Geometry in the real world part 2 Created By: Tyrien Riggins 11-12-15.

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Presentation transcript:

Geometry in the real world part 2 Created By: Tyrien Riggins

Properties of Triangle Part 1  Angle Bisector-In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.  Altitude-the length of the perpendicular line from a vertex to the opposite side of a figure.  Median-a straight line drawn from any vertex of a triangle to the middle of the opposite side.  Perpendicular Bisector- a line that divides a line segment into two equal parts. It also makes a right angle with the line segment. Each point on the perpendicular bisector is the same distance from each of the endpoints of the original line segment.

Properties of Triangles Part 2  Side-one of the surfaces forming the outside of or bounding a thing, or one of the lines bounding a geometric figure. 2. either of the two broad surfaces of a thin, flat object, as a door, or piece of paper.  Vertex-In geometry, a vertex (plural vertices) is a special kind of point that describes the corners or intersections of geometric shapes.  Base-The surface a solid object stands on, or the bottom line of a shape such as a triangle or rectangle. But the top is also called a base when it is parallel to the bottom!

Right Triangle  Right Triangle- A triangle with a right angle.

Acute Triangle  Acute Triangle- An acute triangle is a triangle with all three angles acute (less than 90°). An obtuse triangle is one with one obtuse angle (greater than 90°) and two acute angles. Since a triangle's angles must sum to 180°, no triangle can have more than one obtuse angle.

Obtuse Triangle  Obtuse Triangle-An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.) A triangle must be either obtuse, acute, or right.

Equilateral Triangle  Equilateral Triangles-In geometry, an equilateral triangle is a triangle in which all three sides are equal. In the familiar Euclidean geometry, equilateral triangles are also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

Isosceles Triangle  Isosceles Triangles-In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having two and only two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

Scalene Triangle  Scalene Triangle- scalene triangle is a triangle that has three unequal sides, such as those illustrated above. SEE ALSO: Acute Triangle, Equilateral Triangle, Isosceles Triangle, & Obtuse Triangle.