Question

Which of the following tools did the Greeks limit themselves to in their formal geometric constructions? Check all that apply.

A. All right angles are equal.
B. All right triangles are equal.
C. A straight line segment can be drawn any two points.
D. Any straight line segment can be extended indefinitely.

Answer 1

I would select A & B because I recall triangles and pythagorean theorem having great significance there leading me to believe that such angles and right triangles would be of Greek. I cannot say for "C" and "D". Let me know if you have any further questions.

Answer 2

Greek mathematician were mainly recognized for their work in

1. Angles

2.Circles

3. Triangles and Right Triangle

4. Pythagorean theorem and their use in Quadratic Polynomial

So, if Greeks have studied about,Circles,Triangle, right triangle , They must be aware of the term Straight line ,line segments, Right Angle.

Option A: All right angles are equal.

Option C: A straight line segment can be drawn any two points.

Option D. Any straight line segment can be extended indefinitely.