Chapter Test For use after Chapter. Which of the following is not an undefined term? A. Point B. Plane C. Line D. Ray. Which of the following is an undefined term? A. Line B. Ray C. Segment D. Intersection 3. If two planes intersect, describe the intersection. A. A point B. A line segment C. A line D. A third plane.. 3. 4. 5. In Exercises 4 6, use the diagram. 6. D g 7a. h 7b. B C 7c. M A F 8. 9. 4. Give two other names for @##$ AB. 5. Give two other names for plane M. 6. Name a point that is not coplanar with A, B, and D. 7. Points L, M, N, and O lie along a line in alphabetical order. The lengths of the segments are as follows: }} LM 5 4, }} MO 5 4, } LN 5 0. a. What is the length of }} MN? b. What is the length of }} NO? c. What is the length of }} LO? 8. The distance from Middle Town to North Town is 85 km. The distance from North Town to South Town is 8 km. If the three towns lie on a straight line with Middle Town in between North Town and South Town, what is the distance from South Town to Middle Town? A. 6.5 km B. 33 km C. 45 km D. 03 km 9. Given points E(, ), P(.75, 6), Q(6.5, 6), and Z(, 5.5). Are the line segments }} EZ and }} PQ congruent? Why? 0. B is the midpoint of line }} RQ. The RB is (x ) units and BQ is (x 7) units. What is the value of x? 0. 86
For use after Chapter. What is the distance between J(, 4) and K(6, )? A. Ï } B. Ï } 3 C. Ï } 5 D. Ï } 9. What are the coordinates of the midpoint of a line segment with endpoints V(6, 8) and W(, 4)? A. (4, 6) B. (, 6) C. (4, ) D. (, ) 3. A line segment on a number line has endpoints 8 and 8. What is the midpoint? 4. Classify the angle as acute, right, obtuse, or straight... 3. 4a. 4b. 4c. M N 4d. L O P 4e. a. /LOP b. /LOM c. /LON d. /MOP e. /NOP f. /MON 5. Ray HJ is inside angle GHI. If /GHI is 80 and the measure of JHI is 37, what is the measure of GHJ? A. 7 B. 90 C. 53 D. 43 6. Angle COP and angle BOP are complementary angles. The measure of /COP is (x + 30), and the measure of /BOP is (x + 9). a. What is the value of x? b. Which angle is larger, /COP or /BOP? c. Classify the larger angle. 7. The measure of /LOM is. ] OM bisects /LON. a. What is the measure of /LON? b. What is the measure of /MON? O L N M 4f. 5. 6a. 6b. 6c. 7a. 7b. 87
For use after Chapter 8. Which pair of angles might be classified as nonadjacent supplementary angles? A. B. 8. 9. 0a. 0b. C. D. 0c. 0d.. 9. A nonadjacent supplementary pair of angles have measures of 3x and (8 x). Give the measures of the two angles. 0. Identify the angle pairs. a. b. C D 3. 4. B A E 5. a. A pair of vertical angles b. A pair of complementary angles c. Two pairs of supplementary angles d. Two angles adjacent to /EAD. A polygon has seven sides. What is it called? A. Nonagon B. Hexagon C. Heptagon D. Decagon. Two interior angles of a regular convex polygon have measures of (8x 40) and (3x 0). a. Find the value of x. b. Find the measure of the angle. 3. A square has a perimeter of 0x. What is its area? 4. The area of a circle is.56 cm. What is its circumference? 5. A triangle has vertices of (6, 8), (7, 4) and (, 3). Find the perimeter. Round your answer to one decimal place. F 88
Chapter Test For use after Chapter. What is the next number in the series? 6, 7.5, 9, 0.5... A..5 B. C. 8 D.. What is the next number in the series? 6, 7 } 3, 9 } 8... A. 0 } 3 3 B. 4 8 } C. 4 } 3 3 D. 3 } 6 3. Name the two parts of a conditional statement. You are given the statement If a figure is a square, then it has four equal sides. Categorize the statement in Exercises 4 6 as one of the following. A. Conditional statement B. Converse C. Inverse D. Contrapositive.. 3. 4. 5. 6. 7. Then determine if the statement is true or false. 4. If a figure is not a square, then it does not have four equal sides. 5. If a figure does not have four equal sides, then it is not a square. 6. If a figure has four equal sides, then it is a square. 7. You are given the statement If two lines in the same plane never meet, then they are parallel. Write the converse statement and the biconditional statement. 8. Which statement is true? A. Deductive reasoning uses specific examples and patterns to form a conjecture. B. Inductive reasoning and deductive reasoning must be used at the same time. C. Deductive reasoning uses facts, definitions, and laws of logic. D. Inductive reasoning uses facts, reasoning, and laws of logic. 8. 89
For use after Chapter 9. State the law of logic that is illustrated below. If you finish your chores this weekend, you will get $0 from your parents. If you earn $8, you will be able to buy the stereo you want. If you finish your chores this weekend, you will be able to buy the stereo you want. 0. State the type of reasoning used in the statement. Explain your answer. For the past 0 years, there have been 5 6 inches of rain in July on Anglana Island. This year, there will be 5 6 inches of rain in July on Anglana Island.. What is the minimum number of points necessary to define a plane? A. B. 3 C. 4 D. 6. Complete the postulate. If two points lie in a plane, then A. the two points lie on intersecting lines. B. the two points lie on parallel lines. C. the line containing them lies in the plane. D. any third point will lie in the same plane. 3. For each statement below, write yes if you can assume the statement is true according to the diagram. Write no if you cannot assume the statement is true. P a. /PST ù /UWV b. /RSU ù /PST c. } RT is parallel to } VX. d. } RT and } PZ are perpendicular. e. } VX and } PZ intersect at W. S R T U X 4. You want to solve the equation 3x 8 5. What is the reason for the first step you would take? A. Subtraction Property of Equality B. Substitution Property of Equality C. Transitive Property of Equality D. Distributive Property W V Z 9. 0... 3a. 3b. 3c. 3d. 3e. 4. 90
For use after Chapter 5. 3(x 9) 5 4. What would be the reason for the first step to solve this equality? A. Reflexive Property of Equality B. Addition Property of Equality C. Substitution Property of Equality D. Division Property of Equality 6. In nabc, m/a = m/b = 60º, and m/b = m/c = 60º. Therefore, m/a must equal m/c by which property? A. Reflexive Property of Equality B. Equality Property of Equality C. Symmetric Property of Equality D. Transitive Property of Equality 5. 6. 7. 8. 9. 7. What is the name of a statement that can be proven? A. Conclusion B. Theorem C. Congruence D. Proof 8. On a line, }} AB ù }} BC and }} BC ù }} CD. What else is known, and by which property of congruence? 9. In the diagram below, / is supplemental to / and / is supplemental to /3. Given these statements, which angles are congruent, and by which theorem? 0. Find the values of x and y and of each of the four angles in the diagram below. 5x (4y 8) (7y 6) (x 96) 3 0. 9