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If two triangles have three pairs of congruent angles then are the triangles guaranteed to be congruent?
false
How many pairs of parallel diagonals in a decagon?
A decagon has 10 sides. To find the number of pairs of parallel diagonals in a decagon, we need to consider the possible combinations of diagonals that are parallel to each other. Each vertex can connect to 5 other vertices with a diagonal, but not all of these diagonals will be parallel. Therefore, the number of pairs of parallel diagonals in a decagon is 10 choose 2, which equals 45 pairs.
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.
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.
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.
Can the diagonals of a square from 6 pairs of congruent triangles?
No.
How many pairs of congruent triangles are formed diagonals of a rectangle?
Four.
How many pairs of congruent triangles are formed by the diagonals of a rectangle?
4
Do the diagonals of a rhombus make two pairs of congruent triangles?
yes
The diagonals of a square from 6 pairs of congruent triangles true or false?
False. There are 6 pairs of smaller congruent triangles and two pair of larger ones.
How many pairs of triangles are formed if a rectangle is divided into half and diagonals are drawn?
Probably 6 if not 4 if not 8 if not 10.WHO CARES
Are pairs of congruent triangles can be similar triangles?
no theycan not
How many pairs of parallel diagonals in a decagon?
A decagon has 10 sides. To find the number of pairs of parallel diagonals in a decagon, we need to consider the possible combinations of diagonals that are parallel to each other. Each vertex can connect to 5 other vertices with a diagonal, but not all of these diagonals will be parallel. Therefore, the number of pairs of parallel diagonals in a decagon is 10 choose 2, which equals 45 pairs.
Which pair of triangles must be similar?
Pairs of triangles, in general, do not have to be similar.
Is it possible for two triangles to have two pairs of sides that are proportional without the triangles being similar?
Yes. You can even have two triangles with two pairs of sides that are the SAME measure without the triangles being similar.
Number of pairs of congruent triangles in a square?
4 congruent pairs
If two triangles have three pairs of congruent angles then are the triangles guaranteed to be congruent?
false
