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