# What are the 4 theorems in geometry?

## What are the 4 theorems in geometry?

Angle Theorems

• Congruent Supplements Theorem. If two angles are supplements to the same angle or of congruent angles, then the two angles are congruent.
• Right Angles Theorem. If two angles are both supplement and congruent then they are right angles.
• Same-Side Interior Angles Theorem.
• Vertical Angles Theorem.

## What is a theorem in geometry definition?

theorem, in mathematics and logic, a proposition or statement that is demonstrated. In geometry, a proposition is commonly considered as a problem (a construction to be effected) or a theorem (a statement to be proved).

What are the 3 theorems in geometry?

If two nonvertical lines are parallel, their slopes are equal. If the slopes of two distinct nonvertical lines are equal, the lines are parallel. Any two vertical lines are parallel. If two nonvertical lines are perpendicular, the product of their slopes is -1.

What is theorem 33 in geometry?

PROPOSITION 33. THEOREM. The straight lines which join the extremities on the same side of two equal and parallel straight lines, are themselves equal and parallel.

### How is theorem used?

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

### How are theorem formed?

In mathematics, a theorem is a statement that has been proved, or can be proved. The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems.

What is the 34 Theorem?

PROPOSITION 34. THEOREM. In a parallelogram the opposite sides and angles are equal, and the diagonal bisects the area.

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