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Sagot :
If ∆ABC is rotated around the origin 180 degrees, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.
Are the triangles congruent via rigid motion?
Stiff motion makes these two triangles congruent. The SAS Theorem asserts that two triangles are congruent if they have two pairs of matching congruent sides in common and if the included angle is likewise congruent.
Use rigid motions to explain why ∆ABC ≅ ∆XYZ. If ∆ABC is rotated around the origin 180 degrees, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent. If ∆ABC is translated, it will map to ∆XYZ.
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