[{"data":1,"prerenderedAt":131},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Fgeometria\u002Fcongruencia-y-semejanza?{}":3,"topics-with-content:geometria":116},{"course":4,"topic":12,"counts":16,"universities":21,"channels":31,"sampleQuestions":65,"sameName":115},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},3,"geometria","Geometría","Geom.","math","i-lucide-triangle",2,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":11},303,"congruencia-y-semejanza","Congruencia y semejanza",{"topicId":13,"courseId":5,"questions":17,"classes":18,"videos":19,"minutes":20},8,155,109,3293,[22,29],{"universityId":23,"questions":24,"years":25},1,7,[26,27,28],2025,2024,2023,{"universityId":11,"questions":23,"years":30},[28],[32,35,38,41,44,47,50,53,55,57,59,61,63],{"name":33,"classes":34},"Ciclo Uni-San Marcos",37,{"name":36,"classes":37},"Alberto Cruz",34,{"name":39,"classes":40},"Academia ipluton",21,{"name":42,"classes":43},"Academia Grupo Ciencias",19,{"name":45,"classes":46},"Salón Sapiens",14,{"name":48,"classes":49},"Academia Internet",10,{"name":51,"classes":52},"Academias Aduni y César Vallejo",6,{"name":54,"classes":52},"CEPRE UNMSM",{"name":56,"classes":5},"META VILLARREAL",{"name":58,"classes":11},"Saco Oliveros",{"name":60,"classes":23},"Academia_Pitagoras",{"name":62,"classes":23},"Pamer Corporación Educativa",{"name":64,"classes":23},"Trilce Multimedia",[66,92],{"id":67,"courseId":5,"topicId":13,"pastExamId":68,"stem":69,"options":70,"correctKey":78,"explanation":86,"difficulty":87,"status":88,"source":89,"stats":90},575,180,"En un triángulo $ABC$, se traza la ceviana $\\overline{BD}$ ($D$ pertenece al segmento $\\overline{AC}$). En la prolongación del segmento $\\overline{AB}$ se ubica el punto $P$ y se traza el segmento $\\overline{PQ}$ paralelo al segmento $\\overline{BD}$ ($Q$ pertenece al segmento $\\overline{DC}$). Dicha paralela interseca al segmento $\\overline{BC}$ en $M$. Si $AB=18$ cm, $3BM=MC$ y $AD=QC$, entonces calcule la longitud (en cm) del segmento $\\overline{BP}$.",[71,74,77,80,83],{"key":72,"text":73},"A","4",{"key":75,"text":76},"B","5",{"key":78,"text":79},"C","6",{"key":81,"text":82},"D","9",{"key":84,"text":85},"E","3","",4,"published","UNI 2023-1 · Matemática",{"attempts":91,"accuracy":91},0,{"id":93,"courseId":5,"topicId":13,"pastExamId":94,"stem":95,"figures":96,"options":102,"correctKey":75,"explanation":86,"difficulty":87,"status":88,"source":113,"stats":114},4922,246,"En la figura, el pentágono $ABCPD$ representa los límites de una urbanización de viviendas, cuyas calles son $\\overline{BQ}$, $\\overline{QC}$, $\\overline{DC}$, y los triángulos $ABC$ y $PQC$ son congruentes. Si $BC=QC$ y el ángulo que determina $\\overline{AB}$ y $\\overline{AD}$ es 20°, halle $m\\measuredangle ADP$.\n{{figura_1}}",[97],{"marker":98,"src":99,"width":100,"height":101},"{{figura_1}}","\u002Ffiles\u002Fq\u002F5180d82c033abe7e3ddb.webp",498,418,[103,105,107,109,111],{"key":72,"text":104},"115°",{"key":75,"text":106},"110°",{"key":78,"text":108},"120°",{"key":81,"text":110},"100°",{"key":84,"text":112},"105°","UNMSM 2025-I · Área D · Ciencias Económicas y de la Gestión",{"attempts":91,"accuracy":91},[],[117,118,13,119,120,121,122,123,124,125,126,127,128,129,130],301,302,304,305,306,307,308,309,310,311,312,313,314,315,1791501527140]