Geometry Unit 1 Part 1 Test Review Name: ate: Period: Part I efinitions, Postulates, Formulas, and Theorems Point Inductive Reasoning onditional Statement Postulate Line onjecture hypothesis Segment ddition Postulate Line segment Sequence onclusion Midpoint Ray eductive Reasoning ounterexample ongruent Plane Proof Interchange isect Vertex of an angle Theorem Negate ngle ddition Postulate omplementary ngles Undefined terms onditional statement djacent ngles Supplementary ngles ngle onverse ongruent ngles cute ngle Reflexive Property Inverse isector of an ngle Right ngle Symmetric Property ontrapositive Vertical ngles Obtuse ngle Transitive Property iconditional statement Perpendicular Straight ngle Substitution Property Pythagorean Theorem hord of a ircle Two-column Proof istance Formula iameter of a ircle Radius of a ircle Part II - Practice Problems Perfect Squares Simplifying Radicals Midpoint Formula on a Number Line Midpoint Formula on the coordinate plane 1. How do you name a line? Sketch a diagram, label and, name it.. Use circle P and name the following: a. ll the radii b. iameter c. chord that is not a diameter P 3. Use inductive reasoning to determine the next two terms in each sequence. a. 1, 17, 3, 30,... b. -1,, -4, 8, -16,. 4. Underline the hypothesis and circle the conclusion of the conditionals a. If an insect is a butterfly, then it has four wings b. Four angles are formed if two lines intersect 5. What is the contrapositive of the statement: If it is Sunday, then I do not go to school.. If I do not go to school, then it is Sunday.. If it is not Sunday, then I do not go to school.. If I go to school, then it is not Sunday.. If it is not Sunday, then I go to school. 6. What is the converse of the conditional statement: If the animal is an adult insect, then it has six legs.. If the animal is not an adult insect, then it does not have six legs.. If the animal is an adult insect, then it has six legs.. If the animal has six legs, then it is an adult.. If the animal does not have six legs, then it is not and adult insect. 1
7. What is the inverse of the conditional statement: If the table top is rectangular, then its diagonals are congruent.. If the table top is rectangular, then its diagonals are congruent.. If the table top is not rectangular, then its diagonals are not congruent.. If the diagonals of the table top are not congruent, then it is not rectangular.. If the diagonals of a table top are congruent, then it is rectangular. 8. Name the three undefined terms in Geometry 9. segment is comprised of which of the following?. t least 3 points connected without arrows. t least 3 points connected with arrows. t least points connected with arrows. t least points connected without arrows 10. plane is made by which of the following?. t least 3 collinear points. t least 3 noncollinear points. trapezoid around any 3 points. rectangle around any 3 points 11. n angle is made up by which of the following?. Two lines with a common vertex. Two segments with a common endpoint. Two rays with a common endpoint. Two sides with a common angle 1. Given that is a right angle, raw the angle appropriately (include all necessary symbols) 13. ased on question above, what do you know about and?.... = 14. What reason would justify your choice for #13?. Lines are parallel. Lines are perpendicular. ngles are complementary. You have a right angle. The sides of the angle are congruent
15. State the angle addition postulate using the diagram to the right: 16. On the coordinate plane, state the following formulas: a. Midpoint formula b. istance formula 17. Point J lies on a number line between R and L. The coordinate of R is 1 and the coordinate of L is 1. The distance between R and J is 1 of RL. What is the coordinate of J? 3 18. 1. Point S lies on a number line between and H. The coordinate of is 0 and the coordinate of H is 1. The distance between and S is 3 of H. What is the coordinate of S? 4 19. Use the figure to the right. a. State whether and are: (check all that apply) adjacent angles supplementary angles vertical angles complementary angles congruent angles b. If m = 70, what is the m? 0. Find m MN. (3y + 5) L (1y + 7) M N 1. If M is between L and N, LN = 3x 1, LM = 4, and MN = x 1, find MN.. Given, if m = ( 6x 1), find x. 3
3. R is the midpoint of SL on a number line. If SR = 7y 5 and RL = 3y + 7, what is SL? 4. Use the following diagram : a) What is the vocabulary word for and? and what do you know about the measures of those angles b) What is the vocabulary word(s) for and? and what do you know about the measures of those angles c) = (3x + ) and = (13x 18), find m d) = (4x + 4) and = (x 7), find m 5. If m TRI = 3x 5, mir = x + 7 and m TR = 86, find x. T I R 6. Find the midpoint of N if N is located at (1,4) and is located at (-,1). 4
7. The midpoint of WL is ( 4, 6) and the coordinates of point W are (, ). What are the coordinates of point L? 8. Given two points (9,9) and (6, 7), find the distance between the points. Round to the nearest tenth. 9. If S is the angle bisector of S, and the m S = 58, what is m S? 30. a. find y b. find m c. find m d. State the angle relationship between m and m (6y + 0) (4y + 44) 31. Given m 6 = 4y + and m 7 = 6y 1 find the value of y if a. 6 and 7 are complementary b. 6 and 7 are supplementary 3. If m 1 = 3x + 17, and m = x + 13, what is the value of x? 1 33. Write a two-column proof: Given: 1 (x + 4) = 4 x Prove: x = 3 5