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Flashcards in Midterm math study guide Deck (63):
1

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

net

2

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

isometric drawing

3

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

orthographic drawing

4

indicates a location and has no size

point

5

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

line

6

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

plane

7

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

segment

8

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

ray

9

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

intersection

10

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

coordinate

11

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

distance

12

the point that divides a segment into two congruent segments

midpoint

13

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

segment bisector

14

two rays that have the same endpoint

angle

15

the endpoint of the two rays that form an angle

Vertex

16

angles that measures below 90

acute

17

angle that measures 90

right angle

18

angle that measures above 90

obtuse

19

angle that measures 180

straight

20

equal

congruent

21

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

adjacent angles

22

two angles whose sides form two pairs of opposite rays

vertical angles

23

the sum of two angles equal 90

complementary angle

24

the sum of two angles equal 180

supplementary

25

a ray that divides an angle into two congruent angles

angle bisector

26

lines that intersect and form right angles

perpendicular lines

27

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

perpendicular bisector

28

sum of lengths of a figure's sides

perimeter

29

the amount of space a flat object takes up in squares

area

30

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

inductive reasoning

31

a conclusion reached by using inductive reasoning

conjecture

32

an example showing that a statement is false

counterexample

33

an if-then statement

conditional

34

the "if" in an if-then statement

hypothesis

35

the "then" in an if-then statement

conclusion

36

the opposite

negation

37

reversing the hypothesis and conclusion of a conditional

converse

38

negating the hypothesis and conclusion of a converse

contrapositive

39

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

biconditional

40

a=a

reflexive property

41

if a=b, b=a

symmetric property

42

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

transitive property

43

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

distributive property

44

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

parallel lines

45

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

skew lines

46

a line that intersects two or more lines at distinct points

transversal

47

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

corresponding angles

48

polygons that have corresponding sides congruent and corresponding angles congruent

congruent ploygons

49

the side opposite opposite the right angle in a right triangle

hypotenuse

50

a sequence of never-ending geometric patterns

tessallation

51

Theorem 2.1: Vertical Angles Theorem

vertical angels are congruent

52

Theorem 3.8: parallel lines

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

53

Theorem 3.10: Perpendicular Transversal Theorem

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

54

Theorem 3.11: Triangle Angle-Sum Theorem

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

55

Theorem 4-1: Third Angles Theorem

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

56

Theorem 4-2: Angle-Angle-Side Theorem

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

Theorem 4-3: Isosceles Triangle Theorem

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

58

Theorem 4-4: Converse of the Isosceles Triangle Theorem

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

59

Theorem 4-5: perpendicular bisector

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

60

Theorem 4-6: Hypotenuse-Leg Theorem

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

Postulate 4-1: Side-Side-Side Postulate

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

62

Postulate 4-2: Side-Angle-Side Postulate

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

Postulate 4-3: Angle-Side-Angle Postulate

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.