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How do you find a triangle congruent by cpctc?
A triangle if not found congruent by CPCTC as CPCTC only applies to triangles proven to be congruent. If triangle ABC is congruent to triangle DEF because they have the same side lengths (SSS) then we know Angle ABC (angle B) is congruent to Angle DEF (Angle E)
How do you prove triangles similar?
To prove that two or more triangles are similar, you must know either SSS, SAS, AAA or ASA. That is, Side-Side-Side, Side-Angle-Side, Angle-Angle-Angle or Angle-Side-Angle. If the sides are proportionate and the angles are equal in any of these four patterns, then the triangles are similar.
What is CPCTC?
CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.Here are some examples that I hope can help you throughExample 1:Let's say that Triangle ABC has these measures:Let's also say that Triangle DEF has the measures:Then you know that angle C is congruent to angle F through CPCTC.Example 2:Let's say that Triangle ABC has these measures:Let's also say that Triangle DEF has the measures:Then you know that side CA is congruent to side FD through CPCTC.Example 3:Let's say that Triangle ABC has these measures:Let's also say that Triangle DEF has these measures:Then you know that side AC is congruent to DF through CPCTC.You also know that angle C is congruent to angle F through CPCTC.You also know that angle A is congruent to angle D through CPCTC.
How do you know if two figures are congruent or not?
They are congruent if they are identical in shape and size.
How do you know if a two triangles are congruent?
There are 4 tests that can be used, depending upon what you have:1) SSS (Side-Side-Side) - all three corresponding sides of the triangles are equal.2) AAS (Angle-Angle-Side) - two corresponding angles and one corresponding side are equal3) SAS (Side-Angle-Side) - two corresponding sides and the *ENCLOSED* angle are the same4) RHS (Right angle-Hypotenuse-Side) - The triangles are Right-angled with Hypotenuse and corresponding side equalIn test 2, if two angles are given then the third angle can be calculated, thus the order does not matter and ASA(Angle-Side-Angle) is equivalent and also proves congruency.Note the importance in test 3 that the angle is enclosed between the corresponding sides. If it is not enclosed, the triangles may be congruent, but they may also NOT be congruent. In this case the test you are using is Angle-Side-Side (ASS - which is what you would be to say that the triangles are congruent).Note that RHS is a special case of ASS (the only one which guarantees congruency) in that the angle MUST be a right angle (90°); this means that the third side of both triangles can be calculated using Pythagoras and RHS is effectively SSS.
