geometry section 1-2 1112

SECTION 1-2Linear Measure

Thursday, September 4, 14

ESSENTIAL QUESTIONS

How do you measure segments?

How do you calculate with measures?


VOCABULARY

1. Line Segment:

2. Betweenness of Points:

3. Between:


VOCABULARY

1. Line Segment: A portion of a line that is distinguished due to having endpoints


3. Between:


VOCABULARY


AB is “segment AB”;


3. Between:


VOCABULARY


AB is “segment AB”; AB is “the measure of AB”


3. Between:


VOCABULARY



2. Betweenness of Points: For any two points A and B, the point C will be between A and B when C is between A and B on the line

3. Between:


VOCABULARY



2. Betweenness of Points: For any two points A and B, the point C will be between A and B when C is between A and B on the line

3. Between: Point K is between points J and L if and only if (IFF) J, K, and L are collinear and JK + KL = JL


VOCABULARY

4. Congruent Segments:

5. Construction:


VOCABULARY

4. Congruent Segments: Any segments that have the same measure

5. Construction:


VOCABULARY

4. Congruent Segments: Any segments that have the same measure

5. Construction: The process of drawing geometric figures using only a compass and straight edge (ruler)


EXAMPLE 1

Use a ruler to measure the length of AC in both metric and customary.

A C

ruler via iruler.netThursday, September 4, 14

EXAMPLE 1

Use a ruler to measure the length of AC in both metric and customary.

A C

What are the values from the note sheet


EXAMPLE 2

Use a ruler to draw the following line segments.

a. YO, 2 inches long

b. QI, 12 cm long


EXAMPLE 2



Y O

b. QI, 12 cm long


EXAMPLE 2



Y O

b. QI, 12 cm long

Measure a neighbor’s drawing


EXAMPLE 3

Find HA. Assume that the figure is not drawn to scale.

7 cm 3 cmH Y A


EXAMPLE 3


7 cm 3 cmH Y A

HA = 7 cm + 3 cm


EXAMPLE 3


7 cm 3 cmH Y A

HA = 7 cm + 3 cm

HA = 10 cm


EXAMPLE 4

Find RO. Assume that the figure is not drawn to scale.

17.6 in

4.3 inR O K


EXAMPLE 4


17.6 in

4.3 inR O K

RO = RK − OK


EXAMPLE 4


17.6 in

4.3 inR O K

RO = 17.6 in − 4.3 in

RO = RK − OK


EXAMPLE 4


17.6 in

4.3 inR O K

RO = 17.6 in − 4.3 in

RO = RK − OK

RO = 13.3 in


EXAMPLE 5

Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units.

H RM7x + 2 3x

32


EXAMPLE 5


H RM7x + 2 3x

327x + 2 + 3x = 32


EXAMPLE 5


H RM7x + 2 3x

327x + 2 + 3x = 32

10x + 2 = 32


EXAMPLE 5


H RM7x + 2 3x

327x + 2 + 3x = 32

10x + 2 = 32

10x = 30


EXAMPLE 5


H RM7x + 2 3x

327x + 2 + 3x = 32

10x + 2 = 32

10x = 30

x = 3Thursday, September 4, 14

EXAMPLE 5


H RM7x + 2 3x

327x + 2 + 3x = 32

10x + 2 = 32

10x = 30

x = 3

HM = 7x + 2


EXAMPLE 5


H RM7x + 2 3x

327x + 2 + 3x = 32

10x + 2 = 32

10x = 30

x = 3

HM = 7x + 2

HM = 7(3) + 2


EXAMPLE 5


H RM7x + 2 3x

327x + 2 + 3x = 32

10x + 2 = 32

10x = 30

x = 3

HM = 7x + 2

HM = 7(3) + 2

HM = 21 + 2


EXAMPLE 5


H RM7x + 2 3x

327x + 2 + 3x = 32

10x + 2 = 32

10x = 30

x = 3

HM = 7x + 2

HM = 7(3) + 2

HM = 21 + 2

HM = 23Thursday, September 4, 14

PROBLEM SET


PROBLEM SET

p. 18 #1-33 odd, 37, 38

“Keep steadily before you the face that all true success depends at last upon yourself.” - Theodore T. Hunger


geometry section 1-2 1112

Education