Name the postulate: If B is between A and C, then AC = AB + BC
Segment Addition Postulate
100
Corresponding Angles Postulate: If two parallel lines are intersected by a transversal, then all pairs of corresponding angles are ________.
Congruent
100
Perpendicular Transversal Theorem: Line "a" is parallel to line "b". Line "a" is perpendicular to line "c". This means....
...line "b" is also perpendicular to line "c"
100
Name the Theorem: The sum of the angle measures of a triangle is 180 degrees
Triangle Sum Theorem
100
Name the type of congruence. "Two triangles are congruent if all three pairs of corresponding sides are congruent."
SSS (side-side-side)
200
Name the postulate: If point D is in the interior of angle ABC, then ABC = ABD + DBC
Angle Addition Postulate
200
Consecutive Interiors Theorem: If two parallel lines are intersected by a transversal, then each pair of consecutive interiors will be _______.
Supplementary
200
Perpendicular Bisector Theorem: If a point lies on the perpendicular bisector of segment "a", then that point is ___________ from the endpoints of segment "a".
Equidistant
200
Name the Theorem: If a triangle is equilateral, it is also equiangular.
Equilateral Triangle Theorem
200
Name the type of congruence. "Two triangles are congruent if two pairs of corresponding sides and the included angle are congruent."
SAS (side-angle-side)
300
Name the postulate: The area of a figure is the sum of the areas of its non overlapping parts.
Area Addition Postulate
300
Converse of Alternate Interior Angles Theorem: If two lines are intersected by a transversal in such a way that each pair of alternate interior angles are congruent, then the lines are ______.
Parallel
300
Congruent Linear Pair Theorem: If line "a" and line "b" intersect in such a way that the linear pair of angles created are congruent, then line "a" and line "b" are _________
Perpendicular
300
Pythagorean Theorem says:
c2 = a2 + b2
300
Name the congruence: "Two triangles are congruent if two pairs of their corresponding angles and their included side are congruent."
ASA (angle-side-angle)
400
If XY and YZ are adjacent arcs, then XZ = XY + YZ
Arc Addition Postulate
400
Name the theorem: If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles is also congruent.
Third Angles Theorem
400
Angle Bisector Theorem: If point A lies on the angle bisector of angle XYZ, then point A is equidistant from.....
the sides of angle XYZ
400
Triangle Midsegment Theorem: A midsegment of a triangle is parallel to a side of the triangle. The midsegment will be __________ the length of the side of the triangle it is parallel to.
Half
400
Name the type of congruence: "Two triangles are congruent if two pairs of their corresponding angles and a non included side are congruent."
AAS (angle-angle-side)
500
So, basically, any addition postulate says that in order to find the length, measure or area of any figure, you can do so by finding....
.....the sum of its parts.
500
Exterior Angles Theorem: An exterior angle of a triangle is equal to the sum of......
.....its remote interiors
500
Name the theorem: If line "p" and line "q" are both perpendicular to line "r, then line "p" and line "q" are parallel.
Converse of the Perpendicular Transversal Theorem.
500
Name the theorem: If the base angles of a triangle are congruent, then the triangle is isosceles.
Converse of Isosceles Triangle Theorem
500
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent