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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Using Midpoint and Distance Formulas

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Exercise 2 Page 396

Segments PM and MQ are congruent.

Segment Bisector: M
PQ = 4 47

Practice makes perfect

We know that segments PM and MQ are congruent because they have matching tick-marks. This means that M is the midpoint of PQ. Therefore, M is the segment bisector.

Since PM and MQ are congruent, they have the same length.

We can add these lengths to find the total length of segment PQ.

PQ = 2 27+2 27

▼

Evaluate

Write as a sum

PQ = 2+2/7+2+2/7

Add terms

PQ = 4+2/7+2/7

Add fractions

PQ = 4+4/7

Add terms

PQ = 4 47

Subchapter links

Communicate Your Answer p.395

Monitoring Progress p.396-399

Exercises p.400-402