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What Triangles are congruent it they have the same?
If a triangle has the same 3 sides and the same 3 angles as another triangle then they are said to be congruent.
What is the Converse of isosceles triangle theorem?
The isosceles triangle theorem states that if two sides of a triangle are congruent, the angles opposite of them are congruent. The converse of this theorem states that if two angles of a triangle are congruent, the sides that are opposite of them are congruent.
What type of triangle has all sides are congruent and all the angles are congruent?
An equalaterial triangle has all three sides the same length. Also all three angles are the same (60 degrees.)
What triangle has no two sides congruent?
Equilateral: All angles the same Isosceles: Two angles the same Scalene: No angles the same
How is a triangle congruent?
If all the sides are same length and/or the angles are the same measure.
Can congruent polygons have unequal corresponding lengths?
Yes providing the interior angles remain the same as for example a scalene triangle has unequal sides but it can be congruent to another scalene triangle that has the same sides and angles.
What is a counter example for the statement congruent angles are always vertical angles?
Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. An example of congruent angles which are not vertical angles are the 3 interior angles of an equilateral triangle. These angles do not share the same vertex yet they are congruent.
What is a congruent triangle?
A congruent triangle is one where all the angles are identical to those of another triangle, or equivalently, all three sides are the same ratio to the sides of another triangle.
What is a congruent equilateral triangles?
In a congruent equilateral triangle all 3 sides are the same length and all 3 angles are the same.
What are the different of congruent triangle and similar triangle?
The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.
What does Scalene Isosceles Equilateral triangle mean?
Scalene triangle - a triangle where none of the sides are the same length.Isosceles triangle - a triangle where two sides of the triangle, or the legs, are the same lengthEquilateral triangle - a triangle with all side lengths congruent and all included angles congruent
What are the properties of a equalateral triangle?
All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).
