Proving Angles and Congruent

Which is the correct reason for statement 1 in the proof?

• Definition of Congruent Angles
• Substitution
• Transitive Property
• Given

What reason do we have to use to put the statement that AB = AB in our proof?

• Reflexive Property of Equality
• Transitive Property of Equality
• Symmetric Property of Equality
• Distributive Property of Equality

If <M = <L then <L = <M

• Transitive Property of Equality
• Substitution Property of Equality
• Symmetric Property of Equality
• Reflexive Property of Equality

Identify the  missing statement or reason

• Reflexive Property
• Definition of Midpoint
• Given
• Vertical Angles Theorem

What is the "reason" for step 2 of the proof?

• Reflexive property
• They are congruent
• Congruent through the Side Angle Side Postulate
• Given

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

• Definition of Supplementary Angles
• Angle Addition Postulate
• Definition of Right Angle
• Definition of Complementary Angles

If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.

• Vertical Angles Theorem
• Definition of Congruent Angles
• Angle Addition Postulate
• Batman

Which is given in the diagram?

• BD ≅ BD
• AB ≅ BC
• D is the midpoint of AC
• ΔABD ≅ ΔCBD

Which is NOT given in the diagram?

• AC ≅ EC
• BC ≅ DC
• AB ≅ ED
• All of these are given

Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?

• m∠A + m∠B = 90
• A and B are both acute angles
• m∠A + m∠B = 180
• A and B are both obtuse angles