Vocab Ch. 13
A closed, connected shape in space whose outer surfaces consist of polygons (such as triangles, squares, or pentagons)
POLYHEDRON
6 square faces, with 3 squares coming together at each vertex.
Cube
The formula for volumes of prisms and cylinders is_______________.
Volume= (Height) * (Area of Base)
A ______________takes each point in the plane to another point in the plane (which could be the same point).
T or F: Three shapes (either in a plane or solid shapes in space) that are the same size and shape are called congruent.
False. TWO shapes.
The polygons that make up the outer surface of the polyhedron
Faces
8 equilateral triangle faces, with 4 triangles coming together at each vertex.
Octahedron
A physical fact that an object that floats displaces an amount of water that weighs as much as the object.
(Such as adding ice to a glass of water which floats but caused the water level to rise)
Archimedes's principle
A "flip" across a chosen line.
Reflection
T or F: The mathematical way to say that triangles are structurally rigid and determined by their side lengths is SAS congruence.
False. Side, Side, Side (SSS) congruence.
The single point that does not lie in the plane of a polygon (pyramid).
Apex
4 equilateral triangle faces, with 3 triangles coming together at each vertex.
Tetrahedron
When you shear a solid shape, the volume of the original and sheared solid shapes are equal.
Cavalieri's Principle
A __________ or "slide" by a given distance in a given direction is the end result of moving each point in the plane the given distance in the given direction.
Translation
I need to figure out the surface area of a 3D object for a project. What formula do I need to use to find the surface area of the figure?
2(WL)+2(WH)+2(LH)
A ______________ has a point that lies “straight up over” the center of the base.
Right Pyramid
12 regular pentagon faces, with 3 pentagons coming together at each vertex.
Dodecahedron
Volume= 1/3 * (height) * (area of base)
A _____________about a point through a given angle is a transformation that is the end result of rotating all points in the plane about a fixed point, through a fixed angle.
Rotation or a turn
The place where two faces come together is called an __________ of the polyhedron.
A cone that is not a right cone can be called an _____________________.
Oblique Cone
20 equilateral triangle faces, with 5 triangles coming together at each vertex.
Icosahedron
The formula for the volume of a sphere is ____________________.
V= 4/3 * (3.14) * (radius3)
The end result of combining a reflection and then a translation in the direction of the line of reflection.
Glide-Reflection
A corner point where several faces come together is called a ___________ or corner of the polyhedron.
Or...
Think about the corner of your dresser at home. That is the ________ of that dresser.
Vertex