In Exercises 11 to 16, the drawing shows trapezoid ABCD with
Exercises 11-16
Given:
Find: MN, in terms of
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Chapter 4 Solutions
Elementary Geometry For College Students, 7e
- In the figure, abc and B is the midpoint of AC. If AB=2x+3, BC=x+7 and DE=3x+2, Find the length of EF. Exercises 25, 26arrow_forwardExplain how the figure below illustrates the Pythagorean Theorem for a triangle with legs of length 3 and 4arrow_forwardGiven: D is the midpoint of AC ACBC CD=2x+5 BC=x+28 Find: ACarrow_forward
- In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x.arrow_forwardLet AB=a and BC=b. Point M is the midpoint of BC. If AN=23(AB), find the length of NM in terms of a and b.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=2(x+1) and MB=3(x2) Find: x and ABarrow_forward
- a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.arrow_forwardGeneralize your findings in Exercise 33. 33. Can you use the construction for the midpoint of a segment to divide a line segment into a three congruent parts? c six congruent parts? b four congruent parts? d eight congruent parts?arrow_forward
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