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Two pairs of congruent sides and one pair of congruent angles
(angle between sides) (Side-Angle-Side) |
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Two pairs of congruent angles and one pair of
congruent sides (Angle-Side-Angle) |
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Three pairs of congruent sides (Side-Side-Side) |
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Geometrical figures are said to be congruent if they are the same in shape and size. One shape can be fitted exactly over the other by rotation, translation, and reflection.
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RotationRotate a triangle by dragging the red point on the circle. Fit the red triangle exactly on the blue triangle.You can move the center point of the rotation. |
TranslationDrag the head point of the arrow so that the red triangle fit on the blue triangle.
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ReflectionDrag the two end points of the mirror line of reflection. Place the red triangle on the blue triangle. |
| Two triangles are congruent if they have the relations listed below. |
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Two pairs of congruent sides and one pair of congruent angles
(angle between sides) (Side-Angle-Side) |
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Two pairs of congruent angles and one pair of
congruent sides (Angle-Side-Angle) |
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Three pairs of congruent sides (Side-Side-Side) |
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