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Parallelograms of any form, a square, a rectangle, and a rhombus are just special parallelograms so all will form 2 pairs of isosceles triangles when a diagonal is drawn.

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Q: What quadrilaterlas Diagonals Form 2 Pairs Of Isoceles Triangles?
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If two triangles have three pairs of congruent angles then are the triangles guaranteed to be congruent?

false


If two triangles have three pairs of congruent angles then the triangles are not guaranteed to be congruent?

Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.


How many pairs of parallel diagonals in an octagon?

This assumes you mean a regular octagon. There are 4 pairs where the diagonals each skip two vertices. Then there are 4 sets of three parallel diagonals where one is the main diagonal (skips three vertices) and two skip just one vertex. For each of these sets of three, you can choose three pairs of two. That makes 12 pairs all up. So there are 4 + 12 = 16 pairs.


Why do you think that diagonals bisect each other for proving that a quadrilateral is a parallelogram?

The diagonals divide the quadrilateral into four sections. You can then use the bisection to prove that opposite triangles are congruent (SAS). That can then enable you to show that the alternate angles at the ends of the diagonal are equal and that shows one pair of sides is parallel. Repeat the process with the other pair of triangles to show that the second pair of sides is parallel. A quadrilateral with two pairs of parallel lines is a parallelogram.


Which of these triangles appears to be congruentto any others shown here?

which pairs of triangles appear to be congruent