Not always but they may be similar in shape.
Yes if they have the same interior angles and have the same side lengths
B: angles and side lengths
similar figures have the same angles but not necessarily the same side lengths
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Two rhombuses with the same side lengths are congruent because they share the same properties of having equal side lengths and the same angles. Since all sides are equal and the angles are preserved, they can be transformed into one another through rigid motions such as rotations and reflections. This congruence holds true regardless of the size or orientation of the rhombuses. Thus, the fundamental characteristics of their shapes ensure they are congruent.
Yes if they have the same interior angles and have the same side lengths
to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. :)
B: angles and side lengths
similar figures have the same angles but not necessarily the same side lengths
They may not be. Depends on the triangles! All the angles and sides have to be the same to be congruent. They would be identical. The same angles but proportionally larger or smaller side lengths = similar.
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Two rhombuses with the same side lengths are congruent because they share the same properties of having equal side lengths and the same angles. Since all sides are equal and the angles are preserved, they can be transformed into one another through rigid motions such as rotations and reflections. This congruence holds true regardless of the size or orientation of the rhombuses. Thus, the fundamental characteristics of their shapes ensure they are congruent.
No, triangles with the same side lengths are always congruent.
Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.
an 8 sided polygon that has congruent angles, but not congruent side lengths
Yes, angles are congruent when their side measures are the same, specifically in the case of triangles. If two angles have sides of equal length, they can be considered congruent due to the properties of isosceles triangles or by using the Side-Angle-Side (SAS) or Angle-Side-Angle (ASA) congruence criteria. However, for angles outside of triangles, having the same side lengths does not guarantee congruence unless the angles are formed in a context where their measures can be directly compared.
Angles and side lengths -Juju Apex Checks