Triangle ABC must be moved 2 units down and 3 units to the right, followed by a reflection across the y-axis if we wish to shift it such that it completely matches with triangle FED.
What are congruent triangles?
When some triangles have precisely the same three sides and precisely the same three angles, they are said to be congruent.
How to solve this problem?
Notice that triangle ABC and triangle FED have the same three sides and same three angles. If we want to match them perfectly, first, we have to move triangle ABC 2 units down. Then the distance between triangle ABC and triangle FED is 3 units. So, we move the triangle ABC to 3 units right. Now, if we can take a reflection on the triangle ABC across the y-axis, we can match triangle ABC and triangle FED perfectly.
Therefore, triangle ABC must be moved 2 units down and 3 units to the right, followed by a reflection across the y-axis, if we wish to shift it such that it completely matches with triangle FED.
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