Geometric Figures Polygons are two-dimensional closed geometric figures formed by line segments.
Two-Dimensional Figures Triangles have 3 sides and 3 angles. -
The sum of the measure of the inside angles of any triangles is always 180º. Angle + Angle + Angle = 180º
Scalene Triangle
No congruent sides or congruent angles
Isosceles Triangle
At least 2 congruent sides and at least 2 congruent angles
Right Triangle
Has a right angle (measure 90º)
Acute Triangle
All angles measure less than 90º
Equilateral Triangle
3 congruent sides and 2 congruent angles Obtuse Triangle
Has an angle that measures more than 90º
Quadrilaterals have 4 sides and 4 angles. -
The sum of the measure of the inside angles of any triangles is always 360º. Angle + Angle + Angle + Angle = 360º
Quadrilateral
Any closed figure with 4 sides
Rectangle
A parallelogram with 4 right angles
Parallelogram
Opposite sides are congruent and parallesl
Rhombus
A parallelogram with 4 congruent sides
Trapezoid
Exacly 1 pair of parallel sides
Square
A parallelogram with 4 right angles and 4 congruent sides. (A rhombus with 4 right angles) (A rectangle with 4 equal sides.)
Other Common Two-Dimensional Figures Pentagon
Hexagon
A polygon with 5 sides and 5 angles
A polygon with 6 sides and 6 angles
Octagon
A polygon with 8 sides and 8 angles
Three Dimensional Figures A 3-dimensional figure has length, width, and height. The surfaces may be flat or curved. A 3-dimensional figure with flat surfaces is called a polyhedron.
Prisms Triangular Prisms: -
5 faces (2 bases) 9 edges 6 vertices
Rectangular Prisms: -
6 faces (2 bases) 12 edges 8 vertices
Cubes: -
6 faces (2 bases) 12 edges 8 vertices
Pyramids Triangular Pyramid: -
4 faces (1 base – it’s a triangle) 6 edges 4 vertices
Rectangular Prisms: -
5 faces (1 base – it’s a rectangle) 8 edges 5 vertices
Geometric Figures
A polygon with 5 sides and 5 angles. A polygon with 6 sides and 6 angles. A polygon with 8 sides and 8 angles. Three Dimensional Figures. A 3-dimensional figure has length, width, and height. The surfaces may be flat or curved. A 3-dimensional figure with flat surfaces is called a polyhedron. Prisms. Triangular Prisms:.