Over Lesson 2–7 5-Minute Check 1 A.Transitive Property B.Symmetric Property C.Reflexive Property D.Segment Addition Postulate Justify the statement with a property of equality or a property of congruence.

Over Lesson 2–7 5-Minute Check 2 Justify the statement with a property of equality or a property of congruence. A.Transitive Property B.Symmetric Property C.Reflexive Property D.Segment Addition Postulate

Over Lesson 2–7 5-Minute Check 3 Justify the statement with a property of equality or a property of congruence. If H is between G and I, then GH + HI = GI. A.Transitive Property B.Symmetric Property C.Reflexive Property D.Segment Addition Postulate

Over Lesson 2–7 5-Minute Check 4 A.WX > WZ B.XW + WZ = XZ C.XW + XZ = WZ D.WZ – XZ = XW State a conclusion that can be drawn from the statement given using the property indicated. W is between X and Z; Segment Addition Postulate.

Over Lesson 2–7 5-Minute Check 5 A. B. C. D. State a conclusion that can be drawn from the statements given using the property indicated. LM  NO ___

Over Lesson 2–7 5-Minute Check 6 A.AB + BC = AC B.AB + AC = BC C.AB = 2AC D.BC = 2AB Given B is the midpoint of AC, which of the following is true? ___

Concept

Example 1 Use the Angle Addition Postulate CONSTRUCTION Using a protractor, a construction worker measures that the angle a beam makes with a ceiling is 42°. What is the measure of the angle the beam makes with the wall?

Example 1 A.32 B.94 C.104 D.116 Find m  1 if m  2 = 58 and m  JKL = 162.

Concept

Example 2 Use Supplement or Complement TIME At 4 o’clock, the angle between the hour and minute hands of a clock is 120º. When the second hand bisects the angle between the hour and minute hands, what are the measures of the angles between the minute and second hands and between the second and hour hands?

Example 2 A.20 B.30 C.40 D.50 QUILTING The diagram shows one square for a particular quilt pattern. If m  BAC = m  DAE = 20, and  BAE is a right angle, find m  CAD.

Concept

Example 3 Proofs Using Congruent Comp. or Suppl. Theorems Given: Prove:

Example 3 In the figure,  NYR and  RYA form a linear pair,  AXY and  AXZ form a linear pair, and  RYA and  AXZ are congruent. Prove that  NYR and  AXY are congruent.

Concept

Example 4 Use Vertical Angles If  1 and  2 are vertical angles and m  1 = d – 32 and m  2 = 175 – 2d, find m  1 and m  2. Justify each step. StatementsReasons Proof:

Example 4 A. B. C. D.

Concept

Assignment: 156/ 1-17,