Question

PLEASE I NEED HELP, ILY ILL GIVE 30 POINTS

Answer 1

Answer:

Question 1:

The angles are presented here using Autocad desktop application

The two column proof is given as follows;

Statement                   ${}$                             Reason

S1. Line m is parallel to line n       ${}$            R1. Given

S2. ∠1 ≅ ∠2                   ${}$                            R2. Vertically opposite angles

S3. m∠1 ≅ m∠2                    ${}$                     R3. Definition of congruency

S4. ∠2 and ∠3 form a linear pear      ${}$      R4. Definition of a linear pair

S5. ∠2 is supplementary to ∠3 ${}$      R5. Linear pair angles are supplementary

S6. m∠2 + m∠3 = 180°              ${}$                Definition of supplementary angles

S7. m∠1 + m∠3 = 180°              ${}$                 Substitution Property of Equality  

S8. ∠1 is supplementary to ∠3           ${}$      Definition of supplementary angles

Question 2:

(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal

(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal

(c) The property of a rhombi that is also a property of a square is that all the sides of a rhombi are equal

(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular

(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal

Step-by-step explanation: