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Triangles MNO and RST are shown.

Which theorem could be used to prove that MNO = RST?

A.) Side - Side - Angle ( SSA)

B.) Angle - Side - Angle ( ASA)

C.) Side - Side - Side ( SSS)

D.) Side - Angle - Side ( SAS)​

Triangles MNO and RST are shownWhich theorem could be used to prove that MNO RSTA Side Side Angle SSAB Angle Side Angle ASAC Side Side Side SSSD Side Angle Side class=

Respuesta :

mathstudent55

Answer:

B.) Angle - Side - Angle (ASA)

Step-by-step explanation:

As you go from M to N to O, you have an Angle, a Side, and an Angle of one triangle congruent to corresponding parts of the other triangle.

This suggests: Angle - Side - Angle (ASA)

akposevictor

ΔMNO and ΔRST have two pairs of congruent angles and a pair of congruent included sides, therefore ΔMNO ≅ ΔRST can be proven using:

Angle - Side - Angle (ASA)

Recall:

  • The image attached below (see attachment) shows the different congruence theorem that can be used to prove two triangles are congruent were necessary.
  • The ASA Congruence Theorem proves that two triangles are congruent if they both have two pairs of congruent angles and a pair of congruent included sides in between the two angles in each of the triangles.

The triangles given shows that both have:

two pairs of congruent angles - ∠M ≅ ∠R and ∠N ≅ ∠S

a pair of included sides that are congruent - MN ≅ RS

Therefore, ΔMNO ≅ ΔRST by the: B.) Angle - Side - Angle (ASA)

Learn more about Angle - Side - Angle (ASA) on:

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