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Name_________________________________________Date_______________ Geometry Unit 1 Review Directions: Write the answers in the spaces provided. Show all work. Use the figure at right for Exercises 1-3. 1. What is another name for plane Z ? 1.____________ 2. Name two opposite rays in the diagram. € 2.____________ 3. Where would the plane STL intersect plane Z ? 3.___________ Use the figure below for Exercises 4–6. Name each of the following. € € 4. Name two points that are four units from K. 4.____________ 5. Name a segment congruent to GJ. € 5.____________ 6. Name the coordinate of the midpoint of NH. € 6.____________ Use the figure at the right for Exercises 7–10. 7. € Name a pair of vertical angles. 7.____________ 8. Name a pair of adjacent angles with vertex M. 8.____________ 9. Name a pair of adjacent angles with vertex S. € 9.___________ 10. Name a linear pair. 10.___________ € Use the segment below for Exercises 11–12. 11. Construct a segment that is congruent to AB. € 12. Construct a perpendicular bisector of AB. € Unit 1 Review Directions: Write the answers in the spaces provided. € 13. QR has endpoints Q(9, −2) and R(3, 5). What are the coordinates of its midpoint X? 13.___________ 14. GI bisects ∠DGH so that m∠DGI = ( x − 3)° and m∠IGH = (2x −13)° What is the value of x? 14.___________ € € € € 30º 65º For Questions 15-18, use the diagram at right. 115º 40º 75º 15. Is ∠ABC acute, obtuse or neither? 15.___________ 16. If m∠DCB = 110°,what is m∠DCA ? 16._____________ 17. € How many angles have their vertices at D? € 17.____________ 18. Compare the measures of the following angles: (<, >, =) m∠DAE ____?___ m∠BEC. 18.____________ € For Questions 19-20, use the diagram at right. € 19. What is the perimeter of the polygon? Round to the nearest tenth. 19.___________ 20. What is the area of the polygon? Round to the nearest tenth. 20._____________ 21. What is the circumference of a circle with the radius of 17 inches? Leave answer in terms of π. 21.____________ 22. What is the area of a circle with the diameter of 8 cm? Leave answer in terms of π. 22.____________ ⎛ x + x 2 y1 + y 2 ⎞ Midpoint Formula: M = ⎜ 1 , ⎟ ⎝ 2 2 ⎠ Circumference: C = πd € € Distance: d = Area of Circle: A = πr 2 € € 2 ( x 2 − x1) + ( y 2 − y1) 2 1. 2. 3. € 4. € 5. 6. € € 7. € 8. € 9. € 10. € 11. 12. € € 13. 14. 15. 16. € 17. € 18. 19. € 20. 21. 22. € Unit 1 Review Answers plane LTV (or any three non-collinear points) TL and TX XL G and O HK (or any segment with measure of 3 units) −3 ∠LSM and ∠OSN or ∠LSO and ∠MSN ∠LMS and ∠SMN ∠LSM and ∠MSN or ∠NSO and ∠OSL ∠OSN and ∠NSM construction with a straight edge and a compass construction with a straight edge and a compass ⎛ 3 ⎞ ⎜6, ⎟ ⎝ 2 ⎠ x = 10 acute 35° 3 = 21.2 28 units2 34 π inches 16 π cm2