Determine which of the following statements are true in neutral Geometry

A quad that is both saccherri and lambert is a rectangle

False Euclidean

If a line is perpendicular to one of two parallel lines then it is perpendicular to the other

False Euclidean

The diagonals of a rectangle are congruent

True

The summit and the base of a saccheri quad are parallel

True

A rectangle exist

false Euclidean

A saccheri quad exist

true

If the alternate interior angle theorem is true then the converse of the alternate interior angle theorem is true

False

If two lines are intersected by a transversal such that the alternate interior angles formed are congruent then the lines must share a common perpendicular

False

Parallelograms have both pairs of opposite sides congruent

False Euclidean

Similar but non congruent triangles exist

False Euclidean

The converse of the alternate interior angle theorem

False Euclidean

If a rectangle exist then every saccheri quad is a rectangle

True

The alternate Interior Angle theorem

True

The measure of the side included between two right angles in a lambert quad is less than or equal to the measure of the side opposite it

True

If the Euclidean Parallel postulate is true then when two parallel lines are intersected by a transversal the pairs of interior angles on the same side of the transversal are supplementary

True Neutral Statement about Euclidean