Proving Triangles are Congruent SSS and SAS
Similar Triangles:
When two triangles have the same shape but different sizes they are referred to as similar triangles. Symbolically, it can be written as, "~".
Congruent Triangles:
When two triangles have the same shape and same size they are referred to as congruent triangles. They are also referred to as the special type of similar triangles.
Two triangles are said to congruent if,
Side Angle Side Congruence Postulate:
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are said to be congruent.
What is an included angle?
An included side means the side included between the angles.
Consider the following example:
Prove, ΔDEF is congruent ΔGHI, that is, ΔDEF = ΔGHI. Proof:
DEF = GHI (angle)
Side Side Side Postulate: If three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent. Consider the following example: Prove that ΔDEF is congruent toΔGHI, that is, ΔDEF = ΔGHI
Proof: To prove:ΔDEF = ΔGHI
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