A Quiz: 08.17 Unit 8: Assessmen x * Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : Copyright 2023 School District of Springfield MO. R-12. Copyright claimed in all page content, exclusive of Illustrative Math content A 2023 School Year. Q4-Q4 LA.. Home D Question 1 5 pts Announcements Modules People Grades E Google Drive Discovery Education Desmos Graphing Calculator O Desmos Scientific Calculator Look at A.ABC. Points D, E, and F are the midpoints of their respective sides. Point G is the point of ? concurrency for AD, BE, and CF. Search Which statement about point G is NOT true? Mastery Tracker Point G is the center of a circle that can be inscribed in AABC. O Point G is called the centroid of AABC. O Point G is the center of mass of A A.BC. O BG = 2 . GE D Question 2 5 pts Tech Support Adam has created a triangular table, as shown. Because his table will have only one pedestal leg, he needs to find the balance point of the table top. To do this, he has located the centroid of the tableA Quiz: 08.17 Unit 8: Assessmen x * Course Hero A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA... D Question 2 5 pts Home Announcements Modules - - - - People Grades E Google Drive Discovery Education Desmos Graphing Calculator Adam has created a triangular table, as shown. Because his table will have only one pedestal leg, he O needs to find the balance point of the table top. To do this, he has located the centroid of the table Desmos Scientific top, as shown on the right. However, he is not sure if that point really is the center of mass. ? Calculator How can you prove to Adam that this point really is the center of mass? Search Mastery Tracker Show him that the three medians form three pairs of congruent triangles. O Have him try to balance the table top at that point of concurrency to see if it will balance. Show him that each median is a balance line with equal area on both sides. Therefore, their point of concurrency is the balance point of the triangle. O Show him that the point of concurrency is equidistant from the three vertices of the triangle, and therefore it is the center of mass of the table. D Question 3 5 pts Which of these constructions will NOT result in a point of concurrency? O the three angle bisectors of a triangle O the three midsegments of a triangle the three medians of a triangle O the three perpendicular bisectors of a triangle Tech SupportA Quiz: 08.17 Unit 8: Assessmen x * Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA.. D Question 4 5 pts Home Announcements Modules People Grades E Google Drive Discovery Education Desmos Graphing Calculator O Desmos Scientific ? Calculator In AMNO, points R and T are the midpoints of their respective sides. MT and OR intersect at point C. Search If OC = 4 units and CT = 3 units, what is the length of OR +. MT? Mastery Tracker units D Question 5 5 pts When Devin constructed three angle bisectors of a triangle he had drawn, he was surprised that all three altitudes intersected at one point. What is that point of intersection called? O incenter circumcenter orthocenter O centroid Tech SupportA Quiz: 08.17 Unit 8: Assessmen x * Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA.. Home D Question 6 5 pts Announcements Modules (Abe's Market) People Grades E Google Drive Discovery Education Desmos Graphing Calculator O Desmos Scientific M Morgan's Malt Shop ? Calculator (Barb's Beauty Shop) (Curt's Cars) Search Jasmine is studying the map of a city. The city is in the shape of a triangle, and she notes that the Mastery Tracker population is uniformly distributed over the entire area of the city. Her job is to locate a road through the city that will divide the population into two equal parts. The road must start at point A where Abe's Market is located, and it must be perfectly straight. Jasmine drew a line on the map from point A (Abe's Market) to point M, the midpoint of the opposite side of the city where Morgan's Malt Shop is located. How can she prove that this road will divide the city's population into two areas of equal population? O It cannot be proven that this road will divide the city into two areas of equal population. The median divides the town into two congruent triangles, and, because they are congruent, the triangles will have the same area. O The median divides the town into two triangles that have the same base and height, and therefore the triangles will have the same area The median divides the town into two triangles of equal perimeter, and therefore the triangles will have the same area. D Question 7 5 pts Tech Support Destiny wants to construct the three perpendicular bisectors of a certain triangle to see where theA Quiz: 08.17 Unit 8: Assessmen x * Course Hero springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA... D Question 7 5 pts Home Announcements Destiny wants to construct the three perpendicular bisectors of a certain triangle to see where the altitudes will intersect. Modules Which statements are true about this point