Congruent and Similar

Congruent is a complicated word with an easy meaning - it just means 'the same as'. If two shapes are congruent, it just means that they have the same shape and the same size.

For two shapes to be congruent, then one shape will fit exactly into the other shape by rotating, reflecting or translating. They have the same angles, same lengths of side and the same area.
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Similar means 'alike'. If two shapes are similar, then
they are alike, but not exactly the same.
They have the same shape but not the same size.

For two shapes to be similar, the shapes will not fit exactly into the other shape by rotating, reflecting or translating. They have the same angles, but different lengths of side and different areas.
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Compare these shapes to see if they are congruent or similar.

Data

Same shape

Same length of side

Same angles

The shapes are congruent

Data

Same shape

Same length of side x

Same angles x (no angles)

The shapes are similar

Data

Same shape

Same length of side

Same angles

The shapes are congruent

Data

Same shape

Same length of side x

Same angles

The shapes are similar

Data

Same shape

Same length of side

Same angles

The shapes are congruent

Data

Same shape

Same length of side

Same angles

The shapes are congruent

Data

Same shape

Same length of side x

Same angles

The shapes are similar

Data

 

Same shape x

Same length of side

Same angles x

The shapes are neither similar
nor congruent

 

Transformation: Rotation  Line Symmetry  Line Symmetry








CAT4 / 12 Pus papers