Question

Which postulate or theorem, if any, could you use to prove the two triangles congruent? If not enough information is given, choose not enough information.

The image consists of an isosceles triangle DAC. A segment joins vertex D to base AC at B which makes 90 degrees with base.

A. ASA
B. AAS
C. HL
D. not enough information

Answer 1

Answer: HL

Explanation:

`\overline{BD} \cong \overline{BD}` by the reflexive property, and
`\angle DBC` is a right angle because the supplement of a right angle is a right angle.