NAME_________________________________DATE________________PER



NAME_________________________________DATE________________PER._____

Unit 2 REVIEW

Given that B is between A and C, find each missing piece.

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|AB = 5.3, and AC = 6.7. Find BC. |

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|BC = ____________ |

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|AB = 21 and BC = 4.3. Find AC. |

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|AC = ____________ |

If B is between A and C, find the value of ‘x’ and BC.

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|AB = 3(x + 7), BC = 2(x – 3), and AC = 50. |

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|x = ____________ |

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|BC = _______________ |

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Find the length of the segment formed by connecting the points with the given coordinates. Write your answers in simplest form.

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|(3, 1) and (2, 4) |(-1, 4) and (-3, -4) |

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|d = _______________ |d = _______________ |

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Find the midpoint of the segment formed by each pair of coordinates.

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|(0, 9) and (2, 5) |(-3, 3) and (-8, -5) |

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|midpoint:_______________ |midpoint:_______________ |

Given that M is the midpoint of AC, find the coordinates of the endpoint indicated.

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|A( -5, 1 ) and M( -2, 0 ) |M( 3, 7 ) and C( 5, 10 ) |

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|C(__________, __________) |A(__________, __________) |

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IMPORTANT GEOMETRIC TERMS

Fill in the blank with the correct term.

__________________ 10. All sides are different lengths.

__________________11. Two sides are equal.

__________________12. all sides are equal.

__________________13. All angles are less than 90 degrees.

__________________14. One angle is larger than 90 degrees.

__________________15. one angle is 90 degrees.

__________________16. all angles are the same.

__________________17. a closed figure formed by three or more segments

that intersect each other at their endpoints.

The measures of two angles of a triangle are given. Find the measure of the third angle, then classify the triangle by ANGLES.

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|18. 57(, 33( | |

| |Third Angle = ___________Classification:_________________________ |

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|19. 36(, 52( | |

| |Third Angle = ___________Classification:_________________________ |

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|20. 50(, 50( | |

| |Third Angle = ___________Classification:_________________________ |

ANGLES OF TRIANGLES

Find the value of ‘x’ in each problem, and write your answer in the blank provided.

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|x = _______________ | |

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|x = _______________ |x = _______________ |

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|m(E = _______________ |m(C = ________; m(ABC = ________ |

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SIMILAR POLYGONS

Use the similar triangles below to determine whether each of the following statements are TRUE or FALSE. (Circle one.)

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|24. TRUE or FALSE |(Y ( (S |

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|25. TRUE or FALSE |(O is included between SO and GO. |

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|26. TRUE or FALSE |XT: OS |

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|27. TRUE or FALSE |OS is included between (O and (G. |

Two similar polygons are shown. Find the values of ‘x’ and ‘y’.

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|28. x = __________ |(RST ( (UVT |

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|y = __________ | |

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Solve each of the following, and write your final answer in the blank provided.

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|29. ____________ |A ladder rests against the top of a wall. The head of a person 6 feet tall just touches the ladder. The person is |

| |9 feet from the wall and 6 feet from the foot of the ladder. Find the height of the wall. |

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|30.____________ |If a 12-foot tree casts a 6-foot-long shadow. How tall is a tree that casts a 4-foot-long shadow? |

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|31.____________ |At the same time of day, a man who is 6-feet tall casts an 8-foot-long shadow, and his son casts a 4-foot-long |

| |shadow. What is the height of the man’s son? |

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REVIEW

Clearly circle the correct answer for each of the following. Work must be shown to receive credit..

32. The circle graph most accurately

represents which of the situations

below?

A. In the election for class president, Sarah received 40% of the votes, Eddie received 25%, Carol received 15%, and Matthew received 20%.

B. During a special sale at Calvert Auto Mart, Edward sold 30% of

the cars sold, Janet sold 5%, Edith sold 40%, and Mitch sold 25%.

C. Mr. And Mrs. Johnson spent 30% of their income on housing, 25% on utilities, 35% on food, and 10% on miscellaneous expenses.

D. In a recent survey about favorite pets, 45% of those surveyed chose dogs, 35% chose cats, and 5% chose horses, and 15% chose other animals.

33. Flores gave her seventh-grade math class two sets of numbers that were sorted according to a certain rule. The numbers that followed the rule were put in set A, and the numbers that did not follow the rule were put in Set B.

Based on this information, all the numbers in Set A-

A. have exactly four non-zero digits

B. include the digit 2

C. have odd numbers in the ones place

D. are written to the hundredths place

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|Find the value of ‘x’. | |

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|x = _______________ | |

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34. Which equation describes this graph?

A. y = x + 1

B. y = x2

C. x = y2

D. y = x

E. x = y + 1

35. What is the domain of the function described by the graph?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

E. [pic]

36. Last week the manager of a hamburger

restaurant recorded the following

information.

|Number of Customers, c | | | | | |

| |24 |36 |48 |60 |72 |

|Number of Hamburgers, h | | | | | |

| |60 |90 |120 |150 |180 |

Which equation below can be

used to find h, the number of

hamburgers sold to c customers?

A. h = c + 12

B. h = [pic]c

C. h = c + 30

D. h = [pic]c

h = 2c + 5

37. A store selling calculators has found that when the calculators are sold at a price of x dollars per unit, the total income, y, is a function of the price. The graph of y = -150x2 + 3000x shows the total income.

Which price per unit produces a total income of $13,000?

A. $10

B. $14.50

C. $4 and $16

D. $5 and $15

E. $6 and $14

38. The area of a rectangle is given by the equation

[pic]

where x is the width of the rectangle. What is the width?

5

A. 9

B. 15

C. 25

39. The expression 3 + (2 + n) is equivalent to-

A. (3 + 2)n

B. 3 + 2n

C. (3 + 2) + n

D. 5n

40. Together, Luke and James have never eaten more than 16 pieces of pizza at one time. Which equation describes y, the total number of pieces that Luke has eaten at one time given x, the number of pieces that James has eaten?

A. [pic]

B. [pic]

C. y = 16 – x

D. Not Here

41. Which set of ordered pairs is a function?

A. (-1, 8), (0, 8), (3, 8), (-6, 0)

B. (4, -3), (2, 7), (4, 1), (-5, 12)

C. (86, 1), (94, 2), (94, 3), (83, 4)

D. Not Here

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Word Bank:

Scalene Triangle Obtuse Triangle Isosceles Triangle

Right Triangle Equilateral Triangle Triangle

Equiangular Triangle Acute Triangle

$20

$18

Price per Unit

$6

$4

$2

$16,000

$14,000

$12,000

$10,000

$8000

$6000

$4000

$2000

[pic]

[pic]

(3x + 21)(

(7x – 3)(

|Set A |34.23, 42.50, 430.17, 101.49, 1,635.09 |

|Set B |216.1, 2.365, 2.2, 6,465, 949,508 |

$8

X

6

9

y

4

12

V

U

T

S

R

$10

$12

G

0

S

T

X

Y

$14

F

E

D

x(

x(

2x(

80(

(2x – 4)(

x(

C

B

A

Total Income

Calculator Sales

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21(

x(

$16

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