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Transcript

Geometry In the World

Definition of a right angle

- a right angle is an angle that is 90° exactly

  • the bridge and the columns make a straight angle because it is 90 degrees

Rebecca Cartier

Definition of an obtuse angle

- an obtuse angle is an angle that is greater than 90° but less than 180°

  • an example of an obtuse angle would be a roof because most roofs are larger than 90 degrees.

Definition of an acute angle

-an acute angle is an angle that is less than 90°

  • the tip of a pencil is an example of an acute angle because it's less than 90 degrees.

Definition of a straight angle

- a straight angle is an angle that is 180° exactly

  • the road a car drives on is an example of a straight angle because it is 180 degrees.

problem solving!

  • find the angle bisector of this acute angle...

Definition of a ray

- a ray is also a piece of a line, except that it has only one endpoint and continues forever in one direction. It could be thought of as a half-line with an endpoint. It is named by the letter of its endpoint and any other point on the ray. The symbol written on top of the two letters is used to denote that ray.

  • a flashlights light is an example of a ray because it has one end point and continues in another direction with no endpoint.

Definition of a complementary angle

- a complementary angle is two angles that add up to 90°.

  • the space between two leaves plus the space between the next two leaves is an example of a complementary angle because the two spaces add up to be 90 degrees

Definition of a segment

- a segment is the concept of lines is straightforward, but much of geometry is concerned with portions of lines. Some of those portions are so special that they have their own names and symbols

  • a rainbow represents a segment because it has two end points.

Definition of a supplementary angle

- a supplementary angle is two angles that add up to 180°.

  • the space of grass on both sides of the small road is and example of a supplementary angle because they add up to be 180 degrees

Definition of a plane:

- a plane is a point exists in zero dimensions. A line exists in one dimension, and we specify a line with two points. A plane exists in two dimensions. We specify a plane with three points. Any two of the points specify a line. All possible lines that pass through the third point and any point in the line make up a plane. In more obvious language, a plane is a flat surface that extends indefinitely in its two dimensions, length and width. A plane has no height.

  • the exit sign is a plane it's two dimensional.

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Definition of a parallel line

- Parallel lines are parallel lines remain the same distance apart over their entire length. No matter how far you extend them, they will never meet.

problem solving!

  • the two lines on a rail road track is an example of a parallel line because they never intersect.
  • find x if the supplementary angle is equal to 180 degrees (4x+11) and (2x-22).

Definition of a line:

problem solving!

Definition of a vertical angle

problem solving!

  • the space between sidewalk squares make a line having no endpoints
  • are vertical angles always congruent?

-vertical angles are the angles opposite each other when two lines cross

- a line is as for a line segment, we specify a line with two points. Starting with the corresponding line segment, we find other line segments that share at least two points with the original line segment. In this way we extend the original line segment indefinitely. The set of all possible line segments findable in this way constitutes a line. A line extends indefinitely in a single dimension. Its length, having no limit, is infinite. Like the line segments that constitute it, it has no width or height. You may specify a line by specifying any two points within the line. For any two points, only one line passes through both points. On the other hand, an unlimited number of lines pass through any single point.

  • Find the radius of a circle that is 14 inches.
  • a pair of scissors is an example of a vertical angle because it has two angles opposite of each other and the two lines cross

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The End!

by: Rebecca Cartier

Definition of a Point:

Definition of an angle bisector

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- an angle bisector is a ray that divides an angle into two equal parts

  • a point is a point is a location in space. Points are dimensionless. That is, a point has no width, length, or height. We locate points relative to some arbitrary standard point, often called the "origin". Many physical objects suggest the idea of a point. Examples include the tip of a pencil, the corner of a cube, or a dot on a sheet of paper.
  • the purple arrow points to a real life example of a angle bisector because the line bisects the two angles of pizza.

Definition of a radius

- a radius is of a circle or sphere is any line segment from its center to its perimeter.

problem solving!

  • are these two lines parallel?
  • (-4,5) and ( 4,-5)
  • the place where all lines intersect
  • the center of the bicycle wheel is an example of a radius because the lines go from the center of the wheel to the perimeter.
  • flower petals meeting the center

of the flower at a point

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