Multiple choice general knowledge math & puzzles

A given triangle ABC is isosceles. Angle B and angle C are the base angles. From B, a perpendicular 'BD' is drawn to cut AC at point D. From C, a perpendicular 'CE' is drawn to cut AB at point E. State which of the following pairs of triangles are similar.

  1. DBC ~ AEC

  2. BDC ~ AEB

  3. BDC ~ CEB

  4. CDB ~ BCA

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In triangles BDC and CEB, both have a 90-degree angle (at D and E), share the base BC, and have equal base angles (angle C = angle B) because triangle ABC is isosceles. By AA similarity, BDC ~ CEB.