In ΔABC shown below, ∠BAC is congruent to ∠BCA:Given: Base ∠BAC and ∠ACB are congruent. Prove: ΔABC is an isosceles triangle. When completed (fill in the blanks), the following paragraph proves that Line segment AB is congruent to Line segment BC making ΔABC an isosceles triangle. Construct a perpendicular bisector from point B to Line segment AC. Label the point of intersection between this perpendicular bisector and Line segment AC as point D: m∠BDA and m∠BDC is 90° by the definition of a perpendicular bisector. ∠BDA is congruent to ∠BDC by the _1_. is congruent to Line
The image http://learnft.flvs.net/webdav/assessment_images/educator_geometry_v16/1001_G3_Q1_a.gif
And the answer choices: the definition of congruent angles Angle-Side-Angle (ASA) Postulate the definition of congruent angles the definition of a perpendicular bisector Angle-Side-Angle (ASA) Postulate the definition of a perpendicular bisector Angle-Side-Angle (ASA) Postulate corresponding parts of congruent triangles are congruent (CPCTC)
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