Just because they look the same does not mean they are. Normally if sides are congruent they are marked by the same indicator. Which is usually a line, number, or letter. Same thing with angles, except angles would not use lines to indicate congruency. If you have any three congruent parts on triangles (the number may change due the shape) then those triangles are congruent.
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You can only use CPCTC after you prove the 2 triangles congruent.
1. There are two right triangles. 2. They have congruent hypotenuses. 3. They have one pair of congruent legs.
A+
The 5 ways to prove that two triangles are congruent are to find equal: 1) side-side-side 2) side-angle-side 3) angle-side-angle 4) angle-angle-angle 5) hypotenuse-leg
Given: AD perpendicular to BC; angle BAD congruent to CAD Prove: ABC is isosceles Plan: Principle a.s.a Proof: 1. angle BAD congruent to angle CAD (given) 2. Since AD is perpendicular to BC, then the angle BDA is congruent to the angle CDA (all right angles are congruent). 3. AD is congruent to AD (reflexive property) 4. triangle BAD congruent to triangle CAD (principle a.s.a) 5. AB is congruent to AC (corresponding parts of congruent triangles are congruent) 6. triangle ABC is isosceles (it has two congruent sides)