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Can all 4 sided shape be made by two right angled triangles?
Absolutely. Any two congruent right triangles will form a rectangle, and if the right triangles are isosceles right triangles, they will form a square.
Can you put two congruent triangles together to make a quadrilateral that is not a parallelogram?
Yes. They can form a kite.
Do the diagonals of a quadrilateral kite separate the kite into four congruent triangles?
Not necessarly. If the sum of two of the sides congruent to each other are greater than that of the sides opposite them, then no. If however the kite forms a rombus ot square, the diagnoles will form four congruent triangles with the base of both being the line of symmetry.
Draw two triangles with a common hypotenuse do the legs form a rectangle?
Not always. You could form a kite. That means that the two adjacent sides would be congruent, not the two opposite sides.
Suppose you drew a diagonal in each of the following quadrilaterals rectangles trapezoid parallelogram. In which figures do triangles with a different size and shape form?
When you draw a diagonal in a rectangle or a parallelogram, it divides the shape into two congruent triangles, meaning both triangles are the same size and shape. In contrast, drawing a diagonal in a trapezoid results in two triangles that can differ in size and shape, as the bases of the trapezoid are unequal. Thus, different size and shape triangles form only in the trapezoid.
