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HELLO! I'm in geometry and I really need help with these questions THANK YOU!:

Given Triangle ABC and Triangle DEF below, how would you use CPCTC to prove Angle A is congruent to Angle D?

Describe the transformations going from Triangle ABC to Triangle DEF.

HELLO Im in geometry and I really need help with these questions THANK YOUGiven Triangle ABC and Triangle DEF below how would you use CPCTC to prove Angle A is class=

Respuesta :

ΔABC ≅ ΔDEF by the SAS congruence theorem, hence, using the CPCTC theorem, ∠A ≅ ∠D.

What is the Side-angle-side Congruence Theorem (SAS)?

The side-angle-side congruence theorem (SAS) states that two triangles are congruent if they have a pair of included congruent angles and two pairs of congruent sides that are corresponding to each other.

What is the CPCTC Theorem?

The CPCTC theorem states that if two triangles are congruent, then every of their corresponding parts are congruent to each other.

Triangles ABC and DEF have:

Two pairs of congruent sides - AC ≅ FD and BC ≅ EF

One pair of congruent included angles - ∠C ≅ ∠F

Therefore, ΔABC ≅ ΔDEF by the SAS congruence theorem.

Since ΔABC ≅ ΔDEF, all its corresponding parts will be congruent to each other based on the CPCTC theorem.

Therefore, ∠A ≅ ∠D by CPCTC.

Learn more about the SAS congruence theorem on:

https://brainly.com/question/2102943

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