over lesson 2–7 5-minute check 1 a.transitive property b.symmetric property c.reflexive property...

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Over Lesson 2–7 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.

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Page 1: 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

Over Lesson 2–7

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.

Page 2: 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

Over Lesson 2–7

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

Page 3: 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

Over Lesson 2–7

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

Page 4: 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

Over Lesson 2–7

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.

Page 5: 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

Over Lesson 2–7

A.

B.

C.

D.

State a conclusion that can be drawn from the statements given using the property indicated.

LM NO___ ___

Page 6: 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

Over Lesson 2–7

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?

___

Page 7: 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
Page 8: 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

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?

Page 9: 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. 32

B. 94

C. 104

D. 116

Find m1 if m2 = 58 and mJKL = 162.

Page 10: 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
Page 11: 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

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?

Page 12: 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. 20

B. 30

C. 40

D. 50

QUILTING The diagram shows one square for a particular quilt pattern. If mBAC = mDAE = 20, and BAE is a right angle, find mCAD.

Page 13: 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
Page 14: 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
Page 15: 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
Page 16: 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

Proofs Using Congruent Comp. or Suppl. Theorems

Given:

Prove:

Page 17: 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

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

Page 18: 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
Page 19: 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

Use Vertical Angles

If 1 and 2 are vertical angles and m1 = d – 32 and m2 = 175 – 2d, find m1 and m2. Justify each step.

Statements ReasonsProof:

Page 20: 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.

B.

C.

D.

Page 21: 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
Page 22: 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

• Assignment:

• 156/ 1-17, 28. 29. 36-53