Sometimes
Yup
Always: that's what makes a rhombus a rhombus. A+ Homies
It is always true because two congruent angles that are complementary both measure 45 degrees.
Sometimes. Remember, in order for two polygons to be similar, their angles must be congruent, and their corresponding sides must be proportional. In a rhombus, it is always possible for the angles to differ.
quadrilaterals are consecutive and opposite angles always congruent?
Yup
Yes, there is a rotation for which the orientation of the image remains the same as that of the preimage. Specifically, when the rotation angle is 0 degrees (or a multiple of 360 degrees), the preimage and image are identical, preserving their orientation. Additionally, rotations by 180 degrees will also maintain the orientation in certain symmetrical cases. However, any rotation by angles other than these will typically change the orientation.
Never
Figures are congruent if and only if they are related by a translation, reflection, or rotation, or some combination of these transformations.
A. Rotation
sometimes
Sometimes but not always
Congruent figures are always similar. However, similar figures are only sometimes congruent.
If they are congruent they must be similar.
Only as in the form of an isosceles trapezoid are its diagonals congruent.
Sometimes
sometimes