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What other 2d shape has congruent triangles in it?
A square and rectangle both have congruent triangles in them.
What is necessary when proving that the diagonals of a rectangle are congruent?
opposite sides are congruent corresponding parts of congruent triangles are congruent(apex)
Are the diagonals of a rectangle congruent always?
Yes. You can show this by SAS of two right triangles. Consider rectangle ABCD. AD and BC are the same length and AC and BD are the same length because opposite sides are congruent. The angles ADC and BCD are congruent since it is a rectangle and the angles are right angles. So the triangles ADC and BCD are congruent and their hypotenuses (the diagonals of the rectangles) are congruent.
Prove that the diagonals of rectangle are equal?
prove any two adjacent triangles as congruent
Name the type of special quadrilateral that will appear when you join two congruent scalene right triangles?
Two scalene right triangles that are congruent, that is, that have identical size and shape, if joined together to form a quadrilateral, will form a rectangle.
