A pair of quadrilaterals, of any kind, will be similar if their sides are in some constant ratio - other than 1 - and their angles are the same.
Yes, corresponding angles of similar quadrilaterals are congruent. Similar quadrilaterals have the same shape but may differ in size, which means their corresponding angles remain equal. This property holds true for all similar figures, not just quadrilaterals. Thus, if two quadrilaterals are similar, their corresponding angles will always be congruent.
No. You can have two triangles that are congruent to one another, and two quadrilaterals that are congruent to one another. But the triangle cannot be similar to the quadrilateral!
No. Consider a square and rectangle.
A trapezoid
square and a rectangle
No. You can have two triangles that are congruent to one another, and two quadrilaterals that are congruent to one another. But the triangle cannot be similar to the quadrilateral!
No. Consider a square and rectangle.
Yes they will have the same angles but with proportional different lengths
quadrilaterals are consecutive and opposite angles always congruent?
There is no specific name for them.
There are 16 non-congruent quadrilaterals on a 3x3 geoboard.
square
Not generally.
Rectangles
Trapezoid?
Rectangles have all angles congruent,
squares