If abc~def which congruences are true by cpctc?

The congruencies that are true are;

A. ≅ , and B. ∠C ≅ ∠F

The reason the selected options are correct is given as follows;

Known parameter;

ΔABC ≅ ΔDEF (Change of ~ to ≅ based on complete question accompanying screen grab as posted online)

CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent

Required: To select the congruences that are true

Solution:

By observation, the height of ΔABC is equal to the height of ΔDEF, therefore;

∠C and ∠F are angles located in corresponding parts of both triangles

While the other options; ∠E and ∠C, ∠A and ∠E, and , and and are not corresponding parts and they are therefore not congruent

The congruencies that are true are; A. ≅ , and B. ∠C ≅ ∠F

Learn more about CPCTC here:

link

The correct options are A and B.

Step-by-step explanation:

Given information: ΔABC≅DEF

Corresponding parts of congruent triangle are congruent (CPCTC).

The corresponding angles of both triangles are congruent.

The corresponding side of both triangles are congruent.

Therefore the correct options are A and B.

f

step-by-step explanation:

f

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