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Two figures are congruent when they have the exact same angles within them. However, one of the figures might be blown up or shrunk. (Just not Skewed/Stretched).
for example: A
is congruent to
but isn't congruent to
A
Since it's slanted (skewed).
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In geometry what does it mean if two figures are congruent?
They have the same shape and measurements
How do you know if two figures are congruent or not?
They are congruent if they are identical in shape and size.
Can congruent figures be similar and can similar figures be congruent?
Congruent figures are always similar. However, similar figures are only sometimes congruent.
Are two congruent figures similar?
Yes, congruent means same size and shape.
What is a congruent shape?
Congruent figure(s) (shapes) are two figures that have the same size AND shape.
What does it mean for two figures to be congruent?
Similar
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.
In geometry what does it mean if two figures are congruent?
They have the same shape and measurements
which is a biconditional statement combining the following conditional statement and its converseConditional: If two figures are congruent, they have the same shape and size.Converse: If two figures have the same shape and size, they are congruent.?
Two figures are congruent if and only if they have the same shape and size.
How do you know if two figures are congruent or not?
They are congruent if they are identical in shape and size.
What is the similiarity between a congruent and non-congruent figure?
Congruent means that two figures have the same shape. Non-congruent means they don't. There is no "similarity"; two non-congruent figures can be just about anything, for example a square and a circle.
What does non congruent mean?
In geometry two figures are congruent if they have the same shape and size if they are non congruent they do not have the same shape and size two triangles are congruent if their corresponding sides are all equal in lengh and their corresponding angles are equal in size
Can congruent figures be similar and can similar figures be congruent?
Congruent figures are always similar. However, similar figures are only sometimes congruent.
What does it mean to prove that two figures are congruent using rigid motions?
Proving that two figures are congruent using rigid motions involves demonstrating that one figure can be transformed into the other through a series of translations, rotations, and reflections without changing the size or shape of the original figure. This proof relies on the principle that rigid motions preserve distance and angle measures. By showing that the corresponding parts of the two figures align perfectly after applying these transformations, it can be concluded that the figures are 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.
Are two congruent figures similar?
Yes, congruent means same size and shape.
If two figures are the same size and shape they are what?
congruent
