Triangles R S T and X Y T are congruent. Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T. Is there a series of rigid transformations that could map ΔRST to ΔXYT? If so, which transformations could be used? No, ΔRST and ΔXYT are congruent but ΔRST cannot be mapped to ΔXYT using a series rigid transformations. No, ΔRST and ΔXYT are not congruent. Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y. Yes, ΔRST can be translated so that S is mapped to Y and then rotated about S so that R is mapped to X.

The correct statement is, "Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y".

Given that,

Triangles R S T and X Y T are congruent.

Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T.

We have to determine,

Is there a series of rigid transformations that could map ΔRST to ΔXYT? If so, which transformations could be used?

According to the question,

Rigid body transformations are the ones that preserve the shape and size of the object i.e. magnitude and the angle also. Pure rotations and pure reflections are rigid body transformation

Rigid transformations are processes that can be applied to change the orientation or size of a given object, while its shape is maintained. Examples are; rotation, reflection, dilation, and translation.

The two types of motion a rigid body can undergo are; A macroscopic body is made up of a very large number of atoms. Describing the motion of such a system without some simplifications is clearly impossible.

To map ΔRST to ΔXYT, the rigid transformations required are; reflection and rotation. ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Hence, Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

To know more about Rigid body Transformation click the link given below.

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C. Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Step-by-step explanation:

Rigid transformations are processes that can be applied to change the orientation or size of a given object, while its shape is maintained. Examples are; rotation, reflection, dilation and translation.

To map ΔRST to ΔXYT, the rigid transformations required are; reflection and rotation. ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Therefore, option C is correct from the given question.

step-by-step explanation:

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