Compete the proof by providing the missing statement and reasons. given sd pependicular ht; sh = st prove shd = std

Since they are perpendicular to each other, hd = st. These are the bases of Δshd and Δstd. Then, it is already given that sh = st. Another congruent measurement, is the ∠sdt and ∠sdh, since they both have 90-degree angles. Hence, you can prove they are congruent by the Side-Angle-Side (SAS) postulate.