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If two triangles have three pairs of congruent angles the the triangle is congruent?
Wiki User
∙ 13y ago
Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent.
This answer is wrong. The triangles are only similar.
For congruent trisngles we have the following theorems = Side - side - side,
Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.
Wiki User
∙ 13y ago
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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 are the triangles guaranteed to be congruent?
false
What are the four congruence postulates?
The postulates that involve congruence are the following :SSS (Side-Side-Side) Congruence Postulate - If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.SAS (Side-Angle-Side) Congruence Postulate - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.ASA (Angle-Side-Angle) Congruence Postulate - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.The two other congruence postulates are :AA (Angle-Angle) Similarity Postulate - If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.Corresponding Angles Postulate - If two parallel lines are cut by a transversal, then the pairs of corresponding angles are 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
If two triangles have three pairs of congruent angles then the triangles are guaranteed to be congruent is that true or false?
trueImproved Answer:-It is false because the triangles could be similar in shape but not in size
Is it true that two triangles have 3 pairs of congruent angles then the triangle are not guaranteed to be congruent?
When two triangles are congruent, there are 6 facts that are true about the triangles. The triangles have 3 sets of congruent (of equal length) sides and the triangles have 3 sets of congruent (of equal measure) angles.
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 are the triangles guaranteed to be congruent?
false
If two triangles have three pairs of congruent angles, then the triangles are guaranteed to be congruent?
false
When working with congruent triangles why is it only necessary to be given two pairs of congruent angles to know that all three pairs of angles will be congruent?
Because ALL triangles total 180o...
What does SAA triangle mean?
Two pairs of congruent angles and one pair of congruent sides ( sides not between the pairs of angles ).
What are the four congruence postulates?
The postulates that involve congruence are the following :SSS (Side-Side-Side) Congruence Postulate - If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.SAS (Side-Angle-Side) Congruence Postulate - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.ASA (Angle-Side-Angle) Congruence Postulate - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.The two other congruence postulates are :AA (Angle-Angle) Similarity Postulate - If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.Corresponding Angles Postulate - If two parallel lines are cut by a transversal, then the pairs of corresponding angles are 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
If two triangles have three pairs of congruent angles then the triangles are guaranteed to be congruent is that true or false?
trueImproved Answer:-It is false because the triangles could be similar in shape but not in size
What are not congruence theorems?
I am guessing you are interested in triangles. Here are two false triangle congruence theorem conjectures.1, If the angles of one triangle are equal respectively to the angles of another triangle, the triangles are congruent. ( abbreviated AAA).2. If two sides and one angle of a triangle are equal respectively the two sides and one angle of another triangle, the triangles are congruent. (abbreviated SSA)Comment: Draw triangles with pairs of equal sides but in which the included angle between the equal sides is acute in one case and obtuse in the others.
If two triangles have three pairs of congruent angles are the triangles guaranteed to be congruent?
No- triangles with all angles respectively equal need not be congruent. For example, all equilateral triangles have 3 angles of 60 degrees each but the the sides could be any length. However the sides of such triangles are proportional - such triangles are called similar. They look alike except for their scale.
What does angle angle side mean?
Angle Angle Side is a method one can use to prove that two triangles are congruent. Basically, if any two pairs of angles and the side between these angles are congruent, then the triangles are congruent as well.
