Geometry Terms - chapter 1 Flashcards

1
Q

acute angle

A

an angle measuring more than 0 degrees and less than 90 degrees

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2
Q

adjacent angles

A

two angles in the same plane with a common vertex and a common side, but no common interior points

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3
Q

angle

A

a figure formed by two rays with a common endpoint

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4
Q

angle bisector

A

a ray that divides an angle into two congruent angles

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5
Q

area

A

the number of nonoverlapping unit squares of a given size that will exactly cover the interior of a plane figure

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6
Q

base of a triangle

A

any side of the triangle

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7
Q

between two points

A

point B is between points A and C if and only if all three points lie on the same line, and AB + BC = AC

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8
Q

bisect

A

to divide into two congruent parts

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9
Q

circumference

A

the distance around a circle

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10
Q

collinear

A

points that lie on the same line

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11
Q

complementary angles

A

two angles whose measures have a sum of 90 degrees

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12
Q

congruent angles

A

angles that have the same measure

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13
Q

congruent segments

A

segments that have the same length

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14
Q

construction

A

creating a precise figure, using only a compass and straightedge

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15
Q

coordinate

A

a number used to identify the location of a point

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16
Q

coordinate plane

A

a plane that is divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis)

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17
Q

coplanar

A

points that lie in the same plane

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18
Q

degree

A

a unit of angle measure that is 1/360th of a circle

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19
Q

diameter

A

a segment with endpoints on a circle and passing through the center of the circle

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20
Q

distance between two points

A

the absolute value of the difference of the coordinates of the points

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21
Q

endpoint

A

a point at an end of a segment or the starting point of a ray

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22
Q

exterior of an angle

A

the set of all points outside an angle

23
Q

height of a triangle

A

a segment from a vertex that forms a right angle with a line containing the base

24
Q

hypotenuse

A

the side opposite the right angle in a right triangle

25
image
the shape resulting from a transformation of a figure known as the preimage
26
interior of an angle
the set of all points between the sides of an angle
27
leg of a right triangle
one of the two sides of a right triangle that form the right angle
28
length
the distance between the two endpoints of a segment
29
line
an undefined term; a line is a straight path that has no thickness and extends forever
30
linear pair
a pair of adjacent angles whose noncommon sides are opposite rays
31
measure of an angle
the number of degrees that an angle contains
32
midpoint
the point that divides a segment into two congruent segments
33
obtuse angle
an angle measuring more than 90 degrees and less than 180 degrees
34
opposite rays
two rays that have a common endpoint and form a line
35
perimeter
the sum of the side lengths of a closed plane figure
36
pi
the ratio of the circumference of a circle to its diameter
37
plane
an undefined term; it is a flat surface that has no thickness and extends forever
38
point
an undefined term; it names a location and has no size
39
postulate
a statement that is accepted as true, without proof
40
preimage
the original figure in a transformation
41
radius
a segment whose endpoints are the center of a circle (or sphere) and a point on the circle (or sphere)
42
ray
a part of a line that starts at an endpoint and extends forever in one direction
43
reflection
a transformation across a line (line of reflection) such that the line is the perpendicular bisector of every segment joining each point and its image
44
right angle
an angle measuring 90 degrees
45
rotation
a transformation about a point P (center of rotation) such that every point and its image are the same distance from P and all of the angles with vertex P formed by each point and its image are congruent
46
segment (line segment)
part of a line consisting of two points (endpoints) and all of the points between them
47
segment bisector
a line, ray, segment, or plane that divides a segment into two congruent segments
48
straight angle
an angle measuring 180 degrees
49
supplementary angles
two angles whose measures have a sum of 180 degrees
50
transformation
a change in the position, size, or shape of a figure
51
translation
a transformation that shifts or slides every point of a figure the same distance and the same direction
52
undefined term
a basic geometric figure that is not defined in terms of other figures
53
vertex of an angle
the common endpoint of the sides of an angle
54
vertical angles
the nonadjacent angles formed by two intersecting lines