Lesson 1-3 Measuring Segments

Lesson 1-3: Measuring

Segments

Objective: SW find and compare lengths of
segments.

Ruler Postulate

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Problem 1
Measuring Segment Lengths

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What is ST?

ST =

Segment Addition Postulate

Multiple Choice

The meaning of this postulate is that if three points A, B, and C lie in a straight line and B is between A and C, then

• point B is in the middle of points A and C.

• point B is closer to A than to C.

• point B is closer to C.

• the distance from A to B plus the distance from B to C is equal to the distance from A to C.

Problem 2

Using the Segment Addition Postulate

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EF + FG = EG Segment Addition Postulate

( ) + ( ) = 59 Substitute

__________ = 59 Combine like terms and solve.

x = ______

Answer:EF = _____________ ; FG = _____________

Multiple Choice

What are EF and FG?

• EF = 34; FG = 25

• EG = 50; FG = 9

• EG = 10; FG = 49

• EG = 26; FG = 33

Got It?

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In the diagram, JL = 120. What are JK and KL?
Show your work.

JK + ______ = JL


( ) + ( ) = 120

_______________ = 120


X = _________

JK = 4( ) + 6

JK = ______

KL = 7( ) + 15

KL = ______

Drag and Drop

JK = ​

Placeholder

and KL =​

Placeholder

Drag these tiles and drop them in the correct blank above

42

78

9

12

33

18

46

85

What are congruent segments?

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Multiple Choice

What are congruent segments?

• Segments that extend in the same direction

• Segments that have the same length

• Segments that extend in opposite directions

• Segments that form a right angle

Comparing Segment Lengths

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AC = ______; BD = ______

Do the segments have the same length? Yes or No

Consequently, the segments (are, are not) congruent.

Problem 3

Audio Response

True or False

AC = BD and therefore the two segments are congruent.

Open Audio Recorder

The midpoint of a segment is a point that divides the segment

into two congruent segments. A point, line, ray, or other

segment that intersects a segment at it midpoint is said to

bisect the segment. That point, line, ray, or segment is called a

segment bisector .

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Drag and Drop

The ​

Placeholder

of a segment is a point that divides the segment into two ​

Placeholder

segments.

Drag these tiles and drop them in the correct blank above

midpoint

congruent

distance

length

straight

postulate

Problem 4 Using the Midpoint

Step 1: Find x

PQ = QR

_____ = ______

_____ = _____


x = ____

Step 2: Find PQ and QR.

PQ = 6x - 7

PQ = 6( ) - 7

PQ = __________

QR = 5x + 1

QR = 5( ) + 1

QR = __________

Step 3: Find PR.

PR = PQ + QR

PR = ____ + ____

PR = _________

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Drag and Drop

PQ =​

Placeholder

; QR =​

Placeholder

; PR =​

Placeholder

Drag these tiles and drop them in the correct blank above

41

82

8

16

32

29

58

The

End

Credits

Special thanks to all the people who made and
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