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GRE Quantitative NOOR > Geometry > Flashcards

Geometry Flashcards

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1
Q

A point

A

has no size and is the simplest geometric figure.

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2
Q

All geometric figures consist of

A

points

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3
Q

A line

A

is understood to be a straight line that extends in both directions without end.

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4
Q

A plane

A

can be thought of as a floor or a tabletop, except that a plane extends in all directions without end and has no thickness.

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5
Q

Given any two points on a line, a line segment is

A

the part of the line that contains the two points and all the points between them.

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6
Q

Given any two points on a line, a line segment is the part of the line that contains the two points and all the points between them. The two points are called

A

endpoints

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7
Q

congruent line segments

A

Line segments that have equal lengths

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8
Q

midpoint

A

The point that divides a line segment into two congruent line segments

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9
Q

line segments BC and CD are

A

congruent

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10
Q

point c is

A

halfway between B and D, point C is the midpoint of line segment BD.

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11
Q

Sometimes the notation AB denotes line segment AB, and sometimes it denotes the

A

length of line segment AB

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12
Q

When two lines intersect at a point, they form

A

four angles

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13
Q

When two lines intersect at a point, they form four angles. Each angle has

A

a vertex at the point of intersection of the two lines.

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14
Q

APC and BPD, are called

A

opposite angles, also known as vertical angles

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15
Q

Opposite angles have

A

equal measures

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16
Q

congruent angles

A

angles that have equal measures

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17
Q

Sometimes the angle symbol is used instead of the word

A

angle

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18
Q

perpendicular lines

A

Two lines that intersect to form four congruent angles

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19
Q

Two lines that intersect to form four congruent angles are called perpendicular lines. Each of the four angles has a measure of

A

90º

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20
Q

An angle with a measure of 90º is called a

A

right angle

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21
Q

this means

A

perpendicular

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22
Q

acute angle

A

An angle with measure less than 90º

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23
Q

obtuse angle

A

an angle with measure between 90º and 180º

24
Q

parallel lines

A

Two lines in the same plane that do not intersect

25
Q
A

parallel

26
Q

when two parallel lines are intersected by a third line it formes …… angle/s

A

8

27
Q

Label the angles of two parallel lines intersected by a third line

A
28
Q

x+y=

A

180

29
Q

polygon

A

a closed figure formed by three or more line segments

30
Q

sides

A

line segments

31
Q

vertices

A

A polygon is a closed figure formed by three or more line segments, called sides. Each side is joined to two other sides at its endpoints, and the endpoints

32
Q

convex polygon means

A

polygon

33
Q

the term “polygon” means “convex polygon”, that is, a polygon in which

A

the measure of each interior angle is less than 180°

34
Q
A

Triangle (3 sides)

Quadrilateral (4 sides)

Pentagon (5 sides)

35
Q

all of these are

A

convex

36
Q

The simplest polygon is

A

triangle

37
Q

quadrilateral can be divided into

A

2 triangles by drawing a diagonal

38
Q

a pentagon can be divided

A

into 3 triangles by selecting one of the vertices and drawing 2 line segments connecting that vertex to the two nonadjacent vertices

39
Q

If a polygon has n sides, it can be divided into

A

n-2 triangles

40
Q

Since the sum of the measures of the interior angles of a triangle is

A

180 degrees

41
Q

If a polygon has n sides, it can be divided into (n-2) n minus 2 triangles. Since the sum of the measures of the interior angles of a triangle is 180º, it follows that the sum of the measures of the interior angles of an n sided polygon is

A
42
Q

since a quadrilateral has …… sides, the sum of the measures of the interior angles for a quadrilateral is

A

4

43
Q

since a hexagon has ………. sides, the sum of the measures of the interior angles for a hexagon is

A

6

44
Q

regular polygon means

A

A polygon in which all sides are congruent and all interior angles are congruent

45
Q

since an octagon has ……sides, the sum of the measures of the interior angles of an octagon is

A

8

46
Q

in a regular octagon the measure of each angle is

A
47
Q

The perimeter of a polygon is

A

the sum of the lengths of its sides

48
Q

The area of a polygon refers to

A

the area of the region enclosed by the polygon

49
Q

Every triangle has

A

three sides and three interior angles.

50
Q

Every triangle has three sides and three interior angles. The measures of the interior angles add up to

A

180°

51
Q

Every triangle has three sides and three interior angles. The measures of the interior angles add up to 180°. The length of each side must be

A

be less than the sum of the lengths of the other two sides.

52
Q

The length of each side must be less than the sum of the lengths of the other two sides. For example,

A

the sides of a triangle could not have the lengths 4, 7, and 12 because 12 is greater than 4 + 7.

53
Q

equilateral triangle

A

A triangle with three congruent sides.

The measures of the three interior angles of such a triangle are also equal, and each measure is 60º.

54
Q

isosceles triangle

A

A triangle with at least two congruent sides

55
Q
A

GRE Quantitative NOOR (1 decks)

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