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For the translation​ below, give the vertices of ABC

For the translation​ below, give the vertices of ABC-example-1
User Keeva
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4 votes

Answer:

A' = (-1, 3)

B' = (-4, 0)

C' = (1, 6)

=======================================================

Reason:

The notation
T_( < -3, 5 > ) means "translate 3 units left, 5 units up".

Another way to write out this rule is
(\text{x},\text{y}) \to (\text{x}-3,\text{y}+5)

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Let's apply that rule to the coordinates of point A.


(\text{x},\text{y}) \to (\text{x}-3,\text{y}+5)\\\\(2,-2) \to (2-3,-2+5)\\\\(2,-2) \to (-1,3)\\\\

Point A' is located at (-1, 3)

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Repeat for the coordinates of point B.


(\text{x},\text{y})\to(\text{x}-3,\text{y}+5)\\\\(-1,-5)\to(-1-3,-5+5)\\\\(-1,-5)\to(-4,0)\\\\

Point B' is located at (-4, 0)

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Lastly do the same for point C.


(\text{x},\text{y})\to(\text{x}-3,\text{y}+5)\\\\(4,1)\to(4-3,1+5)\\\\(4,1)\to(1,6)\\\\

Point C' is located at (1, 6)

User Geekchic
by
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