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What conditions will ensure that two isosceles triangles are congruent?
The triangles have the same side lengths.
Similar triangles are triangles whose corresponding?
angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.
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.
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.
What are the two properties of congruent triangles?
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
The LL theorem states that for right triangles two congruent what are sufficient to prove congruence of the triangles?
LEGS
What conditions will ensure that two isosceles triangles are congruent?
The triangles have the same side lengths.
Similar triangles are triangles whose corresponding?
angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.
To use the HL theorem to prove two triangles are congruent the triangles must be right trianglesWhich other conditions must also be met?
1. There are two right triangles. 2. They have congruent hypotenuses. 3. They have one pair of congruent legs.
Triangles that have their corresponding parts congruent?
Are congruent triangles.
What postulate or theorem verifies the congruence of triangles?
sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.
What are three ways that you can prove that triangles are congruent?
If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.
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.
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.
What are the two properties of congruent triangles?
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
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 all corresponding sides and angles of two triangles are congruent those triangles are?
The triangles are also congruent.
