Chapter 2 Test Review
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1 Chapter 2 Test Review 1. If then what are and The diagram is not to scale. A., C., B., D., 2. How are the two angles related? Drawing not to scale A. supplementary C. vertical B. adjacent D. complementary 3. Name an angle supplementary to A. B. C. D.
2 4. Name an angle complementary to A. B. C. D. 5. Name an angle vertical to D E F G H I J A. B. C. D. 6. Name an angle adjacent to D E F G H I J A. B. C. D.
3 7. Supplementary angles are two angles whose measures have a sum of. Complementary angles are two angles whose measures have a sum of. A. 90; 180 B. 90; 45 C. 180; 360 D. 180; In the figure shown,. Which of the following statements is false? Not drawn to scale A. B. BEC and AED are vertical angles. C. AEB and BEC are vertical angles. D. 9. The complement of an angle is 53. What is the measure of the angle? A. 37 B. 137 C. 47 D and are complementary angles. m =, and m =. Find the measure of each angle. A. = 48, = 42 C. = 46, = 44 B. = 48, = 52 D. = 46, = and are a linear pair., and. Find the measure of each angle. A. C. B. D. 12. Identify the hypothesis and conclusion of this conditional statement: If two lines intersect at right angles, then the two lines are perpendicular. A. Hypothesis: The two lines are perpendicular. Conclusion: Two lines intersect at right angles. B. Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are perpendicular. C. Hypothesis: The two lines are not perpendicular. Conclusion: Two lines intersect at right angles. D. Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are not perpendicular. 13. Another name for an if-then statement is a. Every conditional has two parts. The part following if is the, and the part following then is the. A. conditional; conclusion; hypothesis C. conditional; hypothesis; conclusion B. hypothesis; conclusion; conditional D. hypothesis; conditional; conclusion
4 14. Write this statement as a conditional in if-then form: All triangles have three sides. A. If a triangle has three sides, then all triangles have three sides. B. If a figure has three sides, then it is not a triangle. C. If a figure is a triangle, then all triangles have three sides. D. If a figure is a triangle, then it has three sides. 15. Draw a Venn diagram to illustrate this conditional: Cars are motor vehicles. A. C. Motor vehicles Cars Cars Motor vehicles B. D. Motor vehicles Cars Cars Motor vehicles 16. What is the converse of the following conditional? If a point is in the fourth quadrant, then its coordinates are negative. A. If a point is in the fourth quadrant, then its coordinates are negative. B. If a point is not in the fourth quadrant, then the coordinates of the point are not negative. C. If the coordinates of a point are not negative, then the point is not in the fourth quadrant. D. If the coordinates of a point are negative, then the point is in the fourth quadrant. 17. What is the converse of the following true conditional? If the converse is true, rewrite the statements as a biconditional. If either is false, give a counterexample. If two lines are parallel, they do not intersect. 18. When a conditional and its converse are true, you can combine them as a true. A. counterexample C. unconditional B. biconditional D. hypothesis 19. Determine whether the conditional and its converse are both true. If both are true, combine them as a biconditional. If either is false, give a counterexample. If an angle is a right angle, its measure is 90. If an angle measure is 90, the angle is a right angle.
