geomentry Unit 2 and 3 Flashcards

1
Q

Fractional distance with midpoint formula x

A

x= x1 + k (x2 -x1)

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2
Q

Fractonal distance with midpoint formula y

A

y = y1+ k (y2- y1)

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3
Q

number line fractional distance

A

p = a + k ( b - A)

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4
Q

Distance formual derived ?

A

from tharogream therom

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5
Q

parallel

A

lines that never touch
keep the same slope, but put in pint slope form

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6
Q

perpendicular lines

A

lines that intersect at 90
make slope negite and wirite it reciporical nd then put it in point slope form.

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7
Q

circle centered at orign equation

A

x squared + y squared = radius squared

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8
Q

circle not centered at origin

A

(x-h) squared + (y-k) squared = radius squared

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9
Q

equilateral triangle

A

has 3 equal sides

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10
Q

scalenae triangle

A

no equal sides

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11
Q

isodocles triangle

A

2 equal sides

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12
Q

triangle enquality theorm

A

side 1 + side 2 has to be great than side 3 for it to be a tringle?

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13
Q

cpctc

A

corespoidn parts of congruent triangles are congruent

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14
Q

congruence tranfomations

A

rotating, refelcting, translating

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15
Q

reflexive property

A

every trinangle congruent to itself

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16
Q

symetrical property

A

every congruence statement can be reversed

17
Q

Transitive property

A

in a chain of congruence statements the first triangle is congruent to the last triangle .

18
Q

congruence postulates of triangles

A

sss, sas, aas, asa

19
Q

false ongruence postulates

A

ssa and aaa

20
Q

simalarity postulates

A

aa, sas, sss

21
Q

similar tirangles

A

have same shape

22
Q

congruent triangles

A

havve the same shpe and size

23
Q

extreme

A

biggeest and smallest value is cross multiplicatio

24
Q

means

A

vaeles between the extrme and values in cross multiplication

25
Q

colrollories of Isoscels triangle

A

1 : equalateril triangles are also equliangular, and vice versa

2: Ech angle sin a equlateril triangle measures 60

26
Q

longest -largest

A

the longest side of a triangle is opposite to it largest measure

27
Q

shortest - smallest

A

the shortest side of a triangle is opposide to its smallest measure

28
Q

isosoceles trianlges property

A

if the measure of a triangle is exactly double the measure of one of its interioir anfles then the triangle is isocoles

29
Q

converse of isoceles triangle theorem
knonw the original

A

is 2 angles in a triangle are congruent then the sides opposite to those angles are also congruent

30
Q

median

A

a line segment that starts from a vertex and them extends to the midpoint of the other side

31
Q

alititude

A

a line sengemnt that starts at a vertex and them extexds to the other side of a triangle. Cuts the triangle not n the middle but at 90 degees

32
Q

ceneroid

A

point where all 3 medians meet

33
Q

orthocenter

A

the line where all 3 altitudes meet

34
Q

intercenter

A

point where triangles anlge bisectors meet

35
Q

circumcenter

A

point where triangles perpendicular bisectors meeet

36
Q

midsegement

A

the midsegemnt of one side of a triangle connected tot he midsegment of a another side of a triangle