To show that △ABC≅△DEF, we can use a sequence of rigid transformations. Firstly, we can perform a translation by moving point A to point D, B to E, and C to F. This transformation preserves distances and angles, so it results in a congruent figure. Secondly, we can perform a rotation by rotating the translated triangle △DEF around point D to line up side DE with side AD. This transformation also preserves distances and angles, resulting in a congruent figure.
This sequence of rigid transformations illustrates the ASA Congruence Theorem. ASA stands for Angle-Side-Angle, which means if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. In our case, we translated triangle △ABC to triangle △DEF, which preserved distances and angles. Then, we rotated triangle △DEF to align side DE with side AD, which preserved distances and angles as well. By matching angles and the included side, we have shown that triangle △ABC is congruent to triangle △DEF according to the ASA Congruence Theorem.
Describe a sequence of rigid transformations that could be used to show that △ABC≅△DEF . Explain how you know each transformation will result in a congruent figure. Then, explain how this sequence of rigid transformations illustrates the ASA Congruence Theorem. using only tenth grader vocabulary and words and punctuation and make it short only using 1 1/2 paragraphs
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