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Geometry Honors First Final > Study Please > Flashcards

Study Please Flashcards

0
Q 
Angle Addition Postulate
   /A
 / 1
---------B 
 \ 2
   \C
A 
/A
 / 1
---------B => m<ABC
 \ 2
   \C
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1
Q

Segment Addition Postulate

S——-T———-U =>

A

S——-T———-U => ST +TU = SU

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2
Q

Adjacent

A

Two angles that share a common vertex, a common side, and no common interior points

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3
Q

Collinear

A

2 or more points on the same line

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4
Q

Coplanar

A

2 or more objects on the same plane

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5
Q

How to prove supplementary

A

Use linear pair postulate first and then definition of complements or definition of supplements

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6
Q

Vertical angles

A

Have same angle measure

Opposite angles of two or more intersecting rays

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7
Q

Midpoint formula

A

Average of X’s , Average of Y’s

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8
Q

Distance Formula

A

Square root of X1-X2 squared

+ Y1-Y2 squared

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9
Q

Concave

A

Comes in on itself has interior points

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10
Q

Inductive Reasoning

A

Reasoning based on patterns and examples

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11
Q

Conjecture

A

A prediction based on inductive reasoning

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12
Q

Biconditional

A

If and only if (IFF)

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13
Q

Counterexample

A

Proves that a conjecture is false (works for hypothesis but fails for conclusion)

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14
Q

Conditional Statement

A

If p, then q (original statement)

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15
Q

Converse

A

If q, then p

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16
Q

Contrapositive

A

If not q, then not p

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17
Q

Inverse

A

If not p, then not q

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18
Q

Deductive Reasoning

A

Reasoning based on logic and facts

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19
Q

Ways to prove angles congruent with parallel lines

A

PICAE, PIAIE, PIAEE, PISIS

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20
Q

Ways to prove parallel

A

CAEP, AIEP, SISP

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21
Q

Perpendicular Transversal Theorem

If a ll b and a is perpendicular to c

A

B is perpendicular to c

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22
Q

Perpendicular Transversal Converse

If b and a are both perpendicular to c

A

A ll B

23
Q

Orthocenter

A

Intersection of altitudes, LAME

24
Q

Incenter

A

Intersection of angle bisectors, equidistant to the sides

25
Q

Circumcenter

A

Intersection of the perpendicular bisectors, equidistant to angles

26
Q

Centroid

A

Intersection of medians, 2:1 ratio and 2:3 ratio

27
Q

Skew lines

A

Two lines that are not parallel and don’t intersect

28
Q

Ways to prove similar triangles

A

SSS, AA, SAS

29
Q

Ways to prove congruent triangles

A

SAS, SSS, ASA, AAS

30
Q

Indirect proof

A

Used to prove something isn’t true, start with assume the opposite of what you’re trying to prove is true

31
Q

Isosceles triangle converse

If the base angles are congruent

A

The the triangle’s legs are congruent

32
Q

Midsegment

A

The segment that connects the midpoints of 2 sides of a triangle. Is parallel to the ll sides of a trapezoid, is the average of those lengths

33
Q

HL

A

Any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

34
Q

Definition of right angle

Angle 3 is a right angle

A

Angle 3 equals 90 degrees

35
Q

Definition of parallelogram

A

A quadrilateral with opposite sides parallel

36
Q

CPCTC

A

Corresponding parts of congruent triangles congruent

37
Q

CSSTP

A

Corresponding sides of similar triangles proportional

38
Q

CASTC

A

Corresponding Angles of Similar Triangles Congruent

39
Q

Definition of Trapezoid

A

At least one pair of opposite sides parallel called bases

40
Q

Definition of rhombus

A

An equilateral parallelogram

41
Q

Ways to prove rhombus

A

Perpendicular diagonals, diagonals bisect angles, consecutive sides congruent

42
Q

Ways to prove parallelogram

A

Opposite sides congruent, diagonals bisect, opposite angles equal, same side angles supplementary

43
Q

Definition of rectangle

A

A parallelogram with four right angles

44
Q

Ways to prove rectangle

A

Bisected diagonals equal, all angles congruent

45
Q

Definition of square

A

An equilateral and equiangular quadrilateral

46
Q

Definition of kite

A

A Quadrilateral with 2 pairs of congruent sides and the opposite sides are not congruent

47
Q

Dual parallel theorem

a ll b, b ll c

A

a ll c

48
Q

Shortest distance between a point and a line

A

Perpendicular Distance

49
Q

Isosceles Trapezoid

A

Has exactly one pair of parallel sides and the two other sides are congruent

50
Q

Properties of isosceles trapezoid

A

Two sides triangles are congruent through HL, diagonals are congruent but don’t bisect

51
Q

Linear Pair Postulate

Angle 7 is a linear pair with Angle 8

A

Angle 7 and Angle 8 are supplements

52
Q

Median

A

Joins a vertex to the midpoint of the opposite side

53
Q

Perpendicular Bisector

A

A line that passes through the midpoint of a segment and is perpendicular to that segment

54
Q

Angle Bisector

A

A line segment that bisects one of the vertex angles of a triangle

55
Q

Altitude

A

A line that comes from the vertex of a triangle and is perpendicular to the opposite side

Geometry Honors First Final (1 decks)

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