Proving Triangle Congruence

Third Quarter Exam 2015 - Math Grade 8 / Third Quarter Exam 2015 - Math Grade 8

Sample Question

Study the given figure.

Which statement, followed by the correct reason, has to be assumed from the figure to start a proof for [% \triangle CDA\cong\triangle CDB %]?

  • [% \overline{AD}\cong\overline{BD} %]; Definition of midpoint.
  • [% \overline{DC}\cong\overline{DC} %]; Reflexive Property.
  • [% \overline{AC}\cong\overline{BC} %]; Definition of congruent segments.
  • [% \angle A\cong\angle B %]; Definition of congruent angles.

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