Respuesta :

Answer:

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.

[tex]\angle A\cong \angle D[/tex]

[tex]\angle B\cong \angle E[/tex]

[tex]\angle C\cong \angle F[/tex]

The corresponding side of both triangles are congruent.

[tex]\angle AB\cong \angle DE[/tex]

[tex]\angle BC\cong \angle EF[/tex]

[tex]\angle AC\cong \angle DF[/tex]

Therefore the correct options are A and B.

The congruencies that are true are;

A. [tex]\overline{AB}[/tex] ≅ [tex]\overline{DE}[/tex], 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;

  • [tex]\overline{AB}[/tex] ≅ [tex]\overline{DE}[/tex]

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

  • ∴ ∠C ≅ ∠F

While the other options; ∠E and ∠C, ∠A and ∠E, [tex]\overline{AB}[/tex] and [tex]\overline{DF}[/tex], and [tex]\overline{AC}[/tex] and [tex]\overline{DE}[/tex] are not corresponding parts and they are therefore not congruent

The congruencies that are true are; A. [tex]\overline{AB}[/tex] ≅ [tex]\overline{DE}[/tex], and B. ∠C ≅ ∠F

Learn more about CPCTC here:

https://brainly.com/question/1805755

Ver imagen oeerivona

Otras preguntas