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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

3. Using Midpoint and Distance Formulas

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Exercise 7 Page 24

Segments JM and MK are congruent.

Segment Bisector: M
JM=40

Practice makes perfect

We know that segment JM is congruent to MK because they have matching tick-marks. This means that M is the midpoint of JK. Therefore, M is the segment bisector.

Since JM and MK are congruent, the expressions for their lengths must be equal.

We can set the two expressions equal to one another and solve for x.

7x+5=8x

LHS-7x=RHS-7x

5=x

Rearrange equation

x=5

The length of JM is given by 7x+5. We can substitute 5 for x to find JM.

JM=7x+5

x= 5

JM=7( 5)+5

Multiply

JM=35+5

Add terms

JM=40

Subchapter links

Communicate Your Answer p.19

Monitoring Progress p.20-23

Exercises p.24-26