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slwarrior64
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Only use that ACB and CED are congruent, not any other symbols in the diagram.
Congruence is a term used in geometry to describe two figures that have the same size and shape. In other words, if two figures are congruent, they are identical in every way.
There are several ways to prove that two triangles are congruent, including using the Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), or Hypotenuse-Leg (HL) congruence criteria. These criteria involve comparing the corresponding sides and angles of the two triangles to show that they are equal.
Congruence and similarity are both terms used to describe the relationships between two figures. While congruence means that two figures are identical in every way, similarity means that two figures have the same shape, but may differ in size. In other words, congruent figures are always similar, but similar figures are not always congruent.
In this context, congruence refers to the fact that the two triangles have the same size and shape. This means that the corresponding sides and angles of the ACB and CED triangles are equal, making them congruent triangles.
Yes, two triangles can be congruent even if they have different orientations. As long as the corresponding sides and angles are equal, the triangles are considered congruent. This means that one triangle can be rotated, reflected, or translated to match the other triangle, and they will still be congruent.