MATHEMATICS HIGH SCHOOL

Megan draws a triangle on coordinate axes. She reflects the triangle across the y-axis and then translates it 5 units to the right. Which statement is true about the triangle formed from these transformations?A. It will be larger than the original triangle
B. It will be smaller than the original triangle
C. It will be congruent to the original triangle
D. It will be a different shape then the original triangle

Answers

Answer 1
Answer: Answer C: It will be congruent to the original triangle. Reflections and translations do not affect the size of a shape, only it’s position and the way it is viewed.
Answer 2
Answer:

Final answer:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.

Explanation:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.



When a figure is reflected across the y-axis, its shape remains the same, but its orientation is flipped. Then, by translating the reflected triangle 5 units to the right, we are simply shifting it horizontally without changing its size or shape.



Therefore, the statement that is true about the triangle formed from these transformations is C. It will be congruent to the original triangle.

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