{"id":18635,"date":"2023-07-04T11:18:06","date_gmt":"2023-07-04T11:18:06","guid":{"rendered":"https:\/\/www.greatassignmenthelp.com\/questions\/?p=18635"},"modified":"2023-12-21T06:22:18","modified_gmt":"2023-12-21T06:22:18","slug":"what-is-the-missing-step-in-this-proof","status":"publish","type":"post","link":"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-missing-step-in-this-proof\/","title":{"rendered":"What is the missing step in this proof?"},"content":{"rendered":"
\n

A. \u2220ABC \u2245 \u2220DBE<\/span><\/span><\/p>\n

B. \u2220BCA \u2245 \u2220BDE<\/span><\/span><\/p>\n

C. \u2220ACB \u2245 \u2220DEB<\/span><\/span><\/p>\n

D. \u2220BDE \u2245 \u2220ADE<\/span><\/span><\/p>\n

E. \u2220CAB \u2245 \u2220DAC<\/span><\/span><\/p>\n<\/div>\n

\n
\n
\n

\"\"<\/p>\n

Answer:-\u00a0<\/strong>The missing step in the proof is A. \u2220ABC \u2245 \u2220DBE.<\/p>\n

Given:<\/p>\n

    \n
  • AB is a transversal<\/li>\n
  • DE is parallel to AC<\/li>\n<\/ul>\n

    Prove:<\/p>\n

      \n
    • \u2220ABC \u2245 \u2220DBE<\/li>\n<\/ul>\n\n\n\n\n\n\n\n
      Statement<\/td>\nReason<\/td>\n<\/tr>\n
      AB is a transversal<\/td>\nDefinition of transversal<\/td>\n<\/tr>\n
      DE is parallel to AC<\/td>\nGiven<\/td>\n<\/tr>\n
      \u2220ABC and \u2220DBE are alternate interior angles<\/td>\nAlternate interior angles are congruent when lines are parallel<\/td>\n<\/tr>\n
      \u2220ABC \u2245 \u2220DBE<\/td>\nCongruence postulate<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      The other answer choices are incorrect because they are not true. For example, \u2220BCA is not congruent to \u2220BDE because they are not corresponding angles. \u2220ACB is not congruent to \u2220DEB because they are not alternate interior angles. \u2220BDE is not congruent to \u2220ADE because they are not vertical angles. \u2220CAB is not congruent to \u2220DAC because they are not supplementary angles.<\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      A. \u2220ABC \u2245 \u2220DBE B. \u2220BCA \u2245 \u2220BDE C. \u2220ACB \u2245 \u2220DEB D. \u2220BDE \u2245 \u2220ADE E. \u2220CAB \u2245 \u2220DAC Answer:-\u00a0The missing step in the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[],"yoast_head":"\nWhat is the missing step in this proof?<\/title>\n<meta name=\"description\" content=\"What is the missing step in this proof?\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-missing-step-in-this-proof\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the missing step in this proof?\" \/>\n<meta property=\"og:description\" content=\"What is the missing step in this proof?\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.greatassignmenthelp.com\/questions\/what-is-the-missing-step-in-this-proof\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions - 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