Chapter 4 Geometry Flashcards 4.1 - 4.3

Front 1

congruent polygons

Back 1

have congruent corresponding parts

Front 2

congruence statments

Back 2

[Triangle] ABC [is congruent to] [Triangle] DEF

Front 3

congruent triangles

Back 3

2 triangles are congruent if and only if their corresponding parts are congruent (CPCTC)

Front 4

THIRD ANGLE THEOREM

Back 4

if 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the third angles are congruent.

Front 5

SSS Postulate

Back 5

if 3 sides of a triangle are congruent to the 3 sides of another triangle, then the two triangles are congruent

Front 6

SAS Postulate

Back 6

if 2 sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent

Front 7

ASA Postulate

Back 7

If 2 angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent

Front 8

AAS THEOREM

Back 8

If two angles and a nonincluded side of one trianlge are congruent to two angles and the corresponding nonincluded side of another trianlge, then the triangles are congruent.

Front 9

polygon

Back 9

a polygon is a closed plane figure with at least 3 sides that are segments such that: -the sides intersect exactly 2 other sides only at their endpoint -no adjacent sides are collinear

Front 10

diagonal of polygons

Back 10

a segment that is drawn from 2 vertices that are not adjacent

Front 11

convex polygon

Back 11

has no diagonal with points outside the polygon

Front 12

concave polygon

Back 12

has at least 1 diagonal with the points outside the polygon

Front 13

equilateral polygon

Back 13

all sides are congruent

Front 14

equiangular polygon

Back 14

has all congruent angles

Front 15

regular polygon

Back 15

both equilateral and equiangular

Front 16

POLYGON ANGLE SUM THEOREM (PAST)

Back 16

The sum of the measure of the angles of a convex n-gon is:
*** s = 180(n-2)

Front 17

POLYGON EXTERIOR ANGLE THEOREM (PEAST)

Back 17

The sum of the measures of the exterior angles of a convex polygon, one at a vertex, equals 360

Front 18

standard form of a linear equation

Back 18

a linear equation can be written in the form Ax + By = C (standard form) where A, B, and C are real numbers and A & B do not equal 0; slope is -A/B if in standard form

Front 19

slope intercept form

Back 19

a linear equation written in the form y = mx + b

Front 20

point slope form

Back 20

y - y1 = m (x - x1) where x1 and y1 are the coordinates of a point on the line and m is the slope

Front 21

SPECIAL CASE:
Horizontal Lines

Back 21

have an equation in the form y = b and a slope of 0

Front 22

SPECIAL CASE:
Vertical Lines

Back 22

have an equation in the form x = a and an undefined slope

Front 23

slope

Back 23

The slope of a line is the ratio of its vertical rise to its horizontal run. The slope m of a line containing 2 points with coordinates (x,y) and (x1, y1) is given by the formula:
m = y2-y1/x2-x1

Front 24

Slopes of a Parallel Lines

Back 24

2 non vertical lines have the same slope if and only if they are parallel

Front 25

Slopes of Perpendicular Lines

Back 25

2 nonvertical lines are perpendicular if and only i the product of their slopes equals -1; any horizontal line and vertical line are perpendicular