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Well, since you already know each angle is 90 degrees by the side and angles theorem, hypotenuse leg theorem
(angle, side, side)
Each triangle in that rectangle (if cut diagonally from two most remote interior angles) are congruent. They would be similar to another rectangles inner triangles if one other angle is the same as the other triangles angles.
This would also make the rectangles congruent.
If all the angles are equal in triangles they are always similar. And if two of a triangle's
angles are given (or findable) then it's third angle is congruent to the other triangle too.
Final summation- So all you need are two angles of on triangle cut from a rectangle (diagonally from most remote interior angles)
The rest should just be basic math and algebra.
Hope that helped. I am currently in a geometry course and we are proving congruency of triangles right now, so that's how figured it out. I'm sure some mathematician has a better answer, but I would try that. (if it made sense) :)
What else can I help you with?
Are all rectangles similar?
No not all rectangles are similar because the proportions are different.
Are two rectangles always similar?
Two rectangles are seldom but sometimes similar. They can be but they don't have to.
Are all rectangles never similar?
No, not all rectangles are similar because the proportions are different.
How do you know if two rectangles are similar?
Two rectangles are similar if corresponding angles are equal and the corresponding sides are proportional.
How are rectangles and trapezoids similar?
how are trapezoids and rectangles
Are some rectangles similar?
no some rectangles cannot be similar. a rectangle is a shape with 2 = sides and then 2 more different = sides. it is impossible because if 2 rectangles were similar than that would not be a rectangle. similar means having corresponding sides no it is not possible
How do you find the ratio between two similar rectangle's if their. Edges are 27?
To find the ratio between two similar rectangles based on their edges, you can use the formula for the ratio of their corresponding sides. If both rectangles have edges measuring 27 units, the ratio of their corresponding sides is 1:1, since the dimensions are the same. If the rectangles were different but still similar, you would divide the lengths of corresponding sides to find the ratio. In this case, the ratio remains 1:1 due to equal edge lengths.
Are all golden rectangles similar?
yes all golden rectangles are simalar as well as their ratios
Are al rectangles similar?
Sometimes but not always
If two rectangles are similar then the corresponding sides are?
If two rectangles are similar, they have corresponding sides and corresponding angles. Corresponding sides must have the same ratio.
Are two rectangles always sometimes or never similar?
Two rectangles are always similar. Similarity in geometry means that two shapes have the same shape but may differ in size. Since rectangles have the same angles (all right angles) and their corresponding sides are in proportion, any two rectangles can be considered similar regardless of their dimensions.
The width of two similar rectangles are 16 cm and 14 cm what is the ratio of the perimiters?
If two similar rectangles have the widths 16m and 14cm what is the ratio of the perimiters?
