Which of the following statements is true if m∠E = m∠Y and m∠F = m∠X?

A. m∠E > m∠Z
B. The measure of each segment in ΔYXZ is three times the size of those in ΔEFG.
C. ΔEFG ≅ ΔYXZ
D. There is a sequence of rigid motions and dilations that map ΔEFG onto ΔYXZ.

Which of the following statements is true if mE mY and mF mX A mE gt mZ B The measure of each segment in ΔYXZ is three times the size of those in ΔEFG C ΔEFG ΔY class=

Respuesta :

Similar triangles may or may not be congruent.

The true statement is (c) [tex]\mathbf{\trangle EFG \cong \angle YXZ}[/tex]

The given parameters are:

[tex]\mathbf{\angle E \cong \angle Y}[/tex]

[tex]\mathbf{\angle F \cong \angle X}[/tex]

The above angles are corresponding angles, and they are also congruent angles

This implies that:

The triangles are similar (not congruent) by AA postulate.

So, we have:

[tex]\mathbf{\trangle EFG \cong \angle YXZ}[/tex]

Hence, the true statement is (c) [tex]\mathbf{\trangle EFG \cong \angle YXZ}[/tex]

Read more about similar triangles at:

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