## Glossary of Chapter 4 Geometry Flashcards 4.1 - 4.3

### Deck Info

#### Description

#### Tags

#### Other Decks By This User

- congruent polygons
- have congruent corresponding parts

- congruence statments
- [Triangle] ABC [is congruent to] [Triangle] DEF

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

- THIRD ANGLE THEOREM
- if 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the third angles are congruent.

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

- SAS Postulate
- 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

- ASA Postulate
- 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

- AAS THEOREM
- 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.

- polygon
- 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

- diagonal of polygons
- a segment that is drawn from 2 vertices that are not adjacent

- convex polygon
- has no diagonal with points outside the polygon

- concave polygon
- has at least 1 diagonal with the points outside the polygon

- equilateral polygon
- all sides are congruent

- equiangular polygon
- has all congruent angles

- regular polygon
- both equilateral and equiangular

- POLYGON ANGLE SUM THEOREM (PAST)
- The sum of the measure of the angles of a convex n-gon is:

*** s = 180(n-2)

- POLYGON EXTERIOR ANGLE THEOREM (PEAST)
- The sum of the measures of the exterior angles of a convex polygon, one at a vertex, equals 360

- standard form of a linear equation
- 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

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

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

- SPECIAL CASE:

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

- SPECIAL CASE:

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

- slope
- 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

- Slopes of a Parallel Lines
- 2 non vertical lines have the same slope if and only if they are parallel

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