Question

prove HL Theorem without angle measure.

Answer #1

Prove the HL Theorem without angle measures
or Pythagorean theorem. cannot
include HL theorem in proof

Prove the HL (hypotenuse-leg) congruence property for right
triangles as a theorem in Absolute Geometry.

Prove the angle subtraction theorem

Using the hyperbolic angle sum theorem, prove theorem 1. theorem
1 (the exterior angle inequality theorem): An exterior angle of a
triangle is greater than each of the remote/nonadjacent interior
angles of the triangle. hyperbolic angle sum theorem: The sum of
the measures of the angles of a hyperbolic triangle is less than
180°. Please give an original answer, the explanations already
posted on Chegg do not answer this question or do not answer in a
language that I understand...

1. Prove Thales’ Theorem: In a circle, if ∠ABC is an
inscribed angle and AC is a diameter, then
∠ABC is a right angle.

Prove the Vertical Angle Theorem. Please state why and construct
a proof!

Assuming Playfair’s axiom. Prove the Alternate interior angle
theorem and that the sum of the interior angles if a triangle is
180. Use these results to solve problems. Please show your work and
explanations.

Without using the Fundamental Theorem of Arithmetic, use strong
induction to prove that for all positive integers n with n ≥ 2, n
has a prime factor.

Prove the Mean Value Theorem using Rolle's Theorem

Prove the mean value theorem

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