## What are the 4 theorems?

Chapter 4 Angles and Perpendiculars Theorem 4-1 Congruence of angles is reflexive, symmetric, and transitive. Theorem 4-2 If two angles are supplementary to then same angle, the they are congruent. other. Theorem 4-4 If two angles are complementary to the same angle, then they are congruent to each other.

### What are the 8 theorems?

What are the 8 circle theorems?

• Circle Theorem 1 – Angle at the Centre.
• Circle Theorem 2 – Angles in a Semicircle.
• Circle Theorem 3 – Angles in the Same Segment.
• Circle Theorem 4 – Cyclic Quadrilateral.
• Circle Theorem 5 – Radius to a Tangent.
• Circle Theorem 6 – Tangents from a Point to a Circle.

What are the 6 theorems in geometry?

23 Cards in this Set

Polygon Angle- Sum Theorem (Theorem 6-1) The sum of the measure of the interior angles of an n-gon is (n-2)180
Theorem 6-6 If a quadrilateral is a parallelogram, then its what bisect each other? diagonals If a quadrilateral is a parallelogram, then its diagonals bisect each other.

What is the second circle theorem?

“If two angles subtended at the center by two chords are equal, then the chords are of equal length.”

## What are the different postulates in geometry?

A straight line segment may be drawn from any given point to any other.

• A straight line may be extended to any finite length.
• A circle may be described with any given point as its center and any distance as its radius.
• All right angles are congruent.
• ### What are all the postulates?

Things which are equal to the same thing are equal to one another.

• If equals are added to equals,the wholes are equal.
• If equals are subtracted from equals,the remainders are equal.
• Things which coincide with one another are equal to one another.
• The whole is greater than the part.
• Things which are double of the same things are equal to one another.
• What are the properties of geometry?

Math Study Strategies Learning Center The Reflexive Property a =a The Symmetric Property If a=b, then b=a The Transitive Property If a=b and b=c, then a=c The Substitution Property If a=b, then a can be substituted for b in any equation The Addition and Subtraction Properties If a=b, then a+c = b+c and a-c = b-c

What is the interior angle theorem?

What is the interior angle theorem of a triangle? In geometry, the interior angles of a triangle are the angles that are formed inside a triangle. Interior angles have the following properties: The sum of interior angles is 180 degrees (Triangle Angle Sum Theorem). All interior angles of a triangle are more than 0° but less than 180°.