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What is Side Angle Side?
If two sides and the included angle of one of one of the triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Does the angle bisector of the vertex angle of an isosceles triangle divides the triangle into two congruent?
Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.
What is the definition for angle side angle?
In the context of congruent triangle theorems, it means that a pair of angles in corresponding locations in two triangles, and the sides that are included between them, are congruent. That being the case, the two triangles are congruent.
What does side angle side mean?
side angle side means if two sides in their included angle in one triangle are congruent to the corisponding parts of the second triangle then the triangles are congruent so only if they are congruent. i need it for a classs...
What is the meaning of Side angle side Congruence?
It means that if two triangles have two sides with the lengths of the corresponding sides that are equal (congruent) and the angles between between the two sides congruent, then the triangles are congruent (i.e., the three corresponding lengths of sides and three corresponding angles are all congruent). For example, if you know that triangle one has sides of length 1 and 2 and the angle between the two sides is 60 degrees and that triangle two has sides of length 1 and 2 and the angle between the two sides is 60 degrees, this theorem says that the triangles are congruent, so the length of third side of both triangles is the same and the measure of the other two angles in triangle one is the ame as the measure of the other two angles in triangle two.
What is Side Angle Side?
If two sides and the included angle of one of one of the triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
What is the angle-angle-side rule?
Side-Angle-Side is a rule used in geometry to prove triangles congruent. The rule states that if two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent. An included angle is an angle created by two sides of a triangle.
What is the SAS postulate?
The SAS Postulate states if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Classification of triangle?
Classification of triangles according to sides: -Scalene Triangle - a triangle with no 2 congruent sides. -Isosceles Triangle - a triangle with at least 2 congruent sides. -Equilateral Triangle - a triangle with 3 congruent sides. Classification of triangles according to angles: -acute triangle - a triangle with 3 acute angles. -right triangle - a triangle with one right angle. -equiangular triangle - a triangle with 3 congruent angles. -obtuse triangle - a triangle with one obtuse angle.
Kinds of triangle according to number of congruent sides?
All triangles have 3 sides and 3 interior angles that add up to 180 degrees. Equilateral triangles have 3 congruent sides. Isosceles triangles have 2 congruent sides. A right angle triangle can have 2 congruent sides if its interior angles are 90, 45, 45 degrees. A scalene or an obtuse triangle has no congruent sides.
Is this statement true or falseIf two sides and one angle of one triangle are congruent to two sides and one angle of another triangle, then the triangles are congruent by the Side-Angle-Side Postulate?
false
What is the triangle equality theorem?
Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
What do the triangles look like and what are the names?
Equilateral triangle = All sides congruent Scalene triangle = No sides congruent Isosceles triangle = At LEAST two sides congruent Right triangle = Triangle with one right angle Obtuse triangle = Triangle with ONE obtuse angle Acute triangle = Triangle with ALL acute angles
What must be shown to be congruent in order to say that the triangles are congruent by SAS?
Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.
If two triangles have a congruent angle and two congruent sides then are the triangles guaranteed to be congruent?
Only if the congruent angle is the angle between the two congruent sides (SAS postulate).
How do you describe triangles by the sides?
Scalene Triangle- a triangle with no congruent sides Isosceles Triangle- a triangle with two congruent sides Equilateral Triangle- a triangle with three congruent sides
What triangle has at least two congruent sides?
Isosceles Triangle Isosceles TriangleIsosceles triangles have at least 2 congruent sides, and equilateral triangles have all 3 sides equal. A scalene triangle has no congruent sides or angles. All triangles have 180 degrees total.An equilateral triangle has three congruent sides and an isosceles triangle has two congruent sides.
