Relationships Consider the following relationships among people. Tell whether each relationship is reflexive, symmetric, transitive, or none of these. Explain.

Sample: The relationship “is younger than” is not reflexive because Sue is not younger than herself. It is not symmetric because if Sue is younger than Fred, then Fred is not younger than Sue. It is transitive because if Sue is younger than Fred and Fred is younger than Alana, then Sue is younger than Alana.

26. has the same birthday as
27. is taller than
28. lives in a different state than

Standardized Test Prep

SAT/ACT

GRIDDED RESPONSE

29. You are typing a one-page essay for your English class. You set 1-in. margins on all sides of the page as shown in the figure below. How many square inches of the page will contain your essay?

    

30. Given 2 ( m ∠ A ) + 17 = 45 2 open m angle eh close plus , 17 equals , 45  and m ∠ B = 2 ( m ∠ A ) , m angle , b equals , 2 open m angle eh close comma  what is m ∠ B ? m angle b question mark
31. A circular flowerbed has circumference 14 π m . 14 pi m .  What is its area in square meters? Use 3.14 for π . pi .
32. The measure of the supplement of ∠ 1 angle 1  is 98. What is m ∠ 1 ? m angle 1 question mark
33. What is the next term in the sequence 2, 4, 8, 14, 22, 32, 44, …?

Mixed Review

See Lesson 2-4.

34. Reasoning Use logical reasoning to draw a conclusion.

    If a student is having difficulty in class, then that student's teacher is concerned.

    Walt is having difficulty in science class.

See Lesson 1-4.

Use the diagram below. Find each measure.

35. m ∠ A O C m angle eh o c
36. m ∠ D O B m angle d o b
37. m ∠ A O D m angle eh o d
38. m ∠ B O E m angle b o e

Get Ready! To prepare for Lesson 2-6, do Exercises 39–41.

See Lesson 1-5.

Find the value of each variable.

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