Unit 1- Introducing Geometry Flashcards

1
Q

what are the 3 building blocks of geometry?

A

points,
lines,
planes
(undefined terms)

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2
Q

characteristics of a point

A

only show location, have no size
represented with a dot
named with a capital letter
three dimensional

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3
Q

characteristics of a line

A

infinite number of points lined up straight
infinite length
no thickness
named by letter names of two points on the line with the line symbol above OR a small cursive letter

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4
Q

characteristics of a plane

A

flat surface that extends infinitely along a length and a width
no thickness and no border
named with a cursive capital letter
extends forever in all directions

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5
Q

collinear

A

on the same line

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6
Q

coplanar

A

on the same plane

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7
Q

line segment

A

portion of a line that has length

consists of two points (endpoints) and all points in between them that are colinear with the two points

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8
Q

equal

A

lengths(values) that are the same

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9
Q

congruent

A

figures that have equal measures remember tick marks

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10
Q

midpoint

A

the point on a segment that is the same distance from both endpoints remember tick marks

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11
Q

bisect

A

to divide the segment into two congruent segments remember tick marks

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12
Q

ray

A

part of a line that contains a point and all the points on the line in one direction, begins at a point and extends infinitely in one direction

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13
Q

angle

A

formed by two rays that share a common endpoint
the two rays cannot be collinear
named by 3 points and angle symbol

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14
Q

vertex

A

common endpoint of the two rays that from the angle

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15
Q

reflex angle

A

largest amount of rotation about the vertex from one ray to another

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16
Q

congruent angles

A

angles that have equal measure remember arches and tick marks

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17
Q

angle bisector

A

divides the angle into two congruent angles remember tick marks

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18
Q

parallel lines

A

lines in the same plane that never intersect remember symbol

19
Q

polygon

A

closed figure in a plane, formed by connecting line segment
each line segment is called a side of the polygon
each endpoint where the sides meet is a vertex
named by listing the vertices in consecutive order

20
Q

diagonal

A

line segment that connects two non consecutive vertices

21
Q

convex polygon

A

polygon that has all diagonals inside the polygon

22
Q

concave polygon

A

polygon that has at least one diagonal outside the polygon

23
Q

congruent polygons

A

two polygons that are exactly the same size and shape, congruent figures must be named in a particular order so that each angle/side matches up

24
Q

perimeter

A

sum of the lengths of the polygons sides do not include diagonals
denoted by capital letter P

25
Q

equilateral polygons

A

polygons in which all sides have equal length look for tick marks

26
Q

equiangular polygons

A

polygons in which all angles have equal measures look for arches and tick marks

27
Q

regular polygons

A

polygons that are equilateral and equiangular

28
Q

right triangle

A

triangle with one right angle

29
Q

acute triangle

A

triangle with 3 acute angles

always sum to 180 degrees

30
Q

obtuse angle

A

triangle with one obtuse angle

31
Q

scalene triangle

A

triangle with no congruent sides

32
Q

equilateral triangle

A

triangle that has 3 congruent sides

33
Q

isosceles triangle

A

triangle that has at least two congruent sides
vertex angle between sides of equal length
base side opposite the vertex angle
base angles, two angles opposite the two sides of equal length

34
Q

trapezoid

A

quadrilateral with exactly one pair of parallel sides

35
Q

kite

A

quadrilateral with two distinct pairs of consecutive congruent sides

36
Q

parallelogram

A

a quadrilateral with two pairs of parallel sides

37
Q

rhombus

A

equilateral parallelogram

38
Q

rectangle

A

equiangular parallelogram

39
Q

square

A

equilateral rectangle
equiangular rhombus
regular quadrilateral

40
Q

space

A

the set of all points
cannot be contained in a flat surface
3 dimensional

41
Q

isometric drawing

A

drawing of a 3D object that shows three faces in one view

42
Q

net

A

a two dimensional pattern that you can cut and fold to form a 3D figure

43
Q

locus of points

A

the set or locations of all points that meet the given conditions