Midterm math study guide Flashcards

1
Q

a two-dimensional pattern that you can fold to form a three dimensional figure

A

net

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2
Q

you can see the top, front, and side of an object in the same drawing

A

isometric drawing

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3
Q

shows the top view, front view, and right-side view of a three dimensional figure

A

orthographic drawing

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4
Q

indicates a location and has no size

A

point

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5
Q

a straight path that extends in two opposite directions without end and has no thickness. Infinitely many points

A

line

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6
Q

a flat surface that extends without end and has no thickness. It has infinitely many lines

A

plane

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7
Q

the part of a line that consists of two points, called endpoints, and all points between them

A

segment

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8
Q

part of a line that consists of one endpoint and all the points of the line on one side of the endpoint

A

ray

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9
Q

the set of points two or more geometric figures have in common

A

intersection

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10
Q

the distance and direction of a point from the origin of a number line

A

coordinate

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11
Q

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

A

distance

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12
Q

the point that divides a segment into two congruent segments

A

midpoint

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13
Q

a line, segment, or ray that intersects a segment at its midpoint

A

segment bisector

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14
Q

two rays that have the same endpoint

A

angle

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15
Q

the endpoint of the two rays that form an angle

A

Vertex

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16
Q

angles that measures below 90

A

acute

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17
Q

angle that measures 90

A

right angle

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18
Q

angle that measures above 90

A

obtuse

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19
Q

angle that measures 180

A

straight

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20
Q

equal

A

congruent

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21
Q

two coplanar angles that have a common side and vertex but no common interior points

A

adjacent angles

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22
Q

two angles whose sides form two pairs of opposite rays

A

vertical angles

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23
Q

the sum of two angles equal 90

A

complementary angle

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24
Q

the sum of two angles equal 180

A

supplementary

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25
Q

a ray that divides an angle into two congruent angles

A

angle bisector

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26
Q

lines that intersect and form right angles

A

perpendicular lines

27
Q

a line, segment, or ray that is perpendicular to the segment at its midpoint

A

perpendicular bisector

28
Q

sum of lengths of a figure’s sides

A

perimeter

29
Q

the amount of space a flat object takes up in squares

A

area

30
Q

a type of reasoning that reaches conclusions based on a pattern of specific examples or past events

A

inductive reasoning

31
Q

a conclusion reached by using inductive reasoning

A

conjecture

32
Q

an example showing that a statement is false

A

counterexample

33
Q

an if-then statement

A

conditional

34
Q

the “if” in an if-then statement

A

hypothesis

35
Q

the “then” in an if-then statement

A

conclusion

36
Q

the opposite

A

negation

37
Q

reversing the hypothesis and conclusion of a conditional

A

converse

38
Q

negating the hypothesis and conclusion of a converse

A

contrapositive

39
Q

the combination of a true conditional and its true converse. uses “if and only if”

A

biconditional

40
Q

a=a

A

reflexive property

41
Q

if a=b, b=a

A

symmetric property

42
Q

If a=b and b=c, a=c

A

transitive property

43
Q

using multiplication to distribute “a” to each term of the sum or difference within the parentheses

A

distributive property

44
Q

two lines that lie in the same plane and do not intersect

A

parallel lines

45
Q

lines that do not lie in the same plane and do not intersect

A

skew lines

46
Q

a line that intersects two or more lines at distinct points

A

transversal

47
Q

angles that lie on the same side of the transversal and in corresponding positions

A

corresponding angles

48
Q

polygons that have corresponding sides congruent and corresponding angles congruent

A

congruent ploygons

49
Q

the side opposite opposite the right angle in a right triangle

A

hypotenuse

50
Q

a sequence of never-ending geometric patterns

A

tessallation

51
Q

Theorem 2.1: Vertical Angles Theorem

A

vertical angels are congruent

52
Q

Theorem 3.8: parallel lines

A

If two lines are parallel to the same line, then they are parallel to each other

53
Q

Theorem 3.10: Perpendicular Transversal Theorem

A

In a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other

54
Q

Theorem 3.11: Triangle Angle-Sum Theorem

A

The sum of the measures of the angles of a triangle is 180.

55
Q

Theorem 4-1: Third Angles Theorem

A

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent

56
Q

Theorem 4-2: Angle-Angle-Side Theorem

A

If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent

57
Q

Theorem 4-3: Isosceles Triangle Theorem

A

If two sides of a triangle are congruent, then the angles opposite those sides are congruent

58
Q

Theorem 4-4: Converse of the Isosceles Triangle Theorem

A

If two angles of a triangle are congruent, then the sides opposite those angles are congruent

59
Q

Theorem 4-5: perpendicular bisector

A

If a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base

60
Q

Theorem 4-6: Hypotenuse-Leg Theorem

A

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent

61
Q

Postulate 4-1: Side-Side-Side Postulate

A

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

62
Q

Postulate 4-2: Side-Angle-Side Postulate

A

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

63
Q

Postulate 4-3: Angle-Side-Angle Postulate

A

If two angles and the included side of one triangle are congruent to the two angles and the included angle of another triangle, then the two triangles are congruent.