A. KL = ST B. JK= RS E. K =S -2023
'corresponding parts of congruent triangles are congruent'
CPCTC is an acronym for the phrase 'corresponding parts of congruent triangles are congruent' It means that once we know that two triangles are congruent, we know that all corresponding sides and angles are congruent.
A quadrilateral is a parallelogram if one pair of opposite sides are equal and parallel Let ABCD be a quadrilateral in which ABCD and AB=CD, where means parallel to. Construct line AC and create triangles ABC and ADC. Now, in triangles ABC and ADC, AB=CD (given) AC = AC (common side) Angle BAC=Angle ACD (corresponding parts of corresponding triangles or CPCTC) Triangle ABC is congruent to triangle CDA by Side Angle Side Angle BCA =Angle DAC by CPCTC And since these are alternate angles, ADBC. Thus in the quadrilateral ABCD, ABCD and ADBC. We conclude ABCD is a parallelogram. var content_characters_counter = '1032';
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If lmn xyz which congruences are true by cpctc: ml=yx ln=yz y=m
if abc=def which congruences are true by cpctc
ML=YZ ,
Angle HDE = angle HFG.
You can only use CPCTC after you prove the 2 triangles congruent.
T ≈ B TU ≈ BC S ≈ A
A. KL = ST B. JK= RS E. K =S -2023
QR=TU, QS=TV, angleR=angleU, and angleS= angleV
CPCTC represents Corresponding Parts of Congruent Triangles are Congruent. You would use this in Triangle Proofs.
You can prove that to triangles are congruent with SSS, then use CPCTC to prove that two corresponding angles of those triangles are congruent.
You can use it to corresponding parts of a trianglr
Once you have shown that two triangles are congruent you can use CPCTC (corresponding parts of congruent triangles are congruent) to show the congruence of the remaining sides and angles.