2012 · Q94
In the figure angle ABC = angle AED = 90 degrees. Consider the following statements:
- 1ABC and ADE are similar triangles.
- 2The four points B, C, E and D may lie on a circle.
Which of the above statements is/are correct?
Elementary MathematicsGeometry
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Triangles ABC and ADE share angle A with right angles, hence similar; also angle DBC = angle DEC = 90 degrees, so B, C, E, D are concyclic with DC as diameter.