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The triangles are similar, but not necessarily congruent.
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What are iscosoles and scalene triangles?
iscosoles triangles have two angles that are equal with two of the same lenght sides and scalene triangle have no sides or angles that are the same
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 two triangles have three pairs of congruent angles then the triangles are guaranteed to be congruent true or false?
False, because they could be similar triangles having the same angles but proportionally different side lengths
It's possible to build two triangles with all the same angles that are not congruent?
True
What are iscosoles and scalene triangles?
iscosoles triangles have two angles that are equal with two of the same lenght sides and scalene triangle have no sides or angles that are the same
What are two congruent triangles?
They are two triangles whose corresponding sides and angles are the same.
If two angles of one triangle are equal to two angles of another triangle then the triangles are similar because of the?
If the angles are the same and the sides are proportional by ratio then they are said to be similar triangles.
How you can prove that the angles of two triangles are equal?
If the angles of two triangles are equal the triangles are similar. AAA If you have three angles on both triangles these must be equal for the triangles to be similar. SAS If you have an angle between two sides and the length of the sides and the angle are the same on both triangles, then the triangles are similar. And SSS If you know the three sides
Why are triangles congruent that have three sides but the same is not true for triangles that have the same three angles?
The same three sides also determine the angles uniquely. However, the same three angles do not uniquely determine the sides: they only determine the ratio between the sides. So, two triangles with the same angles can be of different size (similar triangles).
Are all right triangles an isosceles triangles?
Yes- but not all isosceles triangles are right triangles. Isosceles means that two sides are the same length, and two angles are the same.
What size and shape do two congruent triangles have?
to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. :)
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.
Is it true that AAA angle-angle-angle does not guarantee congruence between two triangles?
The answer is no. When two triangles are congruent all three corresponding sides are the same and all three corresponding angles are the same. Two triangles with the same corresponding angles can have corresponding sides different so they are not congruent.
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 equilateral triangles sometimes always or never similar to each other?
Since triangles have three sides and must have interior angles equal to pi or 180o, the three interior angles in all equilateral triangles will be pi/3 or 60o.However, equilateral triangles must also have equal side lengths. Since equilateral triangles with interior angles of 60o will not necessarily have the same side lengths, two equilateral triangles will sometimes be similar to each other.
