Intro to Geometric Proofs Flashcards
2- Column Proof
consists of 5 parts: the given, the proposition, the statement column, the reason column, and the diagram (if one is given)
Line
straight, no thickness, extends infinitely in both directions
Segment
part of a line that connects 2 points, has definite endpoints
Ray
a part of a line with a starting point but no ending point
Angle
the figure formed by 2 rays extending from the same point
Congruent
same shape and size, 2 shapes are congruent if you can turn/flip/slide one so it fits exactly on the other
Verticle Angles
the angles opposite each other when two lines cross, they’re always equal
Adjacent Angles
common side and common vertex but don’t overlap
Complementary Angles
add up to 90 degrees, don’t have to be next to each other
Supplementary Angles
add up to 180 degrees, don’t have to be next to each other
Linear Pair
2 angles that are adjacent and supplementary
Reflexive Property of Congruence
shows that any geometric figure is congruent to itself
Symmetric Property of Congruence
if A=B, then B=A
Segment Addition Postulate
if you’re given 2 points on a line segment, a 3rd point can lie on the line segment if the distances between the 2 points are AB+BC=AC
Segment Bisector
a line, ray, or segment which cuts another line segment into 2 equal parts
Midpoint
the middle of; the point halfway along
Angle-Addition Postulate
if a point lies on the interior of an angle, that angle is the sum of 2 smaller angles with legs that go through the given point
Perpendicular Lines
a line that divides a line segment into 2 equal parts that make right angles; each point on the perpendicular bisector is equidistant from the line segment’s endpoints
Angle Bisector
bisector of an angle consists of all points that are equidistant from the sides of the angle
Verticle angles are _______
equal
Only if the 2 lines the transversal goes through are ______, corresponding angles are equal.
parallel
What angle pairs are equal if the 2 lines the transversal goes through are equal?
corresponding, alternate interior, and alternate exterior
What angle pairs are supplementary if the 2 lines the transversal goes through are equal
same side interior and same side exterior
What is the symbol for parallel lines?
little triangles on the lines in the corresponding location
