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

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