Describe a mathematical system (MBGE-Illa-1) 1. Which of the folowing describes a mathematical system? A. undefined...
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Describe a mathematical system (MBGE-Illa-1) 1. Which of the folowing describes a mathematical system? A. undefined terms defined terms- postulates-theorems B. theorems defined terms + postulates- undefined terms - - C. defined terms D. postulates 2. Which of the following statements is NOT true? + undefined terms undefined terms - theorems postulates + defined terms theorems A. If two lines intersect, then their intersection is a point. B. Every plane contains at least 3 non-collinear points C. Every line contains at least two points. D. Two points are contained in an infinite number of lines. 3. Which of the following are identified as the three undefined terms which are the building blocks of geometry? A. point, segment and line B. point, line and plane C. segment, ray and line D. angle, side and triangle llustrates the need for an axiomatic structure of a mathematical system in general, and in Geometry in particular. (a) defined terms, (b) undefined terms, (c) postulates and (d) theorems. (M8GE-Illa-c-1) 4. "A postulate is a statement that is accepted without deductively." What completes this comparison? while a theorem is accepted after it is proved A. definition B. proof C. argument D. property 5. Which is an example of a postulate? A. Definition of a midpoint 6. Which mathematical system best illustrates the definition of a right triangle? B. SSS Congruence C. Vertical Angle D. CPCTC A. undefined terms and defined terms C. undefined terms and postulates B. undefined terms and theorems D. postulates and theorems illustrate triangle congruence (M8GE-Illd-1) 7. Which congruence statement is true for the triangles shown in the diagram? A. AJKL = AMPN B. ALJK = APMN C. AKJL = ANPM D. AKLJ = AMNP Describe a mathematical system (MBGE-Illa-1) 1. Which of the folowing describes a mathematical system? A. undefined terms defined terms- postulates-theorems B. theorems defined terms + postulates- undefined terms - - C. defined terms D. postulates 2. Which of the following statements is NOT true? + undefined terms undefined terms - theorems postulates + defined terms theorems A. If two lines intersect, then their intersection is a point. B. Every plane contains at least 3 non-collinear points C. Every line contains at least two points. D. Two points are contained in an infinite number of lines. 3. Which of the following are identified as the three undefined terms which are the building blocks of geometry? A. point, segment and line B. point, line and plane C. segment, ray and line D. angle, side and triangle llustrates the need for an axiomatic structure of a mathematical system in general, and in Geometry in particular. (a) defined terms, (b) undefined terms, (c) postulates and (d) theorems. (M8GE-Illa-c-1) 4. "A postulate is a statement that is accepted without deductively." What completes this comparison? while a theorem is accepted after it is proved A. definition B. proof C. argument D. property 5. Which is an example of a postulate? A. Definition of a midpoint 6. Which mathematical system best illustrates the definition of a right triangle? B. SSS Congruence C. Vertical Angle D. CPCTC A. undefined terms and defined terms C. undefined terms and postulates B. undefined terms and theorems D. postulates and theorems illustrate triangle congruence (M8GE-Illd-1) 7. Which congruence statement is true for the triangles shown in the diagram? A. AJKL = AMPN B. ALJK = APMN C. AKJL = ANPM D. AKLJ = AMNP
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