SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
Name: ________________________________
Do Now: ​Use the Segment Addition Postulate.​
1. ​
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Date:_______________
SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
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Example 1: ​
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Example 2: Using Algebra
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SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
You Try! ​
Example 3: ​
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Example 4:
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How to Construct the Midpoint of a Line Segment
After doing this
Start with a line segment PQ.
Step 1
Place the compasses on one end
of the line segment.
Step 2
Set the compasses' width to
approximately two thirds the line
length. The actual width does not
matter.
Your work should look like this
SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
Step 3
Without changing the compasses'
width, draw an arc above and
below the line.
Step 4
Again without changing the
compasses' width, place the
compasses' point on the other end
of the line. Draw an arc above
and below the line so that the
arcs cross the first two.
5
Using a straightedge, draw a line
between the points where the
arcs intersect.
6
Done. This line is perpendicular to
the first line and bisects it (cuts it
at the exact midpoint of the line).
SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
Example 5:​ C onstruct the midpoint of the given segment.
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**Challenge Example**
SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
Using the Midpoint Formula
Example 6:
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SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
You try! ​
Example 7: ​
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Example 8: ​
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SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
Using the Distance Formula
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Example 9:​ ​
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SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
Example 10: ​
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Example 11: ​
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SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
SUMMARY: ​
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**Homework: ​Textbook page 24 # 1, 2, 4-12 even, 16-34 even, 37 ​
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SWBAT – 1. find segment lengths using midpoints and segment bisectors,
2. Use the midpoint formula, and 3. Use the distance formula
Chapter 1 Lesson 3
Exit Ticket: ​
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