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Math/Science Review > Geometric Lines and Shapes > Flashcards

Geometric Lines and Shapes Flashcards

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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
Q

Chord

A

A line segment that connects two points on the circumference of a circle. The diameter is the longest cord in any give circle

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26
Q

Perimeter

A

The distance around the outside of a figure

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27
Q

Scalene triangle

A

Triangle with no sides or angles congruent to each other all three sides are of different lengths

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28
Q

Circumference

A

The perimeter of a circle. C=2(pi)r

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29
Q

Surface Area

A

The area of the outside surface of a three dimensional object

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30
Q

CPCTC: AAS

A

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

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31
Q

Complementary angles

A

The two angles that some to 90°

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32
Q

Rectangle

A

Parallelogram with for right 90° angles. both pairs of opposite sides are parallel. Sides do not need to be congruent but can be.

33
Q

Plane

A

An infinite “surface” with no thickness that extends infinitely in all directions

34
Q

Point

A

A location in space without any dimension

35
Q

Similar Shapes

A

Shapes are similar when they have congruent angle measures and number of sides, but no different overall size

36
Q

Supplementary angles

A

Two angles that sum to 180°

37
Q

Congruent Shapes

A

Equal in measure, symbolized by ~=

38
Q

Volume

A

The measure of the total three dimensional space contained inside an object

39
Q

Equiangular Polygon

A

Polygon with all angles congruent (equal measure)

40
Q

Radian

A

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
Q

Exterior angle of a polygon

A

The angle between a side and an adjacent side extended, on the exterior of a closed shape

42
Q

Concave polygon

A

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
Q

Alternate exterior angles

A

It’s a transversal intersex to parallel lines, then the alternate exterior angles are congruent

44
Q

CPCTC: SSS

A

If three sides of one triangles are congruent to three sides of another triangle, then the triangles are congruent

45
Q

Rhombus

A

Parallelogram with all sides of congruent length

46
Q

CPCTC: SAS

A

If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent

47
Q

Equal lateral polygon

A

Polygon with all sides congruent

48
Q

Vertices

A

The corners of the sheep

49
Q

Line

A

An infinite set of points arranged straight in opposing directions, with infinite length and no thickness

50
Q

Net

A

A two dimensional representation or pattern for a three dimensional object

51
Q

Trapezoid

A

Quadrilateral with one pair of parallel sides and one pair of non-parallel sides

52
Q

Lateral surface area

A

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

53
Q

Area

A

The amount of surface inside of a figure

54
Q

Apothem

A

A line segment from the center of the polygon to the midpoint of a side

55
Q

Right triangle

A

Triangle with one right angle measuring exactly 90°

56
Q

Radius of a polygon

A

A line segment from the center of the polygon to a vertices

57
Q

Square

A

Rectangle with four congruent sides four sides of the same measure

58
Q

Corresponding angles

A

If a transversal intersects two parallel lines, the pairs of corresponding angles are congruent

59
Q

Regular polygon

A

A polygon with all sides congruent to each other and all angle measures congruent to each other

60
Q

CPCTC: RHS

A

In to right angled triangles, if the hypotenuse and one other pair of corresponding side lengths are equal the triangles are congruent 

61
Q

Equilateral triangle/ equiangular triangle

A

A regular polygon of three sides; triangle with all sides congruent to each other and all angles are congruent to each other

62
Q

Kite

A

Quadrilateral with two pairs of congruent sides that are adjacent to each other

63
Q

Circle

A

The set of all points equidistant the same distance from a given point the center. Circles have no sides nor interior angles

64
Q

Coplanar

A

Lying on the same plane

65
Q

Radius of a circle

A

The distance from the center of a circle to a point on the circle

66
Q

Interior angle

A

The angle formed on the interior of a closed shape

67
Q

Face

A

The sides of the shape

68
Q

Triangle

A

Polygon with three vertices and three sides

69
Q

Secant

A

A line cutting through two points on a circle and extended chord

70
Q

Triangle similarity rule: side-angle-side (SAS)

A

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
Q

Corresponding parts of congruent triangles congruency

A

When two triangles are congruent each part of the triangle is congruent to the corresponding part in the other triangle

72
Q

Tangent

A

A line that touches the circle at one point only

73
Q

Circumcircle

A

A circle drawn on the outside of a polygon that connects all the vertices

74
Q

Obtuse angle

A

An angle measuring between 90° and 180°

75
Q

Parallelogram

A

Quadrilateral with two pairs of opposite sides that are parallel to each other

76
Q

Cyclic Quadrilateral

A

A quadrilateral inside a circle that has all four vertices as points on the circle circumference

77
Q

Arc length

A

The measure of a section of the circumference of a circle

78
Q

Edge

A

Where these faces meet

79
Q

Central angle

A

Measurement in degrees or radians of an angle with its vertex on the center of the circle

Math/Science Review (21 decks)

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