Download Unit 1 Conjectures

Unit 1 Conjectures
LT 1.1 – I can solve problems and justify my results using geometric terms, notations,
markings, and constructions.
Perpendicular Bisector Conjecture: If a point is on the perpendicular bisector of a segment,
then it is ___________________ from the endpoints.
Converse of the Perpendicular Bisector Conjecture: If a point is equidistant from the
endpoints of a segment, then it is on the _______________________________ of the segment.
Shortest Distance Conjecture: The shortest distance from a point to a line is measured along
the _______________________________ from the point to the line.
LT 1.2 – I can solve problems and justify my results using parallel and perpendicular line
properties, including the properties of angles.
Linear Pair Conjecture: If two angles form a linear pair, then
_____________________________________________________________.
Vertical Angles Conjecture: If two angles are vertical angles, then
______________________________________________________.
Parallel Lines Conjecture: If two parallel lines are cut by a transversal, then corresponding
angles are ___________, alternate interior angles are ___________, and alternate exterior
angles are _________________.
Converse of the Parallel Lines Conjecture: If two lines are cut by a transversal to form pairs
of congruent corresponding angles, congruent alternate interior angles, or congruent alternate
exterior angles, then the lines are ________________.
Angle Bisector Conjecture: If a point is on the bisector of an angle, then it is
__________________ from the sides of the angle.
LT 1.3 – I can use coordinate geometry and linear algebra skills to represent and analyze
points and lines.
Coordinate Midpoint Property:
If (𝑥! , 𝑦! ) and (𝑥! , 𝑦! ) are the coordinates of the endpoints of a segment, then the coordinates
of the midpoint are
( , )
Slope:
m=
Parallel Slope Property: On a coordinate plane, two distinct lines are parallel if and only if
their slopes are _________________.
Perpendicular Slope Property: On a coordinate plane, two non-vertical lines are
perpendicular if and only if their slopes are
______________________________________________.