A rectangle.
No. The only requirement for a triangle to be a 45-45-90 triangle is for it to have at least two congruent sides/angles. The measure of the two congruent angles can be anything.
In any triangle that is not equilateral, there will always be a pair of non-congruent sides. This is because, in a triangle, the lengths of the sides are determined by the angles opposite them; if one angle is different from the others, the sides opposite those angles must also be different in length. Hence, in scalene and isosceles triangles (where at least two sides are equal), there will always be at least one pair of sides that are not congruent.
escoscolipse
An Isosceles Triangle
true
the shape? no, not always. but they are always at least similar figures. but the angles alone are always congruent
Yes. The two base angles (the angles opposite the equal sides) are always congruent.
A rectangle or a square.
Adjacent angles of a square? You have to have at least two squares to compare the congruency of angles. Since all the angles of a square equal 90 degrees, adjacent angles of any TWO squares will be congruent. I suggest you look up the definition of CONGRUENT. - wjs1632 -
If it has at least one set of parallel sides, then at least one set of angles are congruent
No. The only requirement for a triangle to be a 45-45-90 triangle is for it to have at least two congruent sides/angles. The measure of the two congruent angles can be anything.
No.
In any triangle that is not equilateral, there will always be a pair of non-congruent sides. This is because, in a triangle, the lengths of the sides are determined by the angles opposite them; if one angle is different from the others, the sides opposite those angles must also be different in length. Hence, in scalene and isosceles triangles (where at least two sides are equal), there will always be at least one pair of sides that are not congruent.
escoscolipse
An Isosceles Triangle
true
That is a mathematical impossibility. At least 2 angles have to be congruent in order for the shape to have 4 sides.