Congruent Triangles
Congruence
|
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. |
|
Rotation Rotate 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. |
|
|
Translation Drag the head point of the arrow so that the red
triangle fit on the blue triangle. |
|
|
Reflection Drag the two end points of the mirror line of
reflection. Place the red triangle on the blue triangle. |
|
Congruent Triangles
|
Two triangles are congruent if they have the
relations listed below. |
|
SAS Two pairs of congruent sides and one pair of
congruent angles (angle between sides) (Side-Angle-Side) |
|
|
ASA Two pairs of congruent angles and one pair of
congruent sides (Angle-Side-Angle) |
|
|
AAS Two pairs of congruent angles and one pair of
congruent sides (Angle-Angle-Side) |
|
|
SSS Three pairs of congruent sides (Side-Side-Side) |
|
|
RHS If the hypotenuse and the leg of one right
triangle are congruent to the corresponding parts of the second right
triangle, the two triangles are congruent. (Right-angle, side and
hypotenuse) |
|
