2015 · Q67
If X is any point within a square ABCD and on AX a square AXYZ is described, which of the following is/are correct ?
- 1BX = DZ or BZ = DX
- 2∠ABX=∠ADZ or ∠ ADX=∠ABZ
Select the correct answer using the code given below:
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Rotation about A sends triangle ABX onto ADZ (AB = AD, AX = AZ, included angles equal), so BX = DZ and angleABX = angleADZ; both statements hold. Hence option (c).