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Why are congruent figures also similar?
They are similar, with a scale factor of 1.
Can congruent figures also be similar?
They must be similar, with scale factor = 1.
The transitive property holds for similar figures?
The transitive property states that if A is equal to B, and B is equal to C, then A is equal to C. In the context of similar figures, this property holds true. If two figures are similar, and one figure is congruent to a third figure, then the second figure is also congruent to the third figure.
What are similarities of congruent shapes and similar shapes?
The angles for congruent shapes and the angles in similar shapes are all the same. All the sides are also proportional in both. Basically, all congruent shapes are similar but not all similar shapes are congruent.
Are all similar triangles also congruent?
No.
Are similar figures also congruent figures?
no
Why are congruent figures also similar?
They are similar, with a scale factor of 1.
Can congruent figures also be similar?
They must be similar, with scale factor = 1.
If two figures are similar then are they also congruent?
No. Two figures are similar if they have same shape, and all the angles are equal; but they can have the sides of different sizes. I mean, similar figures may have different sizes, but must have the same shape.
The transitive property holds for similar figures?
The transitive property states that if A is equal to B, and B is equal to C, then A is equal to C. In the context of similar figures, this property holds true. If two figures are similar, and one figure is congruent to a third figure, then the second figure is also congruent to the third figure.
When are two similar figures also congruent?
If the scale factor is 1. That is, if a pair of corresponding sides are the same length.
Why is it important to keep track of corresponding parts in congruent figures?
It is important so you can later prove that the figure is congruent using a geometric proof or other method. It is also useful for finding side lengths and the measures of angles.
What are similarities of congruent shapes and similar shapes?
The angles for congruent shapes and the angles in similar shapes are all the same. All the sides are also proportional in both. Basically, all congruent shapes are similar but not all similar shapes are congruent.
Are all similar triangles also congruent?
No.
What is a figure that has two congruent faces?
Prisms are three dimensional figures that always have two congruent faces. The congruent faces are also parallel to one another.
Why congruent figures have the same surface area?
Geometrical figures are said to be congruent if they are the same in every respect; all lengths and angles are exactly the same. That being the case, the surface area must also be the same; the calculation will be the same for both figures.
How do you construct two congruent shapes?
turn them into a 3D shape,used to make two congruent shapes.Two easy shapes to make a congruent shape is to use circle and rectangle,also triangles.You can compare a congruent shape by adding extra figures to it like a cube if there were no extra figures it wouldve been a square only.Congruent shapes are also one of natures preditors.Dogs have a connection with a congruent shape.A bone.
