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Geometry ALWAYS/SOMETIMES/NEVER
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Terms in this set (33)
A square is a rhombus.
always
The diagonals of a parallelogram bisect the angles of the parallelogram.
sometimes
A quadrilateral with one pair of sides congruent and one pair of sides parallel is a parallelogram.
sometimes
The diagonals of a rhombus are congruent.
sometimes
A rectangle has consecutive congruent sides.
sometimes
A rectangle has perpendicular diagonals.
sometimes
The diagonals of a rhombus bisect each other.
always
The diagonals of a parallelogram are perpendicular bisectors of each other.
sometimes
Perpendicular lines lie in the same plane.
always
Two lines are perpendicular if and only if they form congruent adjacent angles.
always
If a pair of vertical angles are supplementary, then lines forming the angles are perpendicular.
sometimes
If there are two points, then there exists exactly one line.
always
A right triangles is also equilateral.
never
If a triangle has an obtuse angle, then its orthocenter is outside the triangle.
always
In a rectangle, the perpendicular bisectors of the two diagonals are perpendicular.
always
If an equilateral triangle shares 2 sides with a parallelogram, then it is a rhombus.
always
The base of an isosceles triangle is greater than the sum of its two legs.
never
The exterior angle of a regular polygon is less than an interior angle.
sometimes
If two angles are supplementary to the same angle, the they are supplementary to each other.
sometimes
If parallel lines are cut by a transversal, then alternate interior angles are not congruent.
never
Passing through a point not on line l, there exists exactly one line perpendicular to line l.
always
Passing through a point not on line l, there exists exactly one line parallel to line l.
always
The converse of a theorem is true.
sometimes
A theorem can be proven.
always
Two intersecting lines are coplanar.
always
Supplementary angles form a linear pair.
sometimes
If line 1 is in plane X and line 2 is in plane Y and plane X is parallel to plane Y, then line 1 is parallel to line 2.
sometimes
If points M and N are on line PQ and line PM is congruent to line NQ, then line PN is congruent to line MQ
always
A rhombus is a square.
sometimes
A parallelogram is a rectangle.
sometimes
A rectangle is a parallelogram.
always
A trapezoid is a quadrilateral.
always
A quadrilateral is a trapezoid.
sometimes
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