two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
same shape but not exactly the same size
two figures or objects are if they have the same shape and size
congruent
a line segment perpendicular to and passing through the midpoint of (left figure)
formed by a transversal intersecting two parallel lines .
a pair of angles on one side of a transversal line, and on the inside of the two lines being intersected.
triangles that have the same size and shape.
the tests for congruence and similarity involve comparing what ?
corresponding sides
a primitive notion that models an exact location in the space is a what?
one of a pair of angles with different vertices and on opposite sides of a transversal at its intersection with two other lines:
Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles.
a pair of adjacent angles formed when two lines intersect.
the action or condition of becoming or being made wider, larger, or more open.
two ratios that are set equal to each other
figure formed by two rays,
ancient mathematicians to represent straight objects with negligible width and depth.
the points on either end of a line segment or on one end of a ray.
a quotient a/b, where b 0.
coplanar straight lines that do not intersect at any point.
parallel Line
is a point where two or more lines cross each other
the division of something into two equal or congruent parts