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Natasha G.

T/F: for every convex quad, sum of angles is <360

true

T/F: summit angles of saccheri quad are acute

true

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T/F: fourth angle in Lambert quad is acute

True

T/F: there exists a rectangle

False

Two lines m,l admit a common perpendicular if

there exists a line n ST n is perpendicular to m and n is perpendicular to l

Two rays PD and AB are called limiting parallel rays if

1. B,D are on the same side of PA

2. the intersection of PD and AB=empty set

3. every ray btwn PD and PA intersects AB

Endpoint independence of limiting parallel rays

If AB is a ray and P,Q,D points ST Q*P*D, then PD and AB are limiting parallel rays iff QD and AB are limiting parallel rays

Existence and Uniqueness of limiting parallel rays

If AB is a ray and P a point not on line AB, then there exists a ray PD ST PD and AB are limiting parallel rays

Two rays AB and CD are equivalent rays if

AB is a subset of CD or if CD is a subset of AB

Transitivity of limiting parallelism

If AB, CD, EF are 3 rays ST AB and CD are limiting parallel rays and CD and EF are limiting parallel rays, then either AB and EF are limiting parallel rays or AB and EF are equivalent rays

T/F: any statement equivalent to EPP is false in hyperbolic geometry

True

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