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How many congruent triangles make a parallelogram?
Answer: 2 Explanation: A parallelogram is a quadrilateral which has both pairs of the opposite sides parallel. Congruent triangles are triangles that have exactly the same three sides and exactly the same three angles. So, in a parallelogram, each diagonal divides it in 2 congruent triangles. Source: Algebra.com
What is congruent diagonals each of which divides the figure into two congruent isosceles right triangles?
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
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 do you calcuate the diagonal of a rectangle?
Since a diagonal divides a rectangle into two triangles, this is actually a problem in trigonometery. Since a rectangle has right angles, the resulting triangles also have right angles, therefore you can apply the Pythagorean Theorem. Or, just take your ruler and measure the diagonal. That's the direct approach.
Does a median divide a triangle into two congruent triangles?
Yes * * * * * No. A median is a line from a vertex to the midpoint of the opposite side. It divides the triangle into congruent parts only if the triangle is equilateral or if the triangle is isosceles and it is the median from the unequal vertex. In all other cases the two parts will not be congruent.
