Your teacher will grade your responses to questions 6–9 to ensure that you receive proper credit for your answers.
Complete the proof by providing the missing statement and reasons.
Given: modifying above upper S upper D with bar perpendicular to modifying above upper H upper T with bar; modifying above upper S upper H with bar congruent to modifying above upper S upper T with bar
Prove:triangleSHD = triangleSTD
Triangle HST is split into two triangles by vertical line SD.A triangle is split into two triangles by vertical line SD. The vertex at the bottom left is labeled H. The vertex at the bottom right is labeled T. The vertex at the top in the middle is labeled S. The vertical line down the middle of the triangle starts at point S and ends on line segment HT at a point labeled D. Line segments HS and ST are marked as congruent.
The image of a two column proof is shown. The left column is titled Statement, and the right column is titled Reason.
In the first column under Statement are the following statements from top to bottom:
modifying upper S upper D with bar perpendicular to modifying above upper H upper T with bar
angle upper S upper D upper H and angle upper S upper D upper T are right angle signs.
modifying above upper S upper H with bar congruent to modifying above upper S upper T with bar
modifying below question mark with bar
triangle upper S upper H upper D congruent to triangle upper S upper T upper D
In the second column under Reason are the following statements from top to bottom:
Given
modifying below question mark with bar
modifying below question mark with bar
Reflexive Property
modifying below question mark with bar
(4 points)
Statement: triangleSHD = triangleSTD
Reason: CPCTC (Corresponding Parts of Congruent Triangles are Congruent)