Question

Construction of a $\Delta A^{\prime }{C}^{\prime }B$ similar to $\Delta ACB$ is shown in the figure below, which condition is used to construct $A^{\prime }{C}^{\prime }$ ||$AC$?

• A. Corresponding angles are equal
• B. Alternate interior angles are equal
• C. Co-interior angles are supplementary
• D. Perpendicular bisector theorem

Answer 1

The correct option is A Corresponding angles are equal

Here we construct $A^{\prime }{C}^{\prime }||AC$ by making $\angle A^{\prime }{C}^{\prime }B=\angle ACB$ and we used the corresponding angle property (if corresponding angles of two lines are equal, then the lines are parallel).