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