Geometry Theorems and Postulates

What property states that something is congruent to itself?

• Symmetry Property

• Congruence Property

• Reflexive Property

Which of the following theorems would verify that ∠COB & ∠AOD are congruent?

• Straight Angle Theorem

• Congruent Angle Theorem

• Vertical Angles Theorem

• Linear Pair Theorem

Alternate Exterior Angles Theorem (3-3)

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are congruent.

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are supplementary.

• If alternate exterior angles are congruent, then a pair of parallel lines is cut by a traversal.

• If alternate exterior angles are supplementary, then a pair of parallel lines is cut by a traversal.

Postulates are ​ (a)   and theorems are​ (b)   .

• something accepted as true without being proven

• statements that can be proven

In the Alternate Interior Angle Theorem (3-1), for alternate interior angles to be congruent...

• The transversal has to cut through two lines

• Alternate Interior Angles are always congruent

• The transversal has to cut through two parallel lines

• All lines have to be parallel

Which theorem explains why the two lines are parallel?

• Alt. Exterior Angles Thm (3-3)

• Same Side Int. Angles Post (3-1)

• Alt. Exterior Angles Converse (Thm 3-7)

• Same Side Int. Angles Converse (Thm 3-6)

Which theorem explains why the two lines are parallel?

• Corresponding Angles Converse (Thm 3-4)

• Alt. Interior Angles Converse (Thm 3-5)

• Corresponding Angle Thm (3-2)

• Alt. Interior Angles Thm (3-1)

Corresponding Angle Converse Theorem states that if two line and a transversal form corresponding angles that are congruent, then the lines are ___.

The ___ ___ postulate states if three points are collinear then their segments add up to the total length of the line segment. I.E. AB + BC = AC

The ___ ___ postulate states that the measurements of the interior angles of the whole angle can be added together to find the total measurement.