Geometric Proof Reasons

If M is the midpoint of AB, then AM = MB. Which of the following "reasons" fits for the statement?

• Addition POE

• Def. of Midpoint

• Reflexive POE

• Symmetric

If <1 and <2 are complementary, then m<1 + m<2 = 90

• Addition POE
• Subtraction POE
• Def of right angle
• Def of Complementary Angles

Tags

CCSS.HSG.CO.C.9

AB = AB

• Reflexive POE
• Transitive POE
• Symmetric POE
• Distributive POE

Which is the correct reason for statement 2 in the proof?

• Given
• Transitive Property
• Definition of Congruent Angles
• Vertical Angles are congruent.

Tags

CCSS.HSG.CO.C.9

What is the relationship of ∠1 and ∠5?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Vertical Angles

Tags

CCSS.HSG.CO.C.9

If it is given that p ∥ q, what are ALL correct statements that can be made as a result of knowing the lines are parallel?

• ∠1 ≅ ∠3 by the corresponding angles postulate

• ∠2 and ∠3 are supplementary by the linear pairs postulate

• m∠2 + m∠3 = 180° by the linear pairs postulate

• ∠1 ≅ ∠2 by the alternate exterior angles theorem

Tags

CCSS.HSG.CO.C.9

Solve for the value of x that would prove the lines are parallel.

• x = 8

  Converse Corresponding Angles

• x = 4

  Converse Corresponding Angles

• x = 4.8

  Converse Consecutive Int. Angles

• x = 5.6

  Converse Consecutive Int. Angles

Tags

CCSS.HSG.CO.C.9

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

• Definition of Supplementary Angles

• Angle Addition Postulate

• Definition of Right Angle

• Definition of Complementary Angles

Tags

CCSS.HSG.CO.A.1

If ∠CAT is a right angle, then m∠CAT = 90° because...

• Definition of Right Angle

• Definition of Congruent Angles

• Angle Addition Postulate

• Segment Addition Postulate

Tags

CCSS.HSG.CO.A.1

If DB bisects ∠ABC, then ∠ABD = ∠CBD because...

• Definition of Congruent Angles

• Definition of Angle Bisector

• Angle Addition Postulate

• Definition of Right Angle