3. The third step, ST ~= TS, is not given in the original statement. This step requires additional information or a reasoning process to justify it. Without more information or reasoning, we cannot determine the equality of ST and TS.
4. The fourth step, angle RST ~= angle UTS, follows from the previous steps because corresponding sides of congruent angles are congruent. This is a property of congruent triangles. Therefore, we can conclude that angle RST is congruent to angle UTS.
Short Answer
Note: Your teacher will grade your responses to questions 7–10 to ensure you receive proper credit for your answers.
Justify the last two steps of the proof.
Given: RS~=UT and RT ~= US
Prove: angle RST ~= angle UTS
1. RS~= UT 1. Given
2. RT~= US 2. Given
3. ST ~= TS 3. ?
4. angle RST ~= angle UTS 4. ?
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