Question

On IXL, which of the following transformations will, when applied to triangle ABC, produce a congruent triangle? Select all that apply.

a) Translation
b) Rotation
c) Dilation
d) Reflection

Answer 1

To produce a congruent triangle, you can apply translation, rotation, or reflection transformations.

Step-by-step explanation:

To produce a congruent triangle when applied to triangle ABC on IXL, the appropriate transformations are:

• Translation: A translation will produce a congruent triangle if the same distance and direction of movement is applied to each vertex of the triangle. This will result in the triangle being shifted to a new location without changing its shape or size.
• Rotation: A rotation can produce a congruent triangle if it is rotated by a angle of 180 degrees. This will result in the triangle being flipped over, but still maintaining the same shape and size.
• Reflection: A reflection along the x-axis or y-axis can produce a congruent triangle. This will result in the triangle being flipped over either horizontally or vertically, but still maintaining the same shape and size.