# Geom Exam

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### parallel

a parallelogram is a quadrilateral w/ both pairs of opposite sides ______

### congruent

opposite sides and angles of a parallelogram r

### bisect each other

diagonals of a parallelogram

### both opposite sides r parallel, both opposite sides r congruent, one opposite sides is congruent and parallel, both opposite angles r congruent, or diagonals bisect each other

list 5 ways to prove quadrilateral is a parallelogram: bosrp bosrc oosicap boarc o dbeo

### equidistant

if 2 lines r parallel, all points on 1 line r _____ from the other line

### congruent

if 3 parallel lines cut off _____ segments on 1 transversal, then they cut off _____ segments on every transversal

### midpoint, parallel, midpoint

a line tht contains the _____ of one side of a triangle and is _____ to another side passes thru the ______ of the third side

### parallel to the third side and half as long as the third side

if a segment joins the midpoints of 2 sides of a triangle, the segment is

### Rectangle

the diagonals of a ______ are congruent

### rhombus

the diagonals of a _____ are perpendicular

### rhombus

each diagonal of a _______ bisects 2 angles of the ______

### equidistant

the midpoint of the hypotenuse of a right triangle is _______ from the 3 vertices

### rectangle

if an angle of a parallelogram is a right angle, then the parallelogram is a

### rhombus

if 2 consecutive sides of a parallelogram r congruent, the parallelogram is a

### P, Rec, Rhom, S

P/Rec/Rhom/S: Opposite sides r parallel

### P, Rec, Rhom, S

P/Rec/Rhom/S: Opposite sides are congruent

### P, Rec, Rhom, S

P/Rec/Rhom/S: Opposite angles are congruent

### P, Rec, Rhom, S

P/Rec/Rhom/S: Diagonals form 2 congruent triangles

### P, Rec, Rhom, S

P/Rec/Rhom/S: Diagonals bisect each other

### Rec, S

P/Rec/Rhom/S:Diagonals are congruent

### Rhom, S

P/Rec/Rhom/S:Diagonals r perpendicular

### Rec, S

P/Rec/Rhom/S:All angles r rite angles

### Rhom, S

P/Rec/Rhom/S:All sides r congruent

### congruent

base angles of an isosceles trapezoid r ______

### parallel to bases, has half a length equal to the average of the base lengths

A Median of a trapezoid is:

### greater

the measure of an exterior angle of a triangle is ______ than the measure of either remote interior angle

### If I do not go outside then it is not sunny

Contrapositive of: If it is sunny i will go outside

### If it is not sunny I will not go outside

Inverse of:If it is sunny i will go outside

### If I go outside, then it is sunny

Converse of:If it is sunny i will go outside

### SAS and SSS

List the 2 ways to prove a triangle side or angle is larger

### perpendicular

a ______ segment from a point to a line/plane is the shortest segment from a point to a line/plane

### greater

the sum of the lengths of any 2 sides of a triangle is _____ then the length of the third side

### longer

the angle opposite the ______ side is larger

### shorter

the angle opposite the ______ side is smaller

### ratio

the ____ of one number to another is the quotient when the first number is divided by the second; its like a fraction

### multiply means and extremes, switch means or extremes, add denomonator to numerator on both sides

what are some properties of proportions? mmae, smoe, adtnobs

### similar

2 polygons r similar if their vertices can b paired so tht corresponding angles r congruent and corresponding sides r in proportion-same ratio

### AA, SAS, SSS

3 similarity theorems

### proportionally

if a line parallel to 1 side of a triangle intersects the other 2 sides, then it divides those sides ________

### proportionally

if 3 parallel lines intersect 2 transversals then they divide the transversals ________

### segments proportional to the other 2 sides

if a ray bisects an angle of a triangle, then it divides the opposite side into: spttots

### similar to the original triangle and to each other

if the altitude is drawn to the hypotenuse of the right triangle, then the two triangles formed are: sttotateo

### x, x, x times the square root of 2

whats the measurements of a 45-45-90 triangle?

### x, 2x, x times the square root of 3

whats the measurements of a 30-60-90 triangle

### chord

segment whose endpoints lie on a circle

### secant

line tht contains a chord

### diameter

chord tht contains the center of a circle

### tangent

line tht intersects circle in exactly 1 point

### central angles

in the same circle or congruent circles 2 minor arcs r congruent if and only if their _____ ______ are congruent

### Congruent arcs have congruent chords

in the same circle or congruent circles, congruent chords have congruent arcs, and ___ ___ ___ ___ ___

### bisects

diameter thts perpendicular to a chord ____ the chord at its arc

### congruent

in same circle or congruent circles, chords equally distant from the center are _____

### 1/2

the measure of an inscribed angle is ____ the measure of the intercepted arc

### congruent

if 2 inscribed angles intercept the same arc, then the angles r

### right

wht kind of angle is an angle inscribed in a semicircle?

### supplementary

if a quadrilateral is inscribed in a circle, then its opposite angles r

### 1/2

measure of angle formed by chord and tangent is equal to ____ the measure of the intercepted arc

### 1/2 the sum

the measure of an angle formed by 2 chords tht intersect inside a circle is equal to ____ __ ___ of the measures of the intercepted arcs

### secants, tangents, secant and a tangent

measure of an angle formed by two __, 2 ___, or a __ __ __ __ drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs

### difference

measure of an angle formed by two secants 2 tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the ______ of the measures of the intercepted arcs

Example: