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Geometry Test Review: Conditional Statements, Angle Relationships, and Construction Steps

This resource covers essential concepts from a geometry test, including inverse and contrapositive of conditional statements. It addresses supplementary and complementary angles, linear pairs, and solving for variables in geometric equations. It also includes step-by-step instructions for geometric constructions using a straightedge and compass. Students will learn how to derive hypotheses from conditional statements and apply reasoning to solve for unknowns. Practice problems are provided to reinforce understanding of geometric principles and conditional logic.

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Geometry Test Review: Conditional Statements, Angle Relationships, and Construction Steps

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  1. Warm UpMarch 13, 2014 If I do well on the test, then I studied. 1. Give the inverse of the conditional statement. 2. Give the contrapositive of the conditional statement.

  2. EOCT Week 9 #4

  3. #1 1 and 2 are called?

  4. #21 and 2 are complementary Solve for X.

  5. #31 and 2 are Supplementary Solve for X.

  6. #4

  7. #5

  8. #6 List all Linear pairs

  9. #7 Find the measure of angle 9

  10. #8 Solve for x

  11. #9 If AG = 7, FC = 24, and BG = 5Find BE.

  12. #10 If AG = 7, FC = 24, and BG = 5Find FG.

  13. #11 Solve for x and y

  14. #12 Which construction is performed by the procedure below? • Use the straightedge to draw a ray. Label its endpoint Q. • Place the compass point viewing hole over the vertex of the given angle. Draw an arc that intersects both sides of the angle. Label these two points of intersection R and S. • Keeping the radius of the compass the same, place the compass point viewing hole over Q. Draw an arc that intersects the ray. Label this point of intersection T. • Place the compass point viewing hole over R. Slide the radius indicator until it is over S. • Using this new radius setting, put the compass point over T. Draw an arc that intersects the one you drew in step 3. Label the point of intersection U. • Draw ray QU.

  15. #13 Solve for x.

  16. #14 If it is a bicycle, then it has two wheels. Give the hypothesis of the conditional statement.

  17. #15 If I receive a scholarship, then I will go to college. Write the contrapositive of the conditional statement the label the statement true or false.

  18. 1. Linear pair 9. 15 2.X = 10 10. 8 3.X = 55 11. x = 8, y = 5 4. 3 = 90, 4 = 146, 5 = 146, 7 = 137, 8 = 43 12. Copy a angle 5. C 13. x = 2 6. 1,2 1, 4 2,3 3,4 5,6 5,8 6,7 7,8 14. it is a bike 7. 37 15. not college, not scholarship F 8. X = 12

  19. Bonus Find the angle of STZ.

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