of concurrency? Select all that apply. People Grades This point of concurrency will lie inside the triangle if the triangle has three acute angles. E Google Drive This point of concurrency will lie outside the triangle if the triangle has three acute angles. Discovery Education This point of concurrency will lie inside the triangle if the triangle has a right angle. Desmos Graphing Calculator This point of concurrency will lie on the triangle if the triangle has a right angle. O Desmos Scientific This point of concurrency will lie inside the triangle if the triangle has an obtuse angle. ? Calculator O This point of concurrency will lie outside the triangle if the triangle has an obtuse angle. Search Mastery Tracker D Question 8 5 pts Which of these statements are true about the incenter of a triangle? Select all that apply. Remember that a statement is only considered true if it is true for all triangles. O The incenter is the point of concurrency of the medians of the triangle. O) The incenter is equidistant from the sides of the triangle. The incenter is the point of concurrency of the angle bisectors of the triangle. The incenter is the center of a circle inscribed in the triangle. O The incenter is the center of a circle that includes the three vertices of the triangle. O The incenter is the center of mass of the triangle. Tech Support D Question 9 5 ptA Quiz: 08.17 Unit 8: Assessmen x * Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA... D Question 9 5 pts Home Announcements Modules People Grades E Google Drive Discovery Education Desmos Graphing Calculator O Desmos Scientific ? Calculator Search Mastery Tracker Isaiah created a pattern with triangles and circles using his school colors as shown. He started with A.ABC, and then he circumscribed a circle about A ABC, which resulted in the largest circle in the pattern. Describe the process Isaiah used to determine the center and radius of the circumscribed circle. He found the point of concurrency of the altitudes as the center and then determined the radius as the distance from this point to any one of the vertices O He found the point of concurrency of the perpendicular bisectors as the center and then determined the radius as the distance from this point to any one of the vertices. He found the point of concurrency of the medians as the center and then determined the radius as the distance from this point to any one of the vertices. He found the point of concurrency of the angle bisectors as the center and then determined the radius as the distance from this point to any one of the vertices. D Question 10 5 pts Tech Support In the diagram, E is the centroid of A.ABC, AD = 7.5 centimeters, AD _ BC and AE ~ BD.A Quiz: 08.17 Unit 8: Assessmen x * Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA.. Home D Question 10 5 pts Announcements Modules In the diagram, E is the centroid of AABC, AD = 7.5 centimeters, AD _ BC and AE ~ BD. People Grades E Google Drive Discovery Education Desmos Graphing Calculator O Desmos Scientific ? Calculator Search Mastery Tracker Calculate the perimeter of A.ABC. The perimeter of A ABC is approximately centimeters. D Question 11 5 pts The table shows the seasons when 7 different students play a sport. Fall Sport Winter Sport Spring Sport Student 1 Student 2 Tech Support Student 3 X Student 4 XA Quiz: 08.17 Unit 8: Assessmen x * Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA.. D Question 11 5 pt Home Announcements The table shows the seasons when 7 different students play a sport. Modules Fall Sport Winter Sport Spring Sport People Student 1 Grades Student 2 E Google Drive Student 3 X Discovery Education Student 4 X Student 5 X Desmos Graphing X Calculator Student 6 x O Student 7 Desmos Scientific ? Calculator One of these seven students will be selected at random. Which of these events describes students Search 1, 4, 5, 6, and 7 without including any of the other students? Mastery Tracker O Plays a fall sport or a spring sport Plays a fall sport and a spring sport O Plays a fall sport and not a winter sport O Does not play a winter sport D Question 12 5 pts Five hundred students are interviewed about their ways to get to school. The results are summarized in the table. Bus Car Other Total Middle School 124 38 5 167 High School 136 185 12 333 Total 260 223 17 500 Select all the statements that must be true about a student chosen at random from those Tech Support interviewed. The probability that the selected student used the bus to get to school under the condition that the student isA Quiz: 08.17 Unit 8: Assessmen x *Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA.. Home Announcements D Question 12 5 pts Modules People Five hundred students are interviewed about their ways to get to school. The results are summarized Grades in the table. E Google Drive Bus Car Other Total Middle School 124 38 5 167 Discovery Education High School 136 185 12 333 Desmos Graphing Total 260 223 17 500 Calculator O Desmos Scientific Select