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△ABC∼△PQR

Which statements are true?

Select each correct answer.

AB/PQ=BC/QR

∠B≅∠Q

m∠A=m∠P

AC¯¯¯¯¯≅PR¯¯¯¯¯

BC=QR

Respuesta :

The correct answers are

AB/PQ = BC/QR

∠B ≅ ∠Q

m∠A = m∠P 

the other two are incorrect
AC¯≅ PR¯
BC = QR

Answer:

The true statements are 1, 2 and 3.

Step-by-step explanation:

Given information: [tex]\triangle ABC\sim \triangle PQR[/tex].

Two triangles are called similar triangles if their corresponding sides are proportional or corresponding interior angles are equal.

It is given that [tex]\triangle ABC\sim \triangle PQR[/tex], so we get

[tex]\angle A=\angle P[/tex]

[tex]\angle B=\angle Q[/tex]

[tex]\angle C=\angle R[/tex]

[tex]\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}[/tex]

Therefore options 1, 2 and 3 are correct.

The corresponding sides of similar triangles are proportional but not congruent, therefore options 4 and 5 are incorrect.