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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.
How would you prove triangles are congruent?
You could prove two triangles are congruent by measuring each side of both triangles, and all three angles of each triangle. If the lengths of the sides are the same, and so are the angles, then the triangles are congruent... if not, then the triangles are not congruent. If the triangles have the exact same size and shape then they are congruent.
Is it true that congruent triangles have the same shape?
yes it is
What shape has all congruent triangles?
triangular pyramid
What shape has congruent angles?
Regular polygons have congruent angles such as squares and equilateral triangles.
