example 1a a.plane wtz b.plane syz c.plane wxy d.plane qrx a.name a plane that is parallel to plane...

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A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX A. Name a plane that is parallel to plane RST.

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Page 1: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. plane WTZ

B. plane SYZ

C. plane WXY

D. plane QRX

A. Name a plane that is parallel to plane RST.

Page 2: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. PM

B. TS

C. PO

D. MQ___

___

___

___

Choose the segment skew to MP.

Page 3: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 0

B. undefined

C. 3

D.

D. Find the slope of the line.

Page 4: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. about 251.5 million

B. about 166.3 million

C. about 180.5 million

D. about 194.7 million

CELLULAR TELEPHONES Between 1994 and 2000, the number of cellular telephone subscribers increased by an average rate of 14.2 million per year. In 2000, the total subscribers were 109.5 million. If the number of subscribers increases at the same rate, how many subscribers will there be in 2010?

Page 5: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. – x – y = – 4

B. x – y = – 4

C. x + y = – 4

D. x + y = 4

Write an equation in standard form of the line with slope of –1 and y-intercept of 4.

Page 6: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

ALGEBRA Find x so that || .

A. x = 60

B. x = 9

C. x = 12

D. x = 12

Page 7: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. Yes; ℓ ║ n

B. Yes; m ║ n

C. Yes; ℓ ║ m

D. It is not possible to prove any of the lines parallel.

B. Given m4 = 105 and m5 = 70, is it possible to prove that any of the lines shown are parallel?

Page 8: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

B. Name a segment that intersects YZ.

A. XY

B. WX

C. QW

D. RS

Page 9: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

C. Name a segment that is parallel to RX.

A. ZW

B. TZ

C. QR

D. ST

Page 10: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. alternate interior

B. alternate exterior

C. corresponding

D. same-side interior

A. Classify the relationship between 4 and 5.

Page 11: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. alternate interior

B. alternate exterior

C. corresponding

D. same-side interior

B. Classify the relationship between 7 and 9.

Page 12: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. alternate interior

B. alternate exterior

C. corresponding

D. same-side interior

C. Classify the relationship between 4 and 7.

Page 13: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. alternate interior

B. alternate exterior

C. corresponding

D. same-side interior

D. Classify the relationship between 2 and 11.

Page 14: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. lines c, f

B. lines c, d, e

C. lines c, d, f

D. lines c, d, e, f

A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal.

Page 15: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. no lines

B. lines c, f

C. lines c, d, e, f

D. lines a, c, d, e, f

B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal.

Page 16: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. no lines

B. lines a, b, d, e, f

C. lines a, d, f

D. lines a, b, e

C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal.

Page 17: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. RST

B. PON

C. STQ

D. POS

Choose the plane parallel to plane MNR.

Page 18: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. corresponding angles

B. vertical angles

C. same-side interior angles

D. alternate exterior angles

Classify the relationship between 1 and 5.

Page 19: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. alternate interior angles

B. alternate exterior angles

C. corresponding angles

D. same-side interior angles

Classify the relationship between 3 and 8.

Page 20: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. alternate interior angles

B. alternate exterior angles

C. corresponding angles

D. vertical angles

Classify the relationship between 4 and 6.

Page 21: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. OS

B. TS

C. NR

D. MQ

Which of the following segmentsis not parallel to PT?

Page 22: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 42

B. 84

C. 48

D. 138

A. In the figure, a || b and m18 = 42. Find m22.

Page 23: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 42

B. 84

C. 48

D. 138

B. In the figure, a || b and m18 = 42. Find m25.

Page 24: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 25

B. 55

C. 70

D. 125

FLOOR TILES The diagram represents the floor tiles in Michelle’s house. If m2 = 125, find m4.

Page 25: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. ALGEBRA If m1 = 9x + 6, m2 = 2(5x – 3), and m3 = 5y + 14, find x.

A. x = 9

B. x = 12

C. x = 10

D. x = 14

Page 26: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

B. ALGEBRA If m1 = 9x + 6, m2 = 2(5x – 3), and m3 = 5y + 14, find y.

A. y = 14

B. y = 20

C. y = 16

D. y = 24

Page 27: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 24

B. 34

C. 146

D. 156

In the figure, m4 = 146. Find the measure of 2.

Page 28: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 24

B. 34

C. 146

D. 156

In the figure, m4 = 146. Find the measure of 7.

Page 29: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 160

B. 146

C. 56

D. 34

In the figure, m4 = 146. Find the measure of 10.

