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This is the 'Proof' for congruent triangles.
NB There are other 'proofs' too!!!
They are
SSS = Side, Side, Side
ASA = Angle, side, angle.
but NOT 'AAA'
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What does it mean for a side or angle to be included?
The 'included side' is the side between the two given angles. The 'included angle' is the angle between the two given sides.
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 makes a quadrilateral unique?
4 sides and 1 diagonal is given. 3 sides and 2 diagonals are given. 3 angles and measurement of two adjacent angles are given. 3 sides and 2 included angles are given. 4 sides and 1 angle is given.
What is the difference between angle side angle and angle angle side?
The first is two angles and the included side whereas the second is two sides and the included angle!
What is the point that two sides of a polygon have in common?
Any two adjacent sides on a polygon will form an included angle.
What does it mean for a side or angle to be included?
The 'included side' is the side between the two given angles. The 'included angle' is the angle between the two given sides.
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 thinker invented the formula for triangles?
The question depends on which formula. There is a formula for the perimeter; there are at least two formulae for the area when given all three sides, one when given two sides and the included angle, another if given two angles and the included side.
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 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.
What makes a quadrilateral unique?
4 sides and 1 diagonal is given. 3 sides and 2 diagonals are given. 3 angles and measurement of two adjacent angles are given. 3 sides and 2 included angles are given. 4 sides and 1 angle is given.
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.
What is the point that two sides of a polygon have in common?
Any two adjacent sides on a polygon will form an included angle.
What is the difference between angle side angle and angle angle side?
The first is two angles and the included side whereas the second is two sides and the included angle!
How do you find all the angles of a triangle with only one angle available?
it is impossible to do because you need at least 2 angles to tell the other one All unknown sides and angles of a triangle can be found only when one side and two angles, two sides and the included angle, two sides and an angle opposite one of them, or three sides are given. All you will know is that the sum of the other two angels is 180 - (value of known angle).
What name is given to the two sides of the triangle that form the right angle?
The two shorter sides are the legs.
What postulate states that two triangles are congruent if two sides and an included angle are congruent?
The SAS (Side-Angle-Side) postulate.
