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Two triangles that have the same angles?
The triangles are similar, but not necessarily congruent.
What is congruences?
the strongest relationship a pair of triangles can have is congruence. two segments or two angles are congruent when they have the same measures. congruent triangles have exactly the same size and shape.
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.
If any two sides and any angle are congruent in two triangles then the triangles must be congruent?
False
Are similar triangles always congruent?
No, congruent triangles are always similar but similar triangles and not always congruent. Imagine that similar triangles can be created on a copy machine enlarge and shrink the image, turn it, even turn it over, the angles remain the same. A congruent triangle must be exactly the same as the original. Hope this helps!
If two triangles are congruent which of the triangles are congruent?
If they both have 3 sides the same and 3 angles the same then they are said to be congruent.
Are two triangles are congruent if they have the same base?
No. All corresponding sides and angles have to be congruent for the triangles to be congruent.
If two triangles have the same side lengths then the triangles are?
They are congruent.
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.
When are two isosceles triangles congruent?
the triangles will have the same side length
Two triangles that have the same angles?
The triangles are similar, but not necessarily congruent.
What are two congruent triangles?
They are two triangles whose corresponding sides and angles are the same.
Are two triangles with the same area and perimeter always congruent?
I believe so, though I am not sure I can prove it.
What is congruences?
the strongest relationship a pair of triangles can have is congruence. two segments or two angles are congruent when they have the same measures. congruent triangles have exactly the same size and shape.
Do 2 triangles with 2 equal sides have the same area?
Only if the two triangles are congruent will they have equal areas. A third fact is required to determine they are congruent (and thus have the same area): 1) The third sides are equal; 2) The angles enclosed between the sides are equal; or 3) The same one of the sides is the hypotenuse of the triangles, which are right angled triangles.
Can two triangles with 2 congruent angles and 1 congruent side congruent?
Yes, they are. IF the side is between the two angles in both triangles,and all three items flow in the same direction in both triangles.
Are two triangles congruent if they have same area?
Not necessarily. You find the area of a triangle with the formula 1/2*base*height=Area. Imagine two triangles, one with 3 inches for both the base and height, and one with 4.5 inches for the height and 2 inches for the base. Both of these triangles will have 9 sq. in. for their areas, but they are not congruent.
