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The triangles are congruent by SSS or HL. The diagram shows the sequence of three rigid transformations used to map ABC onto A"B"C". What is the sequence of the transformations? rotation, then reflection, then translation rotation, then translation, then reflection reflection, then translation, then rotation reflection, then rotation, then translation

The triangles are congruent by SSS or HL The diagram shows the sequence of three rigid transformations used to map ABC onto ABC What is the sequence of the tran class=

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JeanaShupp

Answer:-  The sequence of the transformations for the given diagram must be reflection, then rotation, then translation.


Explanation:-

Given : Four triangles which are congruent by SSS postulate or HL theorem.

According to the given diagram , the rigid transformations are as follows

1. Reflection: ΔABC is flipped about BC to form ΔA'BC such that AC=A'C and its is already given that they are congruent thus the rigid transformation used here is reflection.

2. Rotation:- ΔA'BC is rotated about point A' at some angle to form ΔA'B'C' , and they are congruent (given). Thus the rigid transformation used here is rotation.

3.Translation:- ΔA'B'C' is translated exactly right by some factor to form ΔA"B"C" ∵ all the points have changed but as these triangles are congruent (given) then corresponding parts must be equal.Thus the rigid transformation used here is  translation.

The sequence should be in the order for the given transformation as, reflection, then rotation, then translation. Thus the option D is the correct option.

How to rotate, reflect, and translation the figure?

Rotation, reflection and translation is the way of transformation of an figure.

  • Rotation- Rotation of an object is rotating it about a fixed point without changing its shape and size.

  • Reflection- Reflecting of an object is flipping it across a line without changing its shape and size.

  • Translation- Translation of an object is the shifting of the object without changing its dimensions, without rotating it and without reflecting it.

Given information-

In the given diagram the, triangle ABC is transformation into the three stages.

  • First the figure ABC is just flipped into the triangle A'BC by keeping the side BC fixed.
  • Then the triangle A'BC is rotated around the point A' and to place of A'B'C'.
  • Finally the figure is transact right from one place to another which is A"B"C".

Hence the correct sequence of the transformations is  reflection, then rotation, then translation. Thus the option D is the correct option.

Learn more about the rotation and reflection of figure here;

https://brainly.com/question/17174293

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