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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

3. Measuring Segments

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Exercise 21 Page 24

Lines PT and TQ are congruent.

PT = 34

Practice makes perfect

We know that PT is congruent to TQ because they have matching tick-marks.

Since PT and TQ are congruent, the expressions for their lengths must be equal. We can set the two expressions equal to one another and solve for x.

4x-6=3x+4

LHS-3x=RHS-3x

x-6=4

LHS+6=RHS+6

x=10

The length of PT is given by 4x-6. We can substitute 10 for x to find PT.

PT=4x-6

x= 10

PT=4( 10)-6

Multiply

PT=40-6

Subtract term

PT=34

Subchapter links

Lesson Check p.23

Practice and Problem-Solving Exercises p.24-25

Standardized Test Prep p.26

Mixed Review p.26