In the drawing,
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Elementary Geometry For College Students, 7e
- Refer to the prisms of Exercises 1 and 2. Which of these have symmetry with respect to a point?arrow_forwardIn 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_forwardIn 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_forward
- For 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_forwardFor a given triangle such as ABC, what word describes the point of concurrency for athe three perpendicular bisectors of sides? bthe three altitudes?arrow_forwardIn 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_forward
- In the drawing, suppose that ZX is the perpendicular bisector of WY. What type of quadrilateral is WXYZ?arrow_forwardUse the result of Exercise 13 to do the following problem. In MNPQ, QP=12 and QM=9. The length of altitude QR to side MN is 6. Find the length of altitude QS from Q to PN.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_forward
- Given: Isosceles ABE with AEBE; also, D and C are midpoints of AE and BE, respectively. Prove: ABCD is an isosceles trapezoid. Exercises 17, 18arrow_forwardReview Exercises In trapezoid MNOP, MN-PO- and R and S are the mid-points of MP- and NO- respectively. Find the lengths of the bases if RS=15, MN=3x+2, and PO=2x-7.arrow_forwardGiven: ABCD not shown with AB = 8 and BC = 6; M and N are the midpoints of sides ABandBC, respectively. Find: MNarrow_forward
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