5.1 Review Worksheet

5.1.1 Perpendicular and Angle Bisector Theorems Use the diagram for Exercises 1-3. 1. Given that line t is the perpendicular bisector of JK and GK = 8.25, find GJ . t G

J

H

K

2. Given that line t is the perpendicular bisector of JK , JG = x + 12, and KG = 3 x − 17, find KG .

3. Given that GJ = 70.2, JH = 26.5, and GK = 70.2, find JK .

Use the diagram for Exercises 4-6. 4. Given that m ∠ RSQ = m ∠ TSQ and TQ = 1.3, find RQ .

S

R

T

Q

5. Given that m ∠ RSQ = 58º, RQ = 49, and TQ = 49, find m ∠ RST .

6. Given that RQ = TQ, m ∠ QSR = (9 a + 48)º, and m ∠ QST = (6 a + 50)º, find m ∠ QST .

7. The planners for a new section of the city want every location on Main Street to be equidistant from Elm Street and Grove Street. How can the planners ensure that this is the case?

Elm Street

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