Geometry Concepts
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| closed, 2-d shapes with at least 3 straight-sides and 3 angles | polygons
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| polygons that are equilateral and equiangular | regular polygons
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| polygons that are the same size and shape | congruent shapes
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| _________ and ______________ measure the distance around a polygon and circle | perimeter; circumference
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| equation to find the perimeter of a square | P=4s
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| equation to find the perimeter of a rectangle | P=2(l+w)
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| equation to find the perimeter of a triangle | P=s1+s2+s3
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| equation to find the perimeter of a polygon | P=adding number of sides together
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| amount of space an object takes up | volume
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| volume of a cube | V=s^3
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| volume of a rectangular prism | V=lwh
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| volume of a cylinder | V=pi r^2 x h
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| volume of a sphere | V= 4/3pi r^3
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| volume of a pyramid | V= 1/3Ah
A=area of base
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| volume of a cone | V=1/3pi^2 x h
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| amount of space inside a 2-d shape | area
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| involves counting the number of squares *inside* the shape the squares come from the units on the x and y axis; square=1sq. unit on grid it's not suitable for calculating all areas | counting method
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| measures the area *outside* of a 3-d shape | surface area
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| surface area for a sphere | SA=4pi r^2
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| surface area for a cone | SA= pi r^2+pi rs
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| surface area for a cube | SA=6s^2
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| surface area for a cylinder | SA=2pi rh+2pi r^2
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| surface area for rectangular prism | SA=2(lw+wh+hl)
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| surface area for a square-based pyramid | SA=2(l)(s)+l^2
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| an approach to measuring things using alternative measurements and properties to find desired measurement | indirect measurement
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| a^2+b^2=c^2 | pythagorean theorem
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| a straight bar that keeps going in both directions | line
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| when a line has a beginning and end | line segment
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| when a line has a beginning, but no end | ray
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| xy plane ordered pairs (x,y); the point where it crosses is called x and y intercept | Cartesian plane
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| the 4 divisions of the Cartesian plane starting with the top right and moving counterclockwise | quadrants
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| French philosopher and mathematician that said "I think, therefore I am" | Rene Descartes
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| same shape, different size | similar shapes
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| a category of transformation that does not change the shape/size of the pre-image | rigid tranformation
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| a category of transformation that changes the size but not the shape | non-rigid transformation
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| rotating an object about a fixed point without changing its size/shape | rotation
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| moving an object in space without changing its size, shape, or orientation | translation
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| expanding/contracting an object without changing shape or orientation | dilation
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| flipping an object across a line without changing size/shape | reflection
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| imaginary line that cuts a shape into 2 exact / identical halves | line of symmetry
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| reflection of the image the halves obtained by drawing the line of symmetry reflect each other | reflection symmetry
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| exists around center of axis | rotational symmetry
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| the change in position | translation symmetry
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| the sum of 2 symmetries (reflection and translation) | glide symmetry
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Created by:
jmeeker
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