Triangle ABC is congruent to triangle DEF .

Which statement must be true about the triangles?

A) m∠F=m∠B
B) AC = DE
C) CB = DE
D) m∠C=m∠F

Respuesta :

Answer:

Option D is correct

[tex]m\angle C = m\angle F[/tex] statement must be true about the triangles.

Explanation:

If [tex]\triangle ABC[/tex] is congruent to ΔDEF then, all the corresponding angles are congruent and all corresponding sides are congruent.

i.e,

[tex]m\angle A= m\angle D[/tex]              

[tex]m\angle B= m\angle E[/tex]

[tex]m\angle C =m\angle F[/tex]

And

Segment AB = Segment DE

Segment AC = Segment DF

Segment BC = Segment EF

The only statement from the options that is true about the triangles is,

[tex]m\angle C = m\angle F[/tex]




Ver imagen OrethaWilkison

For Triangle ABC to be congruent to triangle DEF, m∠C=m∠F.

Congruent triangle

Two triangles are said to be congruent if they have the same measure of corresponding sides. That is all their corresponding sides and corresponding angles are equal to each other.

Given that Triangle ABC is congruent to triangle DEF. hence:

AB = DE, AC = DF, BC = EF; m∠A = m∠D, m∠B=m∠E, m∠C=m∠F

For Triangle ABC to be congruent to triangle DEF, m∠C=m∠F.

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