Geometry: Theorems And Constructions 〈2027〉

: Flat surfaces extending infinitely in all directions.

When two lines intersect, the angles opposite each other are always equal. 4. Congruence Theorems To prove two triangles are identical, you can use: : Side-Side-Side SAS : Side-Angle-Side ASA : Angle-Side-Angle Geometric Constructions Geometry: Theorems and Constructions

: Finding the exact midpoint of a line. Angle Bisector : Dividing an angle into two equal parts. Perpendicular Lines : Creating a 90∘90 raised to the composed with power intersection. : Flat surfaces extending infinitely in all directions

: Used only to connect two existing points. Coordinate vs. Euclidean Geometry Congruence Theorems To prove two triangles are identical,

The interior angles of any triangle always add up to exactly 180∘180 raised to the composed with power 3. Vertical Angles Theorem

: Drawing a line through a point that never touches another line. Construction Rules No Measuring : You cannot use the numbers on a ruler.

: Statements accepted as true without proof (e.g., a straight line can be drawn between any two points). Essential Theorems