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1 answer:
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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;
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>
Answer:
gradient = -
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m =
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = =
= -