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An equilateral triangle is one where all sides are of equal length and all internal angles are 60 degrees.

An isosceles triangle is one where 2 adjacent angles are of equal size and 2 adjacent sides are of equal length.

A scalar triangle is one where no sides are equal in length and no angles are equal in size.

A right-angled triangle is one where one of the internal angles is 90 degrees.

The internal angles of all triangles always add up to 180 degrees.

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If two angles and a nonincluded side of one triangle are comgurent to the corresponding two angles and side of another then the triangles are congruent?

Yes, if two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another triangle, then the triangles are congruent by the Angle-Angle-Side (AAS) postulate. This postulate states that if two angles and a side that is not between them are congruent in two triangles, the triangles must be identical in shape and size. Therefore, the triangles are 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.


If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?

False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.


Are angles congruent when their side measures are the same?

Yes, angles are congruent when their side measures are the same, specifically in the case of triangles. If two angles have sides of equal length, they can be considered congruent due to the properties of isosceles triangles or by using the Side-Angle-Side (SAS) or Angle-Side-Angle (ASA) congruence criteria. However, for angles outside of triangles, having the same side lengths does not guarantee congruence unless the angles are formed in a context where their measures can be directly compared.


The triangles shown below may not be congruent.?

To determine if the triangles are congruent, we need to compare their corresponding sides and angles. Congruence between triangles can be established using criteria such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS). If the triangles do not meet any of these criteria, they are not congruent. Thus, without specific measurements or angles, we cannot conclude that the triangles are congruent.

Related Questions

If two angles and a nonincluded side of one triangle are comgurent to the corresponding two angles and side of another then the triangles are congruent?

Yes, if two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another triangle, then the triangles are congruent by the Angle-Angle-Side (AAS) postulate. This postulate states that if two angles and a side that is not between them are congruent in two triangles, the triangles must be identical in shape and size. Therefore, the triangles are congruent.


Are triangles congruent if so how do you know?

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.


What is angle side angle prostulate?

If 2 "corresponding" angles of two triangles and the side between the two angles are equal, then the two triangles are congruent. This means all their "corresponding" sides and angles are equal.


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.


If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?

False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.


Are angles congruent when their side measures are the same?

Yes, angles are congruent when their side measures are the same, specifically in the case of triangles. If two angles have sides of equal length, they can be considered congruent due to the properties of isosceles triangles or by using the Side-Angle-Side (SAS) or Angle-Side-Angle (ASA) congruence criteria. However, for angles outside of triangles, having the same side lengths does not guarantee congruence unless the angles are formed in a context where their measures can be directly compared.


The triangles shown below may not be congruent.?

To determine if the triangles are congruent, we need to compare their corresponding sides and angles. Congruence between triangles can be established using criteria such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS). If the triangles do not meet any of these criteria, they are not congruent. Thus, without specific measurements or angles, we cannot conclude that the triangles are congruent.


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.


How do you know if triangles are similar?

If they have the same angles, but different side lengths.


Is side opposite to equal angles of two triangles are equal or not?

Yes


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.


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