Page 30: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 180

B. 160

C. 52

D. 34

In the figure, m4 = 146. Find the measure of 11.

Page 31: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 180

B. 146

C. 68

D. 34

Find m11 + m6.

Page 32: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 76

B. 75

C. 53

D. 52

In the map shown, 5th Street and 7th Street are parallel. At what acute angle do Strait Street and Oak Avenue meet?

Page 33: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A.

B.

C.

D.

A. Find the slope of the line.

Page 34: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. 0

B. undefined

C. 7

D.

B. Find the slope of the line.

Page 35: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A.

B.

C. –2

D. 2

C. Find the slope of the line.

Page 36: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. parallel

B. perpendicular

C. neither

Determine whether AB and CD are parallel, perpendicular, or neither for A(–2, –1), B(4, 5), C(6, 1), and D(9, –2)

Page 37: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

Graph the line that contains R(2, –1) and is parallelto OP with O(1, 6) and P(–3, 1).

A. B.

C. D. none of these

Page 38: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A.

B.

C.

D.

What is the slope of the line MN for M(–3, 4) and N(5, –8)?

Page 39: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A.

B.

C.

D.

What is the slope of a line perpendicular to MN for M(–3, 4) and N(5, –8)?

Page 40: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A.

B.

C.

D.

What is the slope of a line parallel to MN forM(–3, 4) and N(5, –8)?

Page 41: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. B.

C. D.

What is the graph of the line that has slope 4 and contains the point (1, 2)?

Page 42: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

What is the graph of the line that has slope 0 and contains the point (–3, –4)?

A. B.

C. D.

Page 43: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. (–2, 2)

B. (–1, 3)

C. (3, 3)

D. (4, 2)

Page 44: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

Write an equation in point-slope form of the line

whose slope is that contains (6, –3).

A.

B.

C.

D.

Page 45: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. Write an equation in slope-intercept form for a line containing (3, 2) and (6, 8).

A.

B.

C.

D.

Page 46: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. y = 2x – 3

B. y = 2x + 1

C. y = 3x – 2

D. y = 3x + 1

B. Write an equation in slope-intercept form for a line containing (1, 1) and (4, 10).

Page 47: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

Write an equation of the line through (–3, 6) and (9, –2) in slope-intercept form.

A.

B.

C.

D.

Page 48: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. y = 3x

B. y = 3x + 8

C. y = –3x + 8

D.

Page 49: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. C = 25 + d + 100

B. C = 125d

C. C = 100d + 25

D. C = 25d + 100

RENTAL COSTS A car rental company charges $25 per day plus a $100 deposit.

A. Write an equation to represent the total cost C for d days of use.

Page 50: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. first company

B. second company

C. neither

D. cannot be determined

RENTAL COSTS A car rental company charges $25 per day plus a $100 deposit.

B. Compare this rental cost to a company which charges a $50 deposit but $35 per day for use. If a person expects to rent a car for 9 days, which company offers the better rate?

Page 51: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A.

B.

C.

D.

containing the point (5, –2) in point-slope form?

Page 52: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. y = 3x + 7

B. y = 3x – 2

C. y – 7 = 3x + 2

D. y – 7 = 3(x + 2)

What is the equation of the line with slope 3 containing the point (–2, 7) in point-slope form?

Page 53: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. y = –3x + 2.5

B. y = –3x

C. y – 2.5 = –3x

D. y = –3(x + 2.5)

What equation represents a line with slope –3 containing the point (0, 2.5) in slope-intercept form?

Page 54: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A.

B.

C.

D.

containing the point (4, –6) in slope-intercept form?

Page 55: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. y = 3x + 2

B. y = 3x – 2

C. y – 6 = 3(x – 2)

D. y – 6 = 3x + 2

What equation represents a line containing points (1, 5) and (3, 11)?

Page 56: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A.

B.

C.

D.

Page 57: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. Yes; ℓ ║ n

B. Yes; m ║ n

C. Yes; ℓ ║ m

D. It is not possible to prove any of the lines parallel.

A. Given 1 5, is it possible to prove that any of the lines shown are parallel?

Page 58: Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST

A. The two horizontal lines are parallel.

B. The two vertical lines are parallel.

C. The vertical lines are perpendicular to the horizontal lines.

D. All of these statements are true.

GAMES In the game Tic-Tac-Toe, four lines intersect to form a square with four right angles in the middle of the grid. Is it possible to prove any of the lines parallel or perpendicular? Choose the best answer.