Question

Question

Short Answer

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: SD upside down t HT ; SH wingle = ST
Prove: triangle SHD = triangle STD

Shape: Triangle HST is split into two triangles by vertical line SD.
statement reason
2. Angle SDH and Angle SDT are right angle s 2.?
3. SH ~= ST 3. ?
4. ? 4. Reflexive Property
5. triangle SHD ~= STD 5. ?

Answer 1

2. Angle SDH and Angle SDT are right angles. Given: "SD upside down t HT" (meaning triangle SDH is congruent to triangle SDT)
3. SH ~= ST. Given: "SH wingle = ST" (meaning segment SH is congruent to segment ST)
4. SH ~= SH. Reflexive Property of Congruence (Any segment is congruent to itself)
5. triangle SHD ~= STD. Angle-Side-Angle (ASA) Congruence Theorem (If two angles and the included side of one triangle are congruent to the corresponding angles and included side of another triangle, then the two triangles are congruent)