Geometry Midterm Review Packet Answer Section

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1 Geometry Midterm Review Packet Answer Section 1. ANS: 33, 39 REF: 1-1 Patterns and Inductive Reasoning TOP: 1-1 Example 1 2. ANS: 5 243, REF: 1-1 Patterns and Inductive Reasoning TOP: 1-1 Example 1 3. ANS: 12 REF: 1-1 Patterns and Inductive Reasoning TOP: 1-1 Example 3 4. ANS: B REF: 1-1 Patterns and Inductive Reasoning TOP: 1-1 Example 3 5. ANS: No, the three points are not collinear. REF: 1-3 Points, Lines, and Planes TOP: 1-4 Example 1 6. ANS: FBC REF: 1-3 Points, Lines, and Planes TOP: 1-4 Example 2 7. ANS: collinear REF: 1-3 Points, Lines, and Planes 8. ANS: RS and plane RSU "#! REF: 1-3 Points, Lines, and Planes 9. ANS: "# UY! REF: 1-3 Points, Lines, and Planes TOP: 1-4 Example ANS: BA ""! REF: 1-4 Segments, Rays, Parallel Lines and Planes TOP: 1-4 Example ANS: BD ""! REF: 1-4 Segments, Rays, Parallel Lines and Planes TOP: 1-4 Example ANS: FH, EG, AE, BF REF: 1-4 Segments, Rays, Parallel Lines and Planes TOP: 1-4 Example ANS: AB, CD, GH

2 REF: 1-4 Segments, Rays, Parallel Lines and Planes TOP: 1-4 Example ANS: plane ABDC REF: 1-4 Segments, Rays, Parallel Lines and Planes TOP: 1-4 Example ANS: 12 REF: 1-5 Measuring Segments TOP: 1-5 Example ANS: x = 10, EF = 8, FG = 15 REF: 1-5 Measuring Segments TOP: 1-5 Example ANS: x = 5, ST = 45 REF: 1-5 Measuring Segments TOP: 1-5 Example ANS: D REF: 1-5 Measuring Segments TOP: 1-5 Example ANS: C REF: 1-6 Measuring Angles TOP: 1-6 Example ANS: 64 REF: 1-6 Measuring Angles TOP: 1-6 Example ANS: m!feg = 58, m!heg = 122 REF: 1-6 Measuring Angles TOP: 1-6 Example ANS:!DOC REF: 1-6 Measuring Angles TOP: 1-6 Example ANS: 180; 90 REF: 1-6 Measuring Angles TOP: 1-6 Example ANS: 65 REF: 1-6 Measuring Angles TOP: 1-6 Example ANS: x = 10, m!lmn = 114 REF: 1-7 Basic Constructions TOP: 1-7 Example ANS: 7.8

3 REF: 1-8 The Coordinate Plane TOP: 1-8 Example ANS: (7, 6) REF: 1-8 The Coordinate Plane TOP: 1-8 Example ANS: (8, 6) REF: 1-8 The Coordinate Plane TOP: 1-8 Example ANS: A REF: 3-1 Properties of Parallel Lines TOP: 3-1 Example ANS: D REF: 3-1 Properties of Parallel Lines TOP: 3-1 Example ANS: 135 REF: 3-1 Properties of Parallel Lines TOP: 3-1 Example ANS: 2 REF: 3-1 Properties of Parallel Lines TOP: 3-1 Example ANS: C REF: 3-1 Properties of Parallel Lines 34. ANS: A REF: 3-2 Proving Lines Parallel TOP: 3-2 Example ANS: 90 REF: 3-3 Parallel and Perpendicular Lines TOP: 3-3 Example ANS: Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are perpendicular. REF: 2-1 Conditional Statements TOP: 2-1 Example ANS: If a figure is a triangle, then it has three sides. REF: 2-1 Conditional Statements TOP: 2-1 Example ANS: D REF: 2-1 Conditional Statements TOP: 2-1 Example ANS: The number is divisible by 3. REF: 2-1 Conditional Statements TOP: 2-1 Example ANS: If the coordinates of a point are positive, then the point is in the first quadrant. REF: 2-1 Conditional Statements TOP: 2-1 Example ANS: One statement is false. If two lines do not intersect, they could be skew. REF: 2-2 Biconditionals and Definitions TOP: 2-2 Example ANS: Both statements are true. An angle is a right angle if and only if its measure is 90.

