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# Geometry Guide

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### Transcript

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