# Geometry-A Final

### 40 terms by lw323

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### Parallelogram

quadrilateral with both pairs of opposite sides congruent and parallel, opposite angles congruent, diagonals bisect each other,

### Rhombus

parallelogram w/ 4 congruent sides, diagonals bisect angles, diagonal perpendicular

### Rectangle

parallelogram w/ 4 right angles, diagonals congruent

### Square

rhombus and rectangle therefore 4 congruent sides and 4 right angles, congruent perpendicular diagonals, diagonals bisect angles

### Kite

quadrilateral, two pairs of adjacent sides congruent,, no opposite sides congruent, side angles congruent, diagonals are perpendicular, short one bisected, angles bisected

### Trapezoid

quadrilateral w only 1 set of parallel sides

### Isosceles Trapezoid

nonparallel sides congruent, adjacent angles congruent, diagonals congruent

### 3+ parallel lines

congruent segments of transversal

AA~, SAS~ SSS~

### Geometric mean

a/x=x/b any 2 positive numbers

### altitude of a right triangle

makes 2 similar triagnles

### side splitter thm

if a line is parallel to one side of a triangle and intersects with the other two sides then it divides those sides proportionally

### Angle bisector thm

if a ray bisects an angle of a triangle then it divides the oposide side into town segmeents that are proportional to the other two sides

a^2+b^2= c^2

### 45-45-90

hypotenuse is sqrt2(leg)

x, x(sqrt3), 2x

### Vector

magnitude and direction (degree, Direction, distance)

b(h)

1/2bh

1/2h(b1+b2)

1/2d1(d2)

1/2ap

1/2bcsineA

### Perimeters and Areas of Similar Figures

P=a/b A=a^2/b^2 (RATIOS)

### Measure of Central Angle

360/n

center to circumference

(pi)r^2

ph+2B

### Surface Area Cylinder

2(pi)rh+ 2(pi)r^2

1/2pl+B

(pi)rL+(pi)r^2

V=Bh

(pi)r^2h

1/3Bh

1/3(pi)r^2h

### Tangent

line that intersects at only one point on circle

### Chord

segment with endpoints on circle

### Secant

intersects at 2 places

### coordinate plane circles

(x-h)^2+(y-k)^2=r^2

### Distance formula

sqrt[(x2-x1)^2+(y2-y1)^2]

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