Real World ExamplesJonathan McAuley

PointDefinition - A point is one place that shows a specific “point”Real World Example - A pencil Point would be one. The tip of thepencil represents one point and you could touch it on a piece ofpaper and make a point or 2 to form a line.Postulates, Theorems, and Corollaries - If 2 lines intersect, theyintersect exactly one point.

LineDefinition - A line goes on infinitely in both directions and expandspass 2 points.Real World Example - A real world example would be a railroad bc it goes on in each direction.Postulates, Theorems, and Corollaries - If a line goes through2 points and goes on forever through 2 points it is a line.

PlanePlane - A plane is 3 points that lie in the same place and expands infinitelyin all directions.Real World Example - The Earth would be an example of a plane becauseit expands in each direction.Postulates, Theorems, and Corollaries - If two points lie in a plane, then the line containing those points lies in the plane.

SegmentDefinition - A segment is straight and finite.Real World Example - A real world example would be poptart.The edge of the poptart is straight and doesn’t go on forever ineither direction.Postulates, Theorems, and Corollaries - “Segment Addition.”If B is between A and C, then B + BC = AC

RayDefinition - A ray goes infinitely in only one direction.Real World Example - A tennis player serving a tennis ball couldbe an example of a ray bc it goes in 1 direction.Postulates, Theorems, and Corollaries -

Collinear PointsDefinition - It is 3 points that are all on the same line.Real World Example - These 3 people sitting next to each other is anexample of this.Postulates, Theorems, and Corollaries -

Acute AngleDefinition - It’s an angle less than 90 degrees.Real World Example - A real world example would be a single sliceof Pizza. This picture especially shows bc it shows the pizza and theposition it came from because it is also an acute angle.Postulates, Theorems, and Corollaries -

Obtuse AngleDefinition - It’s an angle greater than 90 degrees.Real World Example - A boomerang would be a real world example becausethe inside and shape of it is more than 90 degrees.Postulates, Theorems, and Corollaires -

Right AngleDefinition - Its an angle that is equal to 90 degrees.Real World Example - The bottom of the chair with the chair legs are an example.Postulates, Theorems, and Corollaries -

Perpendicular Lines Definition - 2 Lines intersect to form a 90 degrees angles.Real World Example - A cross has 4 90 degree angles and definitely represents this.Postulates, Theorems, and Corollaries -

Complementary AnglesDefinition - 2 Angles to form 90 degrees.Real World Example - I have 2 real world examples. One is ancross roads which forms a 90 degrees angle and the other is acorner of a cross that also forms a 90 degree angle.Postulates, Theorems, and Corollaries -

Supplementary AnglesDefinition - 2 angles to make 180 degrees angle.Real World Example - This road shows a 180 degree angle.

Right TrianglesDefinition - A triangle that has a 90 degrees angle (Right angle) The side isalso 90 so the other 2 are 45.Real World Example - Half a sandwich would be an example because youcan see it has a right angle.

Vertical AnglesDefinition - They’re are the angles opposite of eachother whenlines cross and they are always equal.Real World Example - A railroad cross sign is an example because they cross to form angles across from each other thatare equal.

Equilateral TrianglesDefinition - All sides of a triangle are the same.Real World Example - A pool triangle could be an example because all3 sides are equal in distance.

Acute TriangleDefinition - A triangle that has an angle less than 90 degrees.Real World Example - A runner running down a slope is one because it is going down because of the angle being smaller and less than 90.

Isosceles TriangleDefinition - It’s a triangle that has 2 equal sides and 2 equal angles.Real World Example - A clothes hanger is an example because it forms downand 2 of the sides are equal and the other is longer.

Obtuse TriangleDefinition - It’s a triangle that has an angle greater than 90 degrees.Real World Example - A fanner be an example because it expands outa little further and forms an obtuse angle.

Scalene TriangleDefinition - It’s a triangle with no equal sides.Real World Example - The shaping of this bicycle is onebecause the triangle in it has 3 unequal sides in measure.