5 20. Write the two conditional statements that make up the following biconditional. I drink juice if (and only if) it is breakfast time. A. I drink juice if (and only if) it is breakfast time. It is breakfast time if (and only if) I drink juice. B. If I drink juice, then it is breakfast time. If it is breakfast time, then I drink juice. C. If I drink juice, then it is breakfast time. I drink juice only if it is breakfast time. D. I drink juice. It is breakfast time. 21. Is the following definition of dog reversible? If yes, write it as a true biconditional. A dog is a mammal. A. The reverse is false. B. The reverse is true. An animal is a dog if (and only if) it is a mammal. C. The reverse is true. An animal is a mammal if (and only if) it is a dog. D. The reverse is true. If an animal is a dog, then it is a mammal. 22. Is the statement a good definition? If not, find a counterexample. A square is a figure with two pairs of parallel sides and four right angles. A. The statement is a good definition. B. No; a rhombus is a counterexample. C. No; a rectangle is a counterexample. D. No; a parallelogram is a counterexample. 23. One way to show that a statement is NOT a good definition is to find a. A. converse C. biconditional B. conditional D. counterexample 24. What is the value of x? (8x 8) (7x + 8) Drawing not to scale A. 16 B. 120 C. 60 D. 16
6 25. What is the value of x? (2x + 24)º 144º Drawing not to scale A. 84 B. 36 C. 120 D Find Drawing not to scale A. 150 B. 30 C. 160 D Find the values of x and y. A. x = 15, y = 17 C. x = 68, y = 112 B. x = 112, y = 68 D. x = 17, y = 15
7 28. Write the conditional statement that the Venn diagram illustrates. Quadrilaterals Squares 29. Is the following conditional true or false? If it is true, explain why. If it is false, give a counterexample. If it is snowing in Dallas, Texas, then it is snowing in the United States. 30. What is the converse and the truth value of the converse of the following conditional? If an angle is a right angle, then its measure is 90. A. If an angle is not a right angle, then its measure is 90. False B. If an angle is not a right angle, then its measure is not 90. True C. If an angle has a measure of 90, then it is a right angle. False D. If an angle has a measure of 90, then it is a right angle. True 31. Write the converse of the given true conditional and decide whether the converse is true or false. If the converse is true, combine it with the conditional to form a true biconditional. If the converse is false, give a counterexample. If the probability that an event will occur is 0, then the event is impossible to occur. 32. Write the two conditional statements that form the given biconditional. Then decide whether the biconditional is a good definition. Explain. Three points are collinear if and only if they are coplanar
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Lesson 2-1 Patterns Find the next two terms in each sequence. 1. 12, 17, 22, 27, 32,... 2. 1, 1.1, 1.11, 1.111, 1.1111,... 3. 5000, 1000, 200, 40,... 4. 1, 12, 123, 1234,... 5. 3, 0.3, 0.03, 0.003,...
2. In ABC, the measure of angle B is twice the measure of angle A. Angle C measures three times the measure of angle A. If AC = 26, find AB.
2009 FGCU Mathematics Competition. Geometry Individual Test 1. You want to prove that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex. Which postulate/theorem
1 st Preparatory. Part (1)
Part (1) (1) omplete: 1) The square is a rectangle in which. 2) in a parallelogram in which m ( ) = 60, then m ( ) =. 3) The sum of measures of the angles of the quadrilateral equals. 4) The ray drawn
Name: Class: Date: 5. If the diagonals of a rhombus have lengths 6 and 8, then the perimeter of the rhombus is 28. a. True b.
Indicate whether the statement is true or false. 1. If the diagonals of a quadrilateral are perpendicular, the quadrilateral must be a square. 2. If M and N are midpoints of sides and of, then. 3. The
NCERT Solutions for Class 7 Maths Chapter 14
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Class 7 Chapter 14 Symmetry Exercise 14.1, 14.2, 14.3 Solutions Exercise 14.1 : Solutions of Questions on Page Number : 268 Q1 : Copy the figures with
1) Use the figure below to name the following figures: 2) Identify the plane containing D, E, and C. 3) Two lines cross at. 4) Two planes cross at
Geometry Semester 1 Final Exam Mixed Review Name: 1) Use the figure below to name the following figures: 2) Identify the plane containing D, E, and C. a) line b) ray c) Opposite rays d) Only adjacent angles
Geometry Final Review. Chapter 1. Name: Per: Vocab. Example Problems
Geometry Final Review Name: Per: Vocab Word Acute angle Adjacent angles Angle bisector Collinear Line Linear pair Midpoint Obtuse angle Plane Pythagorean theorem Ray Right angle Supplementary angles Complementary
Name: Date: Period: ID: REVIEW CH 1 TEST REVIEW. 1. Sketch and label an example of each statement. b. A B. a. HG. d. M is the midpoint of PQ. c.
Name: Date: Period: ID: REVIEW CH 1 TEST REVIEW 1 Sketch and label an example of each statement a HG b A B c ST UV d M is the midpoint of PQ e Angles 1 and 2 are vertical angles f Angle C is a right angle
A. 180 B. 108 C. 360 D. 540
Part I - Multiple Choice - Circle your answer: 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C. eight D. ten 3. The sum of the interior