Question

Someone help me, please

Answer 1

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) The given coordinates are (2,0) (4,3) and (5,2).

The transformation is $(x,y) -> (x,-y) -> (x-5,y-2)$

For above all points;

$(2,0) -> (2,0) -> (2-5,0-2) -> (-3,-2)$

$(4,3) -> (4,-3) -> (4-5,(-3)-2) -> (-1,-5)$

$(5,2) -> (5,-2) -> (5-5,(-2)-2) -> (0,-4)$

Thus, the transformed points are;

W'(-3,-2)  X'(-1,-5)  Y'(0,-4)

B) 2) It given that OT is perpendicular to AB, thus both ∠BTO and ∠ATO are      equal to 90 degrees.

4) The above statement is given.

5) The reason is T is midpoint, this means statement is regarding lengths of AT and BT.

Since T is midpoint, AT = BT

6) The side OT is contained in both the triangles.

8) Since one right angle is equal, Both lengths are equal and one side is common, the above two triangles are congruent by RHS congruency test.