Regents Review

Question 1

sum of interior angles

Answer 1

180(n-2)

Question 2

*

one interior angle in a polygon

Answer 2

180(n-2)/n

Question 3

sum of exterior angles

Answer 3

360

Question 4

one exterior angle in a polygon

Answer 4

360/n

Question 5

scalene triangle

Answer 5

no congruent sides

Question 6

isosceles

Answer 6

2 congruent sides

Question 7

equilateral

Answer 7

all congruent sides

Question 8

acute

Answer 8

all angles <90 degrees

Question 9

right

Answer 9

one right angle

Question 10

obtuse

Answer 10

one angle >90 degrees

Question 11

equilangular

Answer 11

all congruent angles (60 degrees)

Question 12

exterior angle theorum

Answer 12

exterior angle of a triangle is equal to the sum of the two opposite angles

Question 13

midsegment theorum

Answer 13

a segment paralell to base side cuts a triangle joins two midpoints

Question 14

slope-intercept form

Answer 14

y = mx + b

Question 15

point-slope form

Answer 15

y - y1 = m(x-x1)

Question 16

slope formula

Answer 16

(y2-y1)/(x2-x1), RISE/RUN

Question 17

slope of parallel lines

Answer 17

equal

Question 18

slope of perpendicular lines

Answer 18

negative reciprocal

Question 19

midpoint formula

Answer 19

M = (x2+x1)/2
M = (y2+y1)/2

Question 20

distance formula

Answer 20

√(x2-x1)^2 + (y2-y1)^2

Question 21

segment partition

Answer 21

(a(x) + (y)b)/a + b

Question 22

Triangle Inequality Theorums:
sum of 2 sides must be

Answer 22

greater than third

Question 23

Triangle Inequality Theorums:
difference of 2 sides must be

Answer 23

less than third

Question 24

Triangle Inequality Theorums:
longest side is opposite to

Answer 24

largest angle

Question 25

Triangle Inequality Theorums:
shortest side is opposite to

Answer 25

smallest angle

Question 26

altitude

Question 27

median

Question 28

angle bisector

Question 29

alternate interior angles

Answer 29

congruent

Question 30

alternate exterior angles

Answer 30

congruent

Question 31

corresponding angles

Answer 31

congruent

Question 32

same-side interior

Answer 32

supplementary (=180 degrees)

Question 33

side splitter theorum

Answer 33

if a line parallel to a side of a triangle and interescts the other 2 sides, those sides are divded in proportion

Question 34

Triangle Congruency Theorums

Answer 34

SSS, SAS, ASA, AAS, HL (no ASS/SSA unless the right ASS (HL))

CPCTC - Corrosponding Parts of Congruent Triangles are Congruent

Question 35

Triangle Similarity Theorums

Answer 35

AA, SAS, SSS

CSSTP - Corresponding Sides of Similar Triangles are in Proportion

Question 36

Pythagorean Theorum

Answer 36

a^2 + b^2 = c^2

Question 37

Trig

Answer 37

SOHCAHTOA

sine - opp/hyp
cosine - adj/hyp
tangent - opp/adj

Question 38

Confuctions

Answer 38

sinA = cosB
sinB = cosA

A + B = 90 degrees

Question 39

rigid motions

Answer 39

preserves distance, congruency, angles, size, and shape

Question 40

reflection

Answer 40

flip

Question 41

rotation

Answer 41

turn

Question 42

translation

Answer 42

shift

Question 43

dilation

Answer 43

enlargment/reduction

creates SIMILAR, NON CONGRUENT FIGURES

not always rigid

Question 44

Rotational Symmetry Theorum

Answer 44

amount of degrees needed to carry a polygon onto itself

(360/n)