Geometric Lines and Shapes Flashcards

1
Q

Sector

A

The area of a proportion of a circle defined by the central angle

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2
Q

Straight angle

A

An angle measuring exactly 180°

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3
Q

Convex polygon

A

Polygon for which all interior angles are less than 180°; vertices seem to point outward; all diagonals will be contained within the polygon

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4
Q

Acute angle

A

And angle measuring between zero and 90°

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5
Q

Alternate interior angles

A

If a transversal intersects two parallel lines then the alternate interior angles are congruent

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6
Q

Acute triangle

A

Triangle with each angle being an acute angle; each angle measuring less than 90°

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7
Q

Right angle

A

And angle measuring exactly 90°. All right angles are congruent

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8
Q

Angle

A

The figure formed by the intersection of two rays, lines, or line segments, or else by two raise with a common endpoint

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9
Q

Vertical angles

A

The pair of opposite angles created when two lines intersect. the angles are congruent

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10
Q

Triangle similarity rule: angle-angle (AA)

A

If two angles of one triangles are congruent to angles of another triangle, The triangles are similar

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11
Q

Polygon

A

A multi sided, closed figure made up of vertices and edges

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12
Q

Irregular polygon

A

A polygon with sides and angle measures that are not all the same

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13
Q

Obtuse triangle

A

Triangle with one obtuse angle; one angle measuring more than 90°

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14
Q

Vertex

A

A point where to rays, lines, or line segments meet, such as the point where to rays, lines, or line segments intersect to form an angle

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15
Q

Diagonal

A

On a polygon, a line segment drawn from one vertices to another that is not a side

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16
Q

Triangle similarity rule: side-side-side (sss)

A

If the three sets of corresponding sides of two triangles are in proportion the triangles are similar

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17
Q

Inscribed angle

A

An angle made from points on a circle circumference

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18
Q

Incircle

A

A circle drawn on the inside of the polygon that touches the midpoint of each side

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19
Q

Total surface area

A

The sum of all of the areas of all faces of a solid object

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20
Q

Diameter of a circle

A

The length of a segment that goes from one point on a circle through its center, and continues on to the another point on the other side of the circle

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21
Q

Collinear

A

Lying on the same line

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22
Q

Quadrilateral

A

Polygon with four vertices and four sides (parallelogram)

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23
Q

Reflex angle

A

And angle measuring between 180° and 360°

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24
Q

Isosceles triangle

A

Triangle with at least two sides are congruent to each other and their two base angles congruent to each other

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25
Chord
A line segment that connects two points on the circumference of a circle. The diameter is the longest cord in any give circle
26
Perimeter
The distance around the outside of a figure
27
Scalene triangle
Triangle with no sides or angles congruent to each other all three sides are of different lengths
28
Circumference
The perimeter of a circle. C=2(pi)r
29
Surface Area
The area of the outside surface of a three dimensional object
30
CPCTC: AAS
It’s two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent
31
Complementary angles
The two angles that some to 90°
32
Rectangle
Parallelogram with for right 90° angles. both pairs of opposite sides are parallel. Sides do not need to be congruent but can be.
33
Plane
An infinite “surface” with no thickness that extends infinitely in all directions
34
Point
A location in space without any dimension
35
Similar Shapes
Shapes are similar when they have congruent angle measures and number of sides, but no different overall size
36
Supplementary angles
Two angles that sum to 180°
37
Congruent Shapes
Equal in measure, symbolized by ~=
38
Volume
The measure of the total three dimensional space contained inside an object
39
Equiangular Polygon
Polygon with all angles congruent (equal measure)
40
Radian
The unit of measure for angles. One Radian is the angle made at the center of a circle by an arc whose length is equal to the radius of the circle
41
Exterior angle of a polygon
The angle between a side and an adjacent side extended, on the exterior of a closed shape
42
Concave polygon
Polygon that has at least one interior angle that is more than 180°; at least one vertex seems to point inward; diagonals pass outside of the polygon
43
Alternate exterior angles
It’s a transversal intersex to parallel lines, then the alternate exterior angles are congruent
44
CPCTC: SSS
If three sides of one triangles are congruent to three sides of another triangle, then the triangles are congruent
45
Rhombus
Parallelogram with all sides of congruent length
46
CPCTC: SAS
If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent
47
Equal lateral polygon
Polygon with all sides congruent
48
Vertices
The corners of the sheep
49
Line
An infinite set of points arranged straight in opposing directions, with infinite length and no thickness
50
Net
A two dimensional representation or pattern for a three dimensional object
51
Trapezoid
Quadrilateral with one pair of parallel sides and one pair of non-parallel sides
52
Lateral surface area
The sum of the areas of all faces including the bases of a solid object
53
Area
The amount of surface inside of a figure
54
Apothem
A line segment from the center of the polygon to the midpoint of a side
55
Right triangle
Triangle with one right angle measuring exactly 90°
56
Radius of a polygon
A line segment from the center of the polygon to a vertices
57
Square
Rectangle with four congruent sides four sides of the same measure
58
Corresponding angles
If a transversal intersects two parallel lines, the pairs of corresponding angles are congruent
59
Regular polygon
A polygon with all sides congruent to each other and all angle measures congruent to each other
60
CPCTC: RHS
In to right angled triangles, if the hypotenuse and one other pair of corresponding side lengths are equal the triangles are congruent 
61
Equilateral triangle/ equiangular triangle
A regular polygon of three sides; triangle with all sides congruent to each other and all angles are congruent to each other
62
Kite
Quadrilateral with two pairs of congruent sides that are adjacent to each other
63
Circle
The set of all points equidistant the same distance from a given point the center. Circles have no sides nor interior angles
64
Coplanar
Lying on the same plane
65
Radius of a circle
The distance from the center of a circle to a point on the circle
66
Interior angle
The angle formed on the interior of a closed shape
67
Face
The sides of the shape
68
Triangle
Polygon with three vertices and three sides
69
Secant
A line cutting through two points on a circle and extended chord
70
Triangle similarity rule: side-angle-side (SAS)
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar
71
Corresponding parts of congruent triangles congruency
When two triangles are congruent each part of the triangle is congruent to the corresponding part in the other triangle
72
Tangent
A line that touches the circle at one point only
73
Circumcircle
A circle drawn on the outside of a polygon that connects all the vertices
74
Obtuse angle
An angle measuring between 90° and 180°
75
Parallelogram
Quadrilateral with two pairs of opposite sides that are parallel to each other
76
Cyclic Quadrilateral
A quadrilateral inside a circle that has all four vertices as points on the circle circumference
77
Arc length
The measure of a section of the circumference of a circle
78
Edge
Where these faces meet
79
Central angle
Measurement in degrees or radians of an angle with its vertex on the center of the circle