Proofs- Introduction

What is the justification (reason)?

• Reflexive Property
• Symmetric Property
• Transitive Property
• Substitution

Tags

CCSS.HSG.SRT.B.5

What is the justification (reason)?

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

Tags

CCSS.HSG.CO.C.10

A midpoint...

• Divides an angle into two congruent angles.

• Divides a segment into two congruent segments.

• Creates 4 right angles.

• Never intersect.

A perpendicular bisector...

• Divides an angle into two congruent angles.

• Divides a segment into two congruent segments.

• Form 4 right angles.

• Never intersect.

If parallel lines are cut by a transversal, then ...

• alternate interior angles are congruent.

• Alternate exterior angles are congruent.

• corresponding angles are congruent.

• same side interior angles are supplementary.

Tags

CCSS.HSG.CO.C.9

If two angles form a right angles, then...

• The angles are congruent.

• The angles are complementary.

• The angles are supplementary.

• The angles are obtuse.

Tags

CCSS.4.MD.C.5

CCSS.4.MD.C.7

If two angles form on a straight line, then...

• the angles are congruent.

• the angles are complementary

• the angles are supplementary

• the angles are acute.

An angle bisector...

• Divides an angle into two congruent angles.

• Divides a segment into two congruent segments.

• Form right angles.

• Never intersect.

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

Tags

CCSS.7.G.B.5

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

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

Tags

CCSS.7.G.B.5