all the statements that must be true about a student chosen at random from those Calculator interviewed ? Search The probability that the selected student used the bus to get to school under the condition that the student is Mastery Tracker in middle school is 500 . O The probability that the selected middle school or high school student used a car to get to school is 500- The probability that the selected student used a car to get to school or is a middle school student is Soo The probability that the selected student used a car or bus to get to school under the condition that the student is in high school is yay The probability that the selected student is in middle school under the condition that the student takes the bus to school is 187 O P(bus | middle school) > P(bus | high school) O P(car)= 500 D Question 13 5 pts Majoring in Business Another Major Administration Tech Support Taken a public speaking class 10 20 Not taken a public speaking class 45 25 One of these 100 students is selected at random t give more detailed answA Quiz: 08.17 Unit 8: Assessmen x * Course Hero springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA... D Question 13 5 pts Home Announcements Majoring in Business Another Major Administration Modules Taken a public speaking class 10 20 People Not taken a public speaking class 45 25 Grades One of these 100 students is selected at random to give more detailed answers to some follow-up E Google Drive questions. Discovery Education What is the probability that the chosen student has taken a public speaking class or is majoring in business administration? Write your answer as a decimal Desmos Graphing Calculator O Desmos Scientific Calculator ? Search Mastery Tracker D Question 14 5 pts Majoring in Business Another Major Administration Taken a public speaking class 10 20 Not taken a public speaking class 45 25 One of these 100 students is selected at random to give more detailed answers to some follow-up questions. Find the value of P(taken a public speaking class | majoring in business administration). O 56 Tech Support D Question 15 5 ptsA Quiz: 08.17 Unit 8: Assessmen X * Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA.. Home O 25 Announcements Modules People D Question 15 5 pts Grades E Google Drive Shrimp are often found in tropical climates and can be raised on farms or caught in the wild. Elena was taking inventory of 1-pound shrimp packages at the end of the day at a seafood market. She Discovery Education recorded the country of origin and whether the package contained shrimp that were farm-raised or Desmos Graphing wild-caught. Calculator . 27 packages of shrimp were farm-raised in Mexico. O Desmos Scientific 40 packages of shrimp were farm-raised in Honduras. Calculator ? . 52 packages of shrimp were farm-raised in Ecuador. Search . 13 packages of shrimp were wild-caught in Mexico. . 6 packages of shrimp were wild-caught in Honduras. Mastery Tracker 28 packages of shrimp were wild-caught in Ecuador. A package of shrimp is selected at random from those inventoried. Are the events "wild-caught" and "came from Honduras" independent? O Dependent Independent D Question 16 5 pts If DL = 24, then DG =? In A JKL, JE, KF, and LD are medians. Tech Support EA Quiz: 08.17 Unit 8: Assessmen x * Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA.. Home D Question 16 5 pts Announcements Modules People If DL = 24, then DG =? Grades In A JKL, JE, KF, and LD are medians. E Google Drive K Discovery Education Desmos Graphing Calculator O Desmos Scientific Calculator E ? Search Mastery Tracker O 12 0 8 0 6 O 24 D Question 17 5 pts X is the centroid of the triangle. If Z X = 3, find AZ. Tech SupportA Quiz: 08.17 Unit 8: Assessmen x * Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA.. Home D Question 17 5 pts Announcements Modules X is the centroid of the triangle. If ZX = 3, find AZ. People Grades E Google Drive Discovery Education Desmos Graphing Calculator O Desmos Scientific 0 3 ? Calculator Search 09 Mastery Tracker 12 D Question 18 5 pts What is the probability that the person picked will be a boy given they speak German? Spanish French German Total Boys 10 2 8 20 Girls 15 12 3 30 Total 25 14 11 50 O 0.7273 O 0.4 O 0.16 O 0.22 Tech SupportA Quiz: 08.17 Unit 8: Assessmen x * Course Hero C A springfieldpublicschools.instructure.com/courses/1715684/quizzes/7578735/take G Update : A 2023 School Year. Q4-Q4 LA.. Home D Question 19 5 pts Announcements Modules What is the probability that a female is chosen given they like Toyota? People Grades Honda Toyota Total Male 17 10 27 E Google Drive Female 19 21 40 Discovery Education Total 36 31 67 Desmos Graphing Calculator O O 0.525 Desmos Scientific ? Calculator O 0.4627 Search O 0.6774 Mastery Tracker O 0.3143 D Question 20 5 pts Sam is fishing in a new pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. What is the probability that he caught a bluegill or a carp? Simplify. 1/40 O 1/8 O 3/124 O 5/16 Tech Support Quiz saved at 1:41am Submit Quiz