4 REF: 2-2 Biconditionals and Definitions TOP: 2-2 Example ANS: If I drink juice, then it is breakfast time. If it is breakfast time, then I drink juice. REF: 2-2 Biconditionals and Definitions TOP: 2-2 Example ANS: biconditional REF: 2-2 Biconditionals and Definitions TOP: 2-2 Example ANS: counterexample REF: 2-2 Biconditionals and Definitions 46. ANS: not possible REF: 2-3 Deductive Reasoning TOP: 2-3 Example ANS: Smiley is too heavy for the bridge. REF: 2-3 Deductive Reasoning TOP: 2-3 Example ANS: Angle Addition Postulate; Addition Property of Equality REF: 2-4 Reasoning in Algebra TOP: 2-4 Example ANS: a. Given b. Substitution Property c. Subtraction Property of Equality d. Division Property of Equality e. Symmetric Property of Equality REF: 2-4 Reasoning in Algebra 50. ANS: Subtraction Property 51. ANS: B 52. ANS: Symmetric Property 53. ANS: Transitive Property 54. ANS: CD! GH

5 55. ANS: 8x + 3 = ANS: 19 REF: 2-5 Proving Angles Congruent TOP: 2-5 Example ANS: 37 REF: 2-5 Proving Angles Congruent TOP: 2-5 Example ANS: 73 TOP: 3-4 Example ANS: x = 86, y = 67, z = 94 TOP: 3-4 Example ANS: equilateral TOP: 3-4 Example ANS: acute TOP: 3-4 Example ANS: 33 TOP: 3-4 Example ANS: D REF: 3-5 The Polygon Angle-Sum Theorems TOP: 3-5 Example ANS: hexagon REF: 3-5 The Polygon Angle-Sum Theorems TOP: 3-5 Example ANS: 180 REF: 3-5 The Polygon Angle-Sum Theorems TOP: 3-5 Example ANS: x = 114, y = 56

6 REF: 3-5 The Polygon Angle-Sum Theorems TOP: 3-5 Example ANS: D REF: 3-5 The Polygon Angle-Sum Theorems 68. ANS: 73 REF: 3-5 The Polygon Angle-Sum Theorems 69. ANS:!R REF: 9-1 Translations TOP: 9-1 Example ANS: QR REF: 9-1 Translations TOP: 9-1 Example ANS: P!("3, " 8), Q!("6, 4), R!(1, " 1) REF: 9-2 Reflections TOP: 9-2 Example ANS: P!(2, " 4), Q!("2, " 5), R!(1, " 8) REF: 9-2 Reflections TOP: 9-2 Example ANS: D REF: 9-2 Reflections TOP: 9-2 Example ANS: (x, y) ( x, y) REF: 9-2 Reflections TOP: 9-2 Example ANS: 240 REF: 9-3 Rotations TOP: 9-3 Example ANS: 120 REF: 9-3 Rotations TOP: 9-3 Example ANS: 72 REF: 9-3 Rotations TOP: 9-3 Example ANS:!UVW REF: 9-6 Compositions of Reflections TOP: 9-6 Example ANS: rotational REF: 9-4 Symmetry TOP: 9-4 Example ANS: reflectional REF: 9-4 Symmetry TOP: 9-4 Example ANS:

7 120 REF: 9-4 Symmetry TOP: 9-4 Example ANS: 3 REF: 9-4 Symmetry TOP: 9-4 Example ANS: A REF: 9-4 Symmetry TOP: 9-4 Example ANS: B REF: 9-4 Symmetry TOP: 9-4 Example ANS: 1 2 REF: 9-5 Dilations TOP: 9-5 Example ANS: 8.75 feet REF: 9-5 Dilations TOP: 9-5 Example 2

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