Geometry Quarter 3

If O is the midpoint of 𝐶𝑁̅̅̅̅, then OC = ON

• Angle Bisector

• Addition Property of Equality (APE)

• Angle Bisector

• Midpoint

If ∠C ≅ ∠M, then m∠C = m∠M. or If m∠C = m∠M, then ∠C ≅ ∠M

• Addition Property of Equality (APE)

• Congruent Angles

• Midpoint

• Angle Measure Postulate

If 𝐶𝐷̅̅̅̅ ⊥ 𝐷𝑆 ̅̅̅̅, then ∠CDS is a right angle.

• Congruent Segments

• The Angle Addition Postulate (AAP)

• Perpendicularity

• none

If ∠N is an obtuse angle, then m∠N > 90.

• Obtuse Angle

• Segment Bisector

• Angle Measure Postulate

• Transitive Property of Equality (TPE)

If ∠C is a right angle, then m∠C = 90.

• Right Angle

• Reflexive Property of Equality (RPE)

• Congruent Segments

• Angle Bisector

If ∠T and ∠O are supplementary angles, then m∠T + m∠O = 180

• Betweenness

• The Angle Addition Postulate (AAP)

• Multiplication Property of Equality (MPE)

• Supplementary Angles

If C, O and N are collinear (O is in between C & N), then CO + ON = CN.

• Linear Pair

• Betweenness

• Congruent Angles

• Right Angle

If ∠O is an acute angle, then m∠O < 90.

• Midpoint

• Supplementary Angles

• Acute Angle

• Obtuse Angle

If 𝐺𝑀̅̅̅̅̅ bisects 𝑉𝑆̅̅̅̅ at O, then OG = OM

• Perpendicularity

• Linear Pair

• Segment Bisector

• Complementary Angles

If ∠C and ∠J are complementary angles, then m∠C + m∠J = 90.

• Linear Pair

• Complementary Angles

• Acute Angle

• Congruent Angles