Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

Geometry Terms > Proof Postilates and Properties and vocab > Flashcards

Proof Postilates and Properties and vocab Flashcards

1
Q

Commutative property of addition

A

a+b=b+a

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Commutative property of multiplication

A

ab=ba

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Associative property of addition

A

(a+b)+c=a+(b+c)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Associative property of multiplication

A

(ab)c=a(bc)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Distributive property

A

A(b+c)=ab+ac

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Reflective property

A

a=a

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Transitive property

A

a=b b=c

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Addition property of equity

A

a=b a+c =b+c

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Symmetric property

A

a=b b=a

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Subtraction property of equity

A

a=b a-c=b-c

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Multiplication property of equality

A

a=b ac=bc

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Division property of equity

A

a=b a/c b/c provided c dowse not = 0 also If a=b and b=c then a/c=b/d provided that c or d does not = 0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Square root property

A

A^2 = b then a=+-b square rooted

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Zero product property

A

ab= 0 then a=0 and/or b0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

AIA

A

When two lines are crossed by another line (which is called the Transversal), the pairs of angles. • on opposite sides of the transversal. • but inside the two lines. are called Alternate Interior Angles.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Altitude

A

An altitude of a triangle. An altitude is a line which passes through a vertex of a triangle, and meets the opposite side at right angles. A triangle has three altitudes. … The length of a perpendicular from a side of the triangle to the opposite vertex.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Angle bisector

A

An altitude of a triangle. An altitude is a line which passes through a vertex of a triangle, and meets the opposite side at right angles. A triangle has three altitudes. … The length of a perpendicular from a side of the triangle to the opposite vertex.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Congruence

A

In elementary geometry the word congruent is often used as follows. The word equal is often used in place of congruent for these objects. Two line segments are congruent if they have the same length. Two angles are congruent if they have the same measure.

19
Q

C.A.

A

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.

20
Q

Iscosolise triangle

A

A triangle with two congruent sides and both base angles congruent

21
Q

Linear pair

A

Definition. A linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.

22
Q

Midpoint

A

Midpoint of a line segment. Definition: A point on a line segment that divides it into two equal parts. The halfway point of a line segment.

23
Q

Parollelagram

A

a four-sided plane rectilinear figure with opposite sides parallel.

24
Q

Perpendicular

A

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.

25
Q

Right angle

A

An angle that measures 90 degrees

26
Q

Segment bisector

A

Segment Bisector: A point, segment, line, or plane that divides a line segment into two equal parts. The bisector of a segment always contains the midpoint of the segment

27
Q

Supplementary angles

A

Angles that add up to 180

28
Q

Vertical angles

A

Vertical Angles. Vertical angles are a pair of non-adjacent angles formed when two lines intersect. We see intersecting lines all the time in our real world. Here, we see two vapor trails that intersect.

29
Q

Line postulate

A

Through 2 points there can only be 1 line

30
Q

Line intersection postulate

A

There is 1 point of intersection between two lines

31
Q

Segment duplication postulate

A

You can construct a segment congruent to another segment

32
Q

Angle duplication postulate

A

You can create a congruent angle

33
Q

Midpoint postulate

A

You can have 1 midpoint o a segment

34
Q

Angle bisector postulate

A

You can construct 1 angle bisector through 1 angle

35
Q

Parallel postulate

A

Through a point not on a given line you can construct 1 parallel line

36
Q

Perpendicular postulate

A

Through a point you can construct 1 perpendicular

37
Q

Segment addition postulate

A

If b is on ac then ab+by=ac

38
Q

Angle addition postulate

A

Angle a + angle b =angle c if angle b cuts angle c

39
Q

Linear pair postulate

A

If two angles are a linier pair then they are supplementary.

40
Q

Corresponding angles postulate

A

If two parallel lines are cut by a transversal then the corresponding angles are congruent

41
Q

SSS congruence postulate

A

If three sides of 1 triangle are congruent to another triangles side then the triangle is congruent

42
Q

SAS

A

S angle side is congruent

43
Q

A side angle

A

Is congruent

44
Q

Cpctc

A

Corespondent part of congruent triangles are congruent

Geometry Terms (7 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions