The statements are true about triangle ABC and its translated image, A'B'C' are as follows.
The rule for the translation can be written as T3, –5(x, y).
Triangle ABC has been translated 3 units to the right and 5 units down.
The correct options are B and E.
Translation of image
When translation performs an object, the object is called the pre-image, and the object after the translation is called the image.
The statements are true about triangle ABC and its translated image, A'B'C'
The rule for the translation can be written as T–5, 3(x, y).
The rule for the translation can be written as T3, –5(x, y).
The rule for the translation can be written as;
(x, y) → (x + 3, y – 3).
The rule for the translation can be written as;
(x, y) → (x – 3, y – 3).
Triangle ABC has been translated 3 units to the right and 5 units down.
In the triangle ABC, A is at (-1,3)
In A'B'C', A' is at (2,-2)
From these points, we can see that
So, 3 is added with x value and -5 is added with y value.
Hence, Triangle ABC has been translated 3 units to the right and 5 units down.
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