Answer:
â–³ABC is congruent to â–³DEF
Step-by-step explanation:
â–³DEF is a reflection of â–³ABC across the y-axis. (Each x-coordinate is negated.)
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Comment on presentation
This would be much easier to answer if you would use a conventional representation of ordered pairs:
... (-1, -2) instead of "begin ordered pair negative 1 comma negative 2 end ordered pair"
Answer:
The correct option is 1. â–³ABC is congruent to â–³DEF.
Step-by-step explanation:
From the given information it is clear that the vertices of â–³ABC are A(-1,-2), B(-6,-1) and C(-5,-5).
The vertices of â–³DEF are D(1,-2), E(6,-1), F(5,-5).
Plot all these points on a coordinate plan. From the below graph it is clear that the â–³ABC is mirror image of â–³DEF across y-axis. The relation between coordinates of â–³ABC and â–³DEF is defined as
[tex](x,y)\rightarrow (-x,y)[/tex]
It means the graph â–³ABC reflect cross the y-axis to get â–³DEF.
Since reflection is a rigid transformation, therefore the size and shape of â–³ABC and â–³DEF are same and â–³ABC is congruent to â–³DEF.
