Geometric Theorems and Proofs

What is the justification?

• Symmetric Prop.
• Angle addition postulate
• Reflexive Prop
• Transitive Prop.

What is the justification that the measure of angle DAE plus the measure of angle EAF = 90 degrees?

• definition of supplementary angles
• definition of complementary angles
• Vertical Angles Theorem
• definition of bisect

What is the justification?

• Transitive Property
• Substitution Property
• Reflexive Property
• Symmetric Property

What allows to say that angle IKH is congruent to angle GKJ?

• definition of vertical angles
• Linear Pairs Theorem
• definition of a straight angle
• Vertical angles theorem

What is the justification?

• reflexive property
• definition of bisect
• definition of a midpoint
• substitution property

What is the justification?

• Reflexive Prop.
• Symmetric Prop.
• Transitive Prop.
• Substitution

What is the justification that segment GI is congruent to segment IH?

• segment addition postulate
• definition of perpendicular
• definition of midpoint
• definition of a segment

What would allow you to write this equation? 

• definition of complementary angles
• definition of supplementary angles
• Transitive Property
• Symmetric Property

What is the justification that the measure of angle DAE plus the measure of angle EAF equals the measure of angle DAF?

• definition of a right angle
• definition of complementary angles
• definition of an angle bisector
• segment addition postulate

An angle formed by opposite rays that measures 180 degrees   

• right angle
• straight ange
• acute angle
• obtuse angle