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What composition of transformations will create a pair of similar not congruent triangles?
Enlargements (or dilations) will create similar shapes.
Definition of Congruent Figures?
The Definition of Congruent Figures (which is a proof) says that if two figures have corresponding sides congruent and corresponding angles congruent, then the figures are to be congruent.
What are figures with the same size and shape?
congruent
What is the difference between similar and congruent?
Congruent means two figures have exactly the same shape and size. If the shape is identical, but not the size , two figures are similar.
Figures that have exact same size and shape?
congruent
What sets of transformations would create an image that is not congruent to its original image?
It is an enlargement
What transformations create similar figures?
An enlargement transformation will create a similar figure,
Is rotation always creates a congruent image to the original figure?
Figures are congruent if and only if they are related by a translation, reflection, or rotation, or some combination of these transformations.
How can rigid transformations be used to prove congruency?
Rigid transformations, such as translations, reflections, and rotations, preserve the length, angle measures, and parallelism of geometric figures. By applying a combination of these transformations to two given figures, if the transformed figures coincide, then the original figures are congruent. This is because if two figures can be superimposed perfectly using rigid transformations, then their corresponding sides and angles have the same measures, establishing congruency.
What composition of transformations will create a pair of similar not congruent triangles?
Enlargements (or dilations) will create similar shapes.
Definition of Congruent Figures?
The Definition of Congruent Figures (which is a proof) says that if two figures have corresponding sides congruent and corresponding angles congruent, then the figures are to be congruent.
Can congruent figures be similar and can similar figures be congruent?
Congruent figures are always similar. However, similar figures are only sometimes congruent.
What the heck are congruent figures?
Congruent figures are figures that have the same size and shape.
Can congruent figures be similar figures?
All congruent figures are similar figures, and have identical sizes.
What is different about similar and congruent figures?
Congruent figures are identical in dimensions and angles whereas similar figures have dimensions in proportion to congruent figures but both have exactly the same angles.
What does congruent figures have?
Congruent Figures has equal sides, angles, shape and size.
Is congruent figures are always similar?
Are congruent figures always similar? Yes.
