Show that AB must be parallel to CD

Show that AB must be parallel to CD. See attached file for full problem description.

Pappus Theorem

State the dual of Pappus' Theorem. Give an illustration.

This problem is relevant to Geometry, in which we have asked to find the Maximum area that a goat can graze outside a rectangular barn, when it is tied with a lead to the barn and outside of it.

If a goat is tied on a 50 foot lead to a corner on the outside of a rectangular barn and the barn is 20 feet by 20 feet and the goat can not get into the barn nor is the barn a grazing area, what is the maximum grazing area and show how the maximum grazing area was determined. A man has a barn that is 20 feet by 10 feet, he t ...continues

Geometry Problems

1. Show the necessary steps for finding the length of each side of a regular hexagon if opposite sides from midpoint to midpoint are 18 inches apart. 2. Without cutting or destroying a football, how would you find the area and volume of a football. Include any necessary formulas and measurements to implement your idea.

Word Problem

A 30 feet ladder is used by fire fighters is a safe only when it leans against a building at an angle of 60 degrees or less to the ground. What is the maximum height on a building the ladder can reach? Round to the nearest hundredth.

Geometry Problems: Solve the proofs in question 7 and question 8.

Geometry Problems: Solve the proofs in question 7 and question 8. Number 7: We are given that AE = DB, FG = CG, and angle FGE = angle CGD, and we want to prove that angle A = angle B. (Note: AE = DB not AE = BE.) Number 8: We are given that DB bisects angle ADC and angle 3 = angle 4, and we want to prove tha ...continues

Triangle Side Calculations

I have a scalene triangle. One side is 241 long, the other is 232 feet. I need to know what the third side would be.

Geometry Proof

Geometry Proof. I need only #10.

Geometry proof

I can't get this proof. I think EF is an angle bisector, but I don't know how to prove it.

Area and volume of an isosceles triangle

If I have a right prism with the prism height being 8 and the prism base being an isosceles triangle with a base of 3 (sides of 6) what is the lateral area and the volume of the prism, also what is the triangle's height by using the Pythagorean theorem.