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50 Cards in this Set

  • Front
  • Back
Any horizontal line and vertical line are __________.
perpendicular
If two angles and a _____________ side of one triangle are congruent to two angles and the corresponding ______________ side of another triangle, the triangles are congruent
included/included
If two lines are parallel to the same _______, then they are parallel to each other.
line
If two angles form a linear pair, then they are ____________________.
supplementary
The sum of the measures of the angles of an n-gon is ______________________.
n-2(180)
In a plane, if two lines are perpendicular to the same ____________, then they are parallel to each other.
line
If a point is on the perpendicular bisector of a segment, then it is ___________ from the endpoints of the segment.
equidistant
If a segment joins the midpoints of two sides of a triangle, then the segment is __________to the third side, and is _______ its length.
parallel/half
If two nonvertical lines are perpendicular, the product of their slopes is ______________.
-1
The sum of the lengths of any two sides of a triangle is ___________________ the length of the third side.
more than
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are _____________.
congruent
The measure of each exterior angle of a triangle equals the sum of the measures of its two _________________.
remote interior angles
The bisectors of the angles of a triangle are concurrent at a point equidistant from the ____________
sides (makes incenter)
In a triangle, the largest angle is across from the ______________ side.
longest
In a triangle, the shortest side is across from the _____________ angle.
smallest
The sum of the measures ofthe angles of a triangle are ____________
180
If two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle, then the two triangles are ___________.
congruent
The perpendicular bisectors of the sides of a triangle are concurrent at a point ___________ from the vertices.
equidistant (makes circumcenter)
If two lines intersect, then they intersect in exactly ______________.
one point
If a triangle is equilateral, then it is also ___________________.
equiangular
If two nonvertical lines are parallel, their slopes are ______________.
the same
If two angles are congruent and supplementary, then each angle is a _______________.
right angle
The area of a region (of an irregular shape) is the __________ of its nonoverlapping parts.
sum
If two angles of a triangle are congruent, then the __________ opposite the angles are congruent.
sides
Any two vertical lines are _______________.
congruent
For any conditional p->q, the __________________ is ~q->~p.
contrapositive
If two angles and the included side of one triangle are congruent to the two angles and the included side of another triangle, then the two triangles are _________
congruent
If three points A, B, and C are collinear and B is between A and C, then AB + BC = _____________.
AC
If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are _____________.
congruent (SSS)
The lines that contain the altitudes of a triangle are _____________.
concurrent (intersect in one point)
According to the Law of Detachment, if a conditional is true and its hypothesis is true, then its _________ is true.
conclusion
The bisector of the vertex angle of an isosceles triangle is the ______________ of the base.
perpendicular bisector
The medians of a triangle are concurrent at a point that is two thirds the distance from each __________ to the midpoint of the opposite side
vertex
Vertical angles are ________________.
congruent
If a transversal intersects two parallel lines, then same side interior angles are _________.
supplementary
The sum of the measures of the exterior angles of a polygon, one at each vertex, is _________.
360
If two planes intersect, then they intersect in exactly ___________.
one line
If a transversal intersects two parallel lines, the alternate interior angles are _________.
congruent
All right angles are ________________ to each other.
congruent
If a transversal intersects two parallel lines, then corresponding angles are _________.
congruent
If a point is on the ______________, then the point is equidistant from the sides of the angle.
angle bisector
For any conditional p->q, the __________________ is q->p.
converse
According to the Law of Syllogism, if p ->q and q -> r are true statements, then ___________ is a true statement.
p -> r
For any conditional p -> q, the __________________ is ~p->~q.
inverse
If two sides of a triangle are congruent, then the _________ opposite those sides are congruent
angles
Through any two points there is (are) exactly ___________ line(s)
one
If two angles are complements of the same angle, then the two angles are _____________.
congruent
If the ___________ and a leg of one right triangle are congruent to the ____________ and leg of another right triangle, then the triangles are congruent
hypotenuse/hypotenuse
If two figures are congruent, then their areas are _______________.
congruent
A _________________ combines p->q and q->p as ________________.
biconditional/p<->q