Statement | Reason
1. Triangle SHT is a triangle. | Given
2. Line SD splits triangle SHT into two triangles. | Definition of a triangle being split by a line
3. Triangle SHD is a triangle. | Definition of a triangle being split by a line
4. Line SD is perpendicular to line HT. | Given
5. Triangle SHD is a right triangle. | Definition of a right triangle formed by a perpendicular line
6. Triangle STD is a triangle. | Definition of a triangle being split by a line
7. Triangle SHD is congruent to triangle STD. | Given: modifying above upper S upper H with bar congruent to modifying above upper S upper T with bar
8. Triangle SHD = triangle STD. | Definition of congruency
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.
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