sides. </li></ul>
32. 32. Parallelogram <ul><li>A shape that has two pairs of parallel sides. </li></ul>
33. 33. Rectangle <ul><li>A quadrilateral that had four connected sides and all sides have 90 degree angles. </li></ul>
34. 34. Rhombus <ul><li>A parallelogram that has no congruent sides. </li></ul>
35. 35. Square <ul><li>A shape that has two pairs of parallel sides and congruent sides. </li></ul>
36. 36. Area of a Rectangle <ul><li>To find the area of a rectangle, you have to multiply length times width. </li></ul>5cm 10cm
37. 37. Area of a Square <ul><li>To find the area of a square, you have to multiply length times width. </li></ul>10cm 10cm
38. 38. Area of a Parallelogram <ul><li>To find the area of a parallelogram you have to multiply the base times height. </li></ul>
39. 39. Area of a Trapezoid <ul><li>To find the area of a trapezoid you have to multiply the two bases with the height. </li></ul>
40. 40. Circles Chord Diameter Arc Radius Sector Circumference Area of a Circle
41. 41. Chord <ul><li>A line segment with its endpoints on a circle. </li></ul>
42. 42. Diameter <ul><li>A line segment that passes through the middle of a circle and has its endpoints on the edge of the circle. </li></ul>
43. 43. Arc <ul><li>An arc is the distance on the outside edge of a circle. </li></ul>A B AB
44. 44. Radius <ul><li>The distance from the center of a circle to the edge. </li></ul>
45. 45. Sector <ul><li>A piece of the area of a circle. </li></ul>
46. 46. Circumference <ul><li>The distance around a circle (perimeter.) To find the circumference you have to multiply pi (3.14) and the diameter. </li></ul>6cm
47. 47. Area of a Circle <ul><li>The area of a circle is the space inside it. To find the area you have to multiply pi(3.14) and the radius of the circle squared. </li></ul>3cm
48. 48. Other Polygons Hexagon Octagon Regular polygon
49. 49. Hexagon <ul><li>A figure that has six equal sides. </li></ul>
50. 50. Octagon <ul><li>A figure that has eight equal sides. </li></ul>
51. 51. Regular polygon <ul><li>A polygon that has congruent sides and angles. </li></ul>