Two geometric figures are congruent if they are the same shape and size, but may be flipped, moved, and/or rotated. If object a is congruent with object b, we write a ≅ b and say, "a is congruent with b."
Manipulative 1 shows two congruent triangles. Click on the points on the sliders and the blue points on the triangles in the manipulative to change the figure. To place one triangle over the other, set horizontal, vertical and rotation to 0 and uncheck the Flip checkbox.
|Two line segments are congruent if they have the same measure.|
|Two angles are congruent if the measures of the angles are equal.|
|Two shapes are congruent if each point on the shape corresponds with a point on the corresponding shape.|
|The distance between two points on a figure and two corresponding points on a congruent figure is the same.|
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