Question

Can someone check this out to see if I have this correct? If not can you help me out please? Thank you! The answers are on 2nd page.

Answer 1

Answer:

Answer 1; Angles forming a linear sum to 180°

Answer 2; Substitution

Answer 3; Definition of perpendicular lines

Step-by-step explanation:

The two column proof is presented as follows;

Statement  ${}$                               Reason

1. ∠SWT ≅ ∠TWU ${}$                    Given

2. m∠SWT + m∠TWU = 180°  ${}$  Angles forming a linear sum to 180°

3. m∠SWT + m∠SWT = 180° ${}$    Substitution

4. m∠SWT = 90°  ${}$                      Algebra

5. $\underset{TV}{\leftrightarrow }$⊥ $\underset{SU}{\leftrightarrow }$ ${}$                                  Definition of perpendicular lines

Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines $\underset{TV}{\leftrightarrow }$ and $\underset{SU}{\leftrightarrow }$ m∠SWT = 90°, therefore, the lines $\underset{TV}{\leftrightarrow }$ and $\underset{SU}{\leftrightarrow }$ are perpendicular to each other.