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Name:______________________________ Period:_______ Date:__________________ Unit 1 Review I. Terminology: Match the following terms with their definitions. 1. Euclidean Geometry 2. Undefined Term 3. Point 4. Line 5. Plane 6. Defined Term 7. Parallel Lines 8. Perpendicular Lines 9. Skew Lines 10. Line Segment 11. Ray 12. Proof 13. Theorem 14. Conjecture 15. Inductive Reasoning 16. Deductive Reasoning 17. Conditional Statement 18. Direct Reasoning 19. Converse Statement 20. Inverse Statement 21. Contrapositive Statement 22. Biconditional Statement 23. Corollary 24. Counterexample 25. Definition 26. Postulate a. A theorem whose proof follows directly from another theorem. b. An example that proves that a conjecture or statement is false. c. A statement that describes a mathematical object and can be written as a true biconditional statement. d. The statement formed by negating the hypothesis and conclusion of a conditional statement. e. The statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement. f. A statement that can be written in the form βp if and only if q.β g. A statement that can be written the form βif p, then qβ, where p is the hypothesis and q is the conclusion. h. The process of reasoning that begins with a true hypothesis and builds a logical argument to show that a conclusion is true. i. The statement formed by exchanging the hypothesis and conclusion of a conditional statement. j. An undefined term in Geometry, it is a straight path that has no thickness and extends forever. k. A statement that is believed to be true. l. The process of reasoning that a rule or statement is true because specific cases are true. m. The process of using logic to draw conclusions. n. Lines that are not coplanar. o. A figure that is defined in terms of undefined terms and other figures. p. A statement that is accepted as true without proof. Also called an axiom. q. An argument that uses logic to show that a conclusion is true. r. A statement that has been proven. s. Lines that intersect at 90 angles. t. An undefined term Geometry, it names a location and has no size. u. Lines in the same plane that do not intersect. v. An undefined term in Geometry, it is a flat surface that has no thickness and extends forever. w. The system of geometry described by Euclid. x. A basic figure that is not defined in terms of other figures. The figures are point, line, and plane. y. A part of a line consisting of two end points and all points between them. z. A part of a line that starts at an endpoint and extends forever in one direction. Page 1 of 4 II. Segment Length: Distance Formula: Midpoint Formula: π₯1 + π₯2 ( , 2 π = β(π₯1 β π₯2 )2 + (π¦1 β π¦2 )2 Calculate the distance and midpoint between following sets of points. 1. A(5, 8) and B(-3, 6) 2. C(5, -9) and D(-11, 7) 3. G(4, 7) and H(-1, -5) 4. K(-2, -5) and L(5, 8) Calculate the indicated length: 5. Find NQ. 6. Find ST. Use the number line to find the indicated distance. 7. LM 8. JL 9. JM Page 2 of 4 π¦1 + π¦2 ) 2 III. Angle Measures: Use the following diagram: 1. supplement of οAEB 2. complement of οAEB 3. x ο½ _________________________ 4. y ο½ ________________________ 5. mοDEC ο½ οοοοοοοοοοοοοοοοο 6. mοAED ο½ _________________ Page 3 of 4 IV. Conditionals: Rewrite the following conditional statements into the converse, inverse and contrapositive forms. Them determine the validity of each statement. If it is false, provide a counterexample. 1. If two angles are adjacent, then they share a common side. Statement: Validity: Converse: Inverse: Contropositive: 2. If two angles are vertical, then they are congruent. Statement: Validity: Converse: Inverse: Contropositive: V. Other: Review your Cornell Notes on Notetaking Review answers will be posted online at: http://www.ectorcountyisd.org/site/default.aspx?PageID=33925 or scan the following QR code: Page 4 of 4