Tools of Geometry vocabulary
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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| define a point | a place or dot in space, defined by its coordinates, notation is one capital letter
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| why is symbolic representation important in geometry? | It displays what geometric object we are referring to, ie. line, ray, segment, angle, right angle, plane, point
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| define a line and how it is symbolically represented | A line is a series of points extending in two directions without end. Two capital letters with arrows over them
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| define a ray and how it is symbolically represented | An endpoint and part of a line in only one direction. Two capital letters with only one arrow over the letter the line is going.
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| define a segment and how it is symbolically represented | A part of a line. Two capital letters with a line over them but no arrows
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| Define a plane and how is it notated | A plane can be formed by any three points.
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| what does "contained" mean? as in a plane contains a line | the object is on or in the other object, visually it is drawn with solid lines
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| What is a bisector? | A line, or part of a line that divides a segment or angle into two congruent parts
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| What does a perfect angle bisector construction look like? | A big arc that intersects both sides of the angle and two little arcs intersecting in the middle of the angle and a line connecting the vertex to the intersection of the two small arcs
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| What does a perfect segment bisector construction look like? | Two small arcs intersecting above and below the segment (4 small arcs total) and a line connecting the intersecting arcs
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| What is the midpoint formula? | add the x's and divide the sum by 2, add the y's and divide the sum by 2, It has to be in the middle and it has to be a set of coordinates (x,y)
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| How do you find length or distance? | Use the distance formula from 2 points or plot the points and form a right triangle and count the horizontal and vertical sides and use pythagorean's theorem
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| An example of two planes that are parallel in this room is... | ceiling and floor or opposite walls
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| An example of two planes that are perpendicular in this room is... | floor and wall or ceiling and wall
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| If two lines intersect, they always form a... | Point
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| If two planes intersect, they always form a... | Line
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| Define parallel | when objects have the same slope and therefore never intersect
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| Define perpendicular | when objects intersect and form right angles
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| List all the formulas from algebra that help you solve a composite or shaded area problem | triangles, circles, rectangles, trapezoids, squares
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| What is the difference between a radius and a diameter? | A radius is half the length of the diameter or two radii form a diameter
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| What is collinear? | When points are on the same line
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| What is coplanar? | Objects that are on the same plane
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| What does adjacent mean? | next to
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| What are 3 angle relationships in tools of geometry? | vertical (across from eachother and congruent), complements sum to 90, supplements and linear pairs sum to 180.
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Created by:
kglanton@rhnet.org
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