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If two triangles have three pairs of congruent angles the the triangle is congruent?
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.
What else can I help you with?
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 the triangles are guaranteed to be congruent?
false
If two triangles have three pairs of congruent angles then are the triangles 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...
Which overlaping triangles are congruent by asa?
To determine which overlapping triangles are congruent by the Angle-Side-Angle (ASA) postulate, you need to identify two angles and the included side of one triangle that correspond to two angles and the included side of another triangle. If both triangles share a side and have two pairs of equal angles, then they are congruent by ASA. For a specific example, if triangles ABC and DEF share side BC and have ∠A = ∠D and ∠B = ∠E, then triangles ABC and DEF are congruent by ASA.
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 the the triangles are not guarenteed to be congruent?
If two triangles have three pairs of congruent angles, they are said to be similar but not necessarily congruent. Similar triangles have the same shape but can differ in size, meaning their corresponding sides are in proportion but not equal. For triangles to be congruent, both their angles and corresponding sides must be equal, which is not guaranteed if only angle congruence is established. Therefore, while angle congruence indicates similarity, it does not ensure congruence.
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.
