Reflect triangle STU across line ST.Which of these is a valid reason why the image of U will coincide with J?
Answer:
The correct option is;
c.
Step-by-step explanation:
The given translation given is that of a reflection across a line ST
Whereby we take the line ST to represent the x-axis, then a reflection across ST will be of the form;
Coordinates of point of primage before reflection = (x, y)
Coordinates of point of image after reflection = (x, -y)
Therefore, the coordinates of the point of the reflected image of U will be the same as the coordinate of the point J and the image of U coincides with the point J
Therefore, the image of U and J are the same distance along the same ray from the T.
When a triangle is reflected, it must be reflected across a line.
The true statement about the reflection is (b) the image of U and J are the same distance along the same ray from T
From the question, we understand that:
Triangle STU is reflected across line ST
This means that, triangle STU will be flipped over line ST, such that point U and point J will coincide
This is so because, the distance from point J to line ST is the same as the distance from point U to line ST
Hence, the valid reason is (b)
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