Concept explainers
a) Find the length of the median from
b) Find the slope of the altitude from
c) Find the slope of a line through
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Elementary Geometry For College Students, 7e
- In trapezoid RSTV of Exercise 13, RSVT and MN is the median, Find x if VT=2x+9,MN=6x13,andRS=15. Exercise 13, 14arrow_forwardCM is the median for ABC from vertex C to side AB. a Name two line segments that must be congruent. _ b Is 1 necessarily congruent to 2?_arrow_forwardDescribe the auxiliary line segment as determined, overdetermined, or underdetermined. a) Through vertex B of ABC, draw ABAC. b) Draw the line that contains A, B, and C. c) Draw the line that contains M, the midpoint of AB.arrow_forward
- Describe the auxiliary line segment as determined, overdetermined, or underdetermined. a Draw the line through vertex C of ABC. b Through vertex C, draw the line parallel to AB. c With M the midpoint of AB, draw CM perpendicular to AB.arrow_forwardWhich type of path straight, curved, circular, or scattered is determined by: a a roller coaster? b a pencil? c a carousel? d darts thrown at a dartboard?arrow_forwardCM is the median for ABC from vertex C to side AB. a Name two line segments that must be congruent. b Is 1 necessarily congruent to 2?.arrow_forward
- Prove that if two lines neither horizontal nor vertical are perpendicular, then the product of their slopes is -1. HINT: See Figure 10.19. You need to show and use the fact that ABC~EDC.arrow_forwardFor isosceles PNQ, the vertices are P-2a,0, N2a,0, and Q0,2b. In terms of a, and b, find the coordinates of the circumcenter of PNQ. The circumcenter is the point of concurrence for the perpendicular bisectors of the sides of a triangle.arrow_forwardIn trapezoid RSTV of Exercise 13, RSVT and MN is the median, Find x if VT=2x+9,MN=6x13,andRS=15. _ Exercise 13, 14arrow_forward
- Which type of path straight, curved, circular or scattered is determined by: a pepper sprinkled on a steak? b a Ferris wheel? c a rule? d the path of a snake?arrow_forwardGiven: A line m and a point T not on m Suppose that you do the following: i Construct a perpendicular line r from T to line m. ii Construct a line s perpendicular to line r at point T. What is the relationship between lines s and m?arrow_forward
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