Answer :
The correct answer is Point A onto Point D, and AB onto DE.Since the triangles are congruent, we know that they have the same shape and size.
what is congruent?
In mathematics, congruent means having the same size and shape. In geometry, two figures are congruent if they have the same size and shape, which means that all corresponding sides and angles are equal.
In the given question,
Based on the given information, we know that triangle ABC and triangle DEF are distinct acute triangles such that ZBZE. We are also told that AABC is congruent to ADEF, and we need to determine which sequence of rigid motions maps the triangles onto each other.
The correct answer is Point A onto Point D, and AB onto DE.
Since the triangles are congruent, we know that they have the same shape and size. Therefore, we need to find a sequence of rigid motions that will map one triangle onto the other.
The first step is to map point A onto point D, which can be done with a translation. The second step is to map AB onto DE, which can be done with a rotation about point D. This sequence of rigid motions will map triangle ABC onto triangle DEF.
Option 1, ZA onto ZD and ZC onto ZF, does not necessarily map the rest of the triangles onto each other.
Option 2, AC onto DF and BC onto EF, is incorrect because it only maps two sides of the triangle and does not guarantee congruence.
Option 4, ZC onto ZF and BC onto EF, also does not necessarily map the rest of the triangles onto each other.
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