Question

Select the correct answer. in a right angle triangle abc, a line from b intersects the point d which is the mid point of ac. which statement is necessarily true if is an altitude to the hypotenuse of right ? a. ? b. c. d. ?bac ? ?bdc

Answer 1

The correct answer is d. BAC ≅ ∠BDC.

How and why to ascertain this

The angles across from the legs of a right triangle are congruent. BD separates the hypotenuse into two segments, AD and DC, because it is an altitude to the hypotenuse. Angles ∠BAC and ∠BDC are both right angles since BD is perpendicular to AC. As a result, the angles ∠BAC and ∠BDC are equivalent (≅).

The other claims might not all be accurate. Triangles ADB and BDC, for instance, are not always congruent, and AB/BC is not always equivalent to AC/BD.