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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

2. Perpendicular and Angle Bisectors

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Exercise 18 Page 297

Notice that WY is the perpendicular bisector of TZ.

5

Practice makes perfect

We want to find the value of x in the given diagram.

We know that WY is the perpendicular bisector of TZ. The Perpendicular Bisector Theorem tells us that, if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Because W lies on WY, it is equidistant from the endpoints of TZ. TW=ZW ⇒ 2x=3x-5 To find the value of x, we can solve the above equation.

2x=3x-5

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Solve for x

LHS-2x=RHS-2x

0=x-5

LHS+5=RHS+5

5=x

Rearrange equation

x=5

Subchapter links

Lesson Check p.296

Standardized Test Prep p.299

Mixed Review p.299