Figures are congruent if and only if they are related by a translation, reflection, or rotation, or some combination of these transformations.
Relfection or rotation! Thats the answer! I dont really have an explantaion but i dont have to. i did it on this thing called *Studyisland* and i got it right!
A figure is always congruent to its image under transformation because congruence means that the two figures have the same shape and size. Transformations such as translations, rotations, and reflections preserve the lengths of sides and the measures of angles, ensuring that the original figure and its image maintain their geometric properties. Therefore, any transformation applied will result in an image that is congruent to the original figure.
Are congruent figures always similar? Yes.
One side cannot be congruent: it must be congruent to something!
A transformation that does not always result in congruent figures in the coordinate plane is dilation. While dilations can resize figures, they change the dimensions of the original shape, leading to figures that are similar but not congruent. In contrast, transformations like translations, rotations, and reflections preserve the size and shape of the figures, resulting in congruence.
Sometimes
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
A. Rotation
No it makes the figure bigger or smaller than the original
No, congruent triangles are always similar but similar triangles and not always congruent. Imagine that similar triangles can be created on a copy machine enlarge and shrink the image, turn it, even turn it over, the angles remain the same. A congruent triangle must be exactly the same as the original. Hope this helps!
Relfection or rotation! Thats the answer! I dont really have an explantaion but i dont have to. i did it on this thing called *Studyisland* and i got it right!
Angles that are always congruent are applesauce angles
A figure is always congruent to its image under transformation because congruence means that the two figures have the same shape and size. Transformations such as translations, rotations, and reflections preserve the lengths of sides and the measures of angles, ensuring that the original figure and its image maintain their geometric properties. Therefore, any transformation applied will result in an image that is congruent to the original figure.
Are congruent figures always similar? Yes.
Never
the shape? no, not always. but they are always at least similar figures. but the angles alone are always congruent
One side cannot be congruent: it must be congruent to something!