In Exercises 11 to 16, the drawing shows trapezoid ABCD with
Exercises 11-16
Given:
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Elementary Geometry for College Students
- In Exercises 11 to 16, the drawing shows trapezoid ABCD with ABDC ; also, M and N are midpoints of AD and BC , respectively. Exercises 11-16 Given: AB=x+3y+4 and DC=3x+5y2. Find: MN, in terms of xandy.arrow_forwardIn Exercises 11 to 16, the drawing shows trapezoid ABCD with ABDC ; also, M and N are midpoints of AD and BC , respectively. Exercises 11-16 Given: AB=6x+5, DC=8x1. Find: MN, in terms of x.arrow_forwardIn Exercises 9 to 28, use the drawings as needed to answer the following questions. Exercises 1417 Given: M is the midpoint of AB AM=2x+1 and MB=3x2 Find: x and AMarrow_forward
- In Exercises 9 to 28, use the drawings as needed to answer the following questions. Exercises 1417 Given: M is the midpoint of AB AM=2(x+1) and MB=3(x2) Find: x and ABarrow_forwardIn Exercises 11 to 16, the drawing shows trapezoid ABCD with ABDC ; also, M and N are midpoints of AD and BC , respectively. Exercises 11-16 Given: AB=8.2andMN=9.5 Find: DCarrow_forwardIn Exercises 9 to 28, use the drawings as needed to answer the following questions. Name three points that appear to be a collinear b noncollinear. Exercises 9, 10arrow_forward
- In Exercises 1 to 17, complete an analytic proof for each theorem. The diagonals of an isosceles trapezoid are equal in length.arrow_forwardFor Exercises 9 and 10, consider isosceles trapezoid RSTV with RSVT , and midpoints M, N, P, and Q of the sides. Would RSTV have symmetry with respect to a MP? b QN? Exercises 9, 10arrow_forwardIn Exercises 9 to 28, use the drawings as needed to answer the following questions. Exercises 1417 Given: AM=2x+1, MB=3x+2, and AB=6x4 Find: x and ABarrow_forward
- In Exercises 15 to 18, consider rhombus ABCD with diagonals ACandDB. When the answer is not a whole number, leave a square root answer. Exercises 15 18 If AE = 5 and DE = 4, find AD.arrow_forwardIn Exercises 9 to 28, use the drawings as needed to answer the following questions. Suppose that points A, B, and C are collinear and ABAC. Which point can you conclude cannot lie between the other two?arrow_forwardFor Exercises 9 and 10, consider isosceles trapezoid RSTV with RSVT , and midpoints M, N, P, Q of the sides. Does a QN=12(RS+VT)?. b MP=12(RV+ST)?. Exercises 9, 10arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning