Triangle ABC is congruent to TriangleA'BC' by the HL theorem.

Triangles A B C and A prime B C prime are connected at point B. Angles A prime C prime B and A C B are right angles. The lengths of C prime A prime and C A are congruent. The lengths of A prime B and B A are congruent.

What single rigid transformation maps TriangleABC onto TriangleA'BC'?

dilation
reflection
rotation
translation

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Answer: Reflection

Step-by-step explanation:

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The single rigid transformation which maps Triangle ABC onto Triangle A'BC' is reflection. Option B is the correct option.

What is the transformation of figure?

Transformation of a figure is to change the size, shape or the position of a figure to create a new figure for required use.

Triangle ABC is congruent to Triangle A'BC' by the HL theorem. In this traingle,

  • Triangles A B C and A'BC' are connected at point B.
  • Angles A'C'B and ACB are right angles.
  • The lengths of C' A' and CA are congruent.
  • The lengths of A'B and BA are congruent.

The reflection of a plane or shape is flipping the original figure with respect to a reference line.

The triangle ABC is reflected from the point B.

Thus, the single rigid transformation which maps Triangle ABC onto Triangle A'BC' is reflection. Option B is the correct option.

Learn more about the transformation of the figure here;

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