These are transformations that do not change the shape or size, only its location (translation) or orientation (rotation).
Reflecting
A congruence transformation of a shape is one that does not alter the size (area) or the relative lengths and positions of the lines.Translations, rotations and reflections are all example of simple transformations which are congruent.
Reflections are congruence transformations where the figure is reflected over the x-axis, y-axis, or over a line.
Congruence is basically the same as equality, just in a different form. Reflexive Property of Congruence: AB =~ AB Symmetric Property of Congruence: angle P =~ angle Q, then angle Q =~ angle P Transitive Property of Congruence: If A =~ B and B =~ C, then A =~ C
HL congruence theorem
Reflecting
A congruence transformation of a shape is one that does not alter the size (area) or the relative lengths and positions of the lines.Translations, rotations and reflections are all example of simple transformations which are congruent.
Reflections are congruence transformations where the figure is reflected over the x-axis, y-axis, or over a line.
After a congruence transformation, the area of a triangle remains unchanged. Congruence transformations, such as rotations, translations, and reflections, preserve the shape and size of geometric figures. Therefore, while the position or orientation of the triangle may change, its area will stay the same.
A congruence transformation, or isometry, is a transformation that preserves distances and angles, such as translations, rotations, and reflections. Among common transformations, dilation (scaling) is not a congruence transformation because it alters the size of the figure, thus changing the distances between points. Therefore, dilation is the correct answer to your question.
No
Being yourself!
Transformations, such as translations, rotations, and reflections, can be used to demonstrate that angles are congruent by showing that one angle can be moved to coincide with another without altering its size or shape. For example, by rotating one angle to match the vertex and rays of another angle, we can visually confirm their congruence. If the angles overlap perfectly after the transformation, this indicates that they are congruent. Thus, transformations provide a practical method for establishing angle congruence in geometric proofs.
Transformations, such as translations, rotations, and reflections, can demonstrate that angles are congruent by showing that one angle can be mapped onto another without altering its size or shape. For instance, if two angles can be aligned perfectly through a series of transformations, they are considered congruent. This property is fundamental in geometry, as it confirms that congruent angles maintain equal measures, regardless of their position in space. Thus, transformations visually and mathematically establish the congruence of angles.
Congruence is a Noun.
The symmetric property of congruence states that if one geometric figure is congruent to another, then the second figure is also congruent to the first. In other words, if shape A is congruent to shape B, then shape B is congruent to shape A. This property emphasizes the mutual relationship of congruence between two figures, ensuring that the congruence can be expressed in either direction.
It was created for the use of congruence between segments, angles, and triangles. Also it was created for the transitional property of congruence, symmetry property of congruence, and Reflexive property of congruence.