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Tatiana [17]
11 months ago
9

The directions are with the pic below. It’s another pic coming. Couldn’t fit everything on the same page

Mathematics
1 answer:
Valentin [98]11 months ago
3 0

Answer:

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

A(x,y)\Rightarrow A^{\prime}(-x,-y)

The coordinates are given below as

S(-1,3),T(-4,3),U(-3,1)

By applying the rule, we will have

\begin{gathered} S(-1,3)\Rightarrow S^{\prime}(-(-1),(-3)\Rightarrow S^{\prime}(1,-3) \\ T(-4,3)\Rightarrow T^{\prime}(-(-4),-3)\Rightarrow T^{\prime}(4,-3) \\ U(-3,1)\Rightarrow U^{\prime}(-(-3),-1)\Rightarrow U^{\prime}(3,-1) \end{gathered}

By graphing the triangle, we Will have

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Answer:

m∠P ≅ m∠L; this can be confirmed by translating point P to point L.

Step-by-step explanation:

Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:

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Since the 2nd triangle made from dilation, it should maintain its orientation.

Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.

Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.

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