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In the figure shown, the triangle PQR is transformed to create triangle P’Q’R’.

Point S will be transformed the same way as triangle PQR. Which sentence could describe how point S will be transformed?

A) Point S will be translated to (6,0) and then rotated (0,6).

B) Point S will be translated to (6,0) and then rotated to (0,-6).

C) Point S will be translated to (4,3) and then reflected (-4,3).

D) Point S will be translated to (4,3) and then reflected to (4,-3)


WILL GIVE BRAINLIEST
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In the figure shown the triangle PQR is transformed to create triangle PQR Point S will be transformed the same way as triangle PQR Which sentence could describ class=

Respuesta :

frika

Answer:

D. Point S will be translated to (4,3) and then reflected to (4,-3)

Step-by-step explanation:

1. Translate triangle PQR 2 units to the left according to the rule

[tex](x,y)\rightarrow (x-2,y).[/tex]

Then

[tex]P(-8,5)\rightarrow P''(-10,5)\\ \\Q(-5,8)\rightarrow Q''(-7,8)\\ \\R(-3,6)\rightarrow R''(-5,6)[/tex]

2. Reflect triangle P''Q''R'' across the x-axis according to the rule

[tex](x,y)\rightarrow (x,-y).[/tex]

Then

[tex]P''(-10,5)\rightarrow P'(-10,-5)\\ \\Q''(-7,8)\rightarrow Q'(-7,-8)\\ \\R''(-5,6)\rightarrow R'(-5,-6)[/tex]

If point S(6,3) is transformed the same way as triangle PQR, then

[tex]S(6,3)\rightarrow S''(4,3)\ \text{(Translation 2 units to the left)}\\ \\S''(4,3)\rightarrow S'(4,-3)\ \text{(Reflection across the x-axis)}[/tex]