Answer:
A) W'(-3,-2) X'(-1,-5) Y'(0,-4)
B) 2) Perpendicular angles
4) Given
5) AT = BT
6) Statement : OT = OT
Reason : common side in both the triangles
8) By RHS congruency test
Step-by-step explanation:
A) <em>The given coordinates are (2,0) (4,3) and (5,2).</em>
<em>The transformation is
</em>
For above all points;
![(2,0) -> (2,0) -> (2-5,0-2) -> (-3,-2)](https://tex.z-dn.net/?f=%282%2C0%29%20-%3E%20%282%2C0%29%20-%3E%20%282-5%2C0-2%29%20-%3E%20%28-3%2C-2%29)
![(4,3) -> (4,-3) -> (4-5,(-3)-2) -> (-1,-5)](https://tex.z-dn.net/?f=%284%2C3%29%20-%3E%20%284%2C-3%29%20-%3E%20%284-5%2C%28-3%29-2%29%20-%3E%20%28-1%2C-5%29)
![(5,2) -> (5,-2) -> (5-5,(-2)-2) -> (0,-4)](https://tex.z-dn.net/?f=%285%2C2%29%20-%3E%20%285%2C-2%29%20-%3E%20%285-5%2C%28-2%29-2%29%20-%3E%20%280%2C-4%29)
Thus, the transformed points are;
W'(-3,-2) X'(-1,-5) Y'(0,-4)
B)<em> 2) It given that OT is perpendicular to AB, thus both </em><em>∠BTO and ∠ATO are equal to 90 degrees.</em>
<em>4) The above statement is given.</em>
<em>5) The reason is T is midpoint, this means statement is regarding lengths of AT and BT.</em>
<em>Since T is midpoint, </em><em>AT = BT</em>
<em>6) The side </em><em>OT is contained in both the triangles.</em>
<em>8) Since one right angle is equal, Both lengths are equal and one side is common, the above two triangles are congruent by </em><em>RHS congruency test.</em>