Use a two-column proof to prove the following theorem:
“The lengths of the corresponding altitudes of similar
Given:
Prove:
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Chapter 5 Solutions
Elementary Geometry For College Students, 7e
- 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_forwardProve by the indirect method: Given: Scalene XYZ in which ZW bisects XZY point W lies on XY. Prove: ZW is not perpendicular to XYarrow_forwardGiven: RST, with XYRT and YZRS Prove: RXXS=ZTRZarrow_forward
- Use the result of Exercise 13 to do the following problem. In ABCD, AB=7 and BC=12. The length of altitude AF to side BC is 5. Find the length of altitude AE from A to DC.arrow_forwardGiven: Quadrilateral RSTV with diagonals RT and SV intersecting at W Prove: m1+m2=m3+m4arrow_forwardGiven: B is the midpoint of AC BDAC Prove: ADC is isoscelesarrow_forward
- Consider regular pentagon RSTVQ not shown. Given that diagonals QT and VR intersect at point F, show that VFFR=TFFQ.arrow_forwardFor concave pentagon ABCDE, find the measure of the reflex angle at vertex E if mA=mD=x, mB=mC=2x, and mE=4x. HINT: E is the indicated reflex angle.arrow_forwardGiven: l1l2l3,AB=4,BC=5,DE=x,EF=12x Find: x,DE,EFarrow_forward
- In concave quadrilateral ABCD, the angle at A measures 40. ABD is isosceles, BC bisects ABD, and DC bisects ADB. What are the measures of ABC, ADC, and 1?arrow_forwardGiven: AB and AC in plane P as shown AD intersects P at points A CABDAC DACDAB What can you conclude?arrow_forwardGiven: MR bisects NMP, MN=2x,NR=x, RP=x+1, and MP=3x1 Find: xarrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage