Question

In a parallelogram ABCD with diagonal AC, a student has used the Alternate Interior Angles Theorem to show that angle DAC is congruent to angle BCA and that angle BAC is congruent to DCA.

Which of the following can be used to prove the triangles congruent by ASA? (4 points)

TB ≅ TD
DB ≅ DB
AC ≅ DB
AC ≅ AC

Answer 1

AC ≅ AC

Explanation:

A S A ---> Angle Side Angle

∠DAC ≅∠ BCA {Alternate interior angle}

AC ≅ AC {Reflexive property}

∠DCA ≅∠BAC {Alternate interior angle}