Basic Definitions and Postulates

If x = y and y = z, then x = z

• Transitive Property

• Symmetric Property

• Reflexive Property

• Transveral Property

Tags

CCSS.HSG.SRT.B.5

The sum of the interior angles of a triangle is 180 degrees

• Triangle Angle Sum Theorem

• Interior Angle Theorem

• Exterior Angle Theorem

• Duh, everyone knows that

Tags

CCSS.8.G.A.5

If AB=50, which statement proves that AM=25?

• Definition of Congruent

• Definition of Midpoint

• Definition of Segment

Tags

CCSS.8.G.A.2

 $m\angle a\ +\ m\angle b\ =m\angle d$  
What theorem satisfies this statement?

• Remote Interior Angle Theorem

• Corresponding Angle Theorem

• Exterior Angle Theorem

• Interior Angle Theorem

Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.

• 8
• 16
• 41
• 82

Tags

CCSS.HSG.CO.C.10

Which Postulate/Definition would you use to find HG?

• Partition Postulate

• Addition Property

• Definition of Segment Bisector

• Definition of Angle Bisector

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

• Straight Angle Theorem

• Congruent Compliments Theorem

• Vertical Angles Theorem

• Linear Pair Theorem

Tags

CCSS.7.G.B.5

Given that AM=MB, what definition allows us to say that the respective segments are congruent?

• Definition of Congruent

• Definition of Midpoint

• Definition of Segment

Tags

CCSS.HSG.SRT.B.4

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

• Definition of Midpoint

• Definition of Angle Bisector

• Definition of Congruent

• Definition of Segment Bisector

Tags

CCSS.HSG.CO.C.9

Given that ∠ABD ≅∠CBE, what definition allows you to conclude that m∠ABD=m∠CBE?

• Definition of Angle Bisector

• Definition of Segment Bisector

• Definition of Midpoint

• Definition of Congruent

Tags

CCSS.7.G.B.5