Ask a New Question
Menu

Which similarity statement describes the relationship between a triangle with angles m∠A=48°, m∠B=17°, and m∠C=115° and another triangle with angles m∠H=17°, m∠I=48°, and m∠J=115° ?(1 point) Responses △BCA∼△JIH triangle upper B upper C upper A tilde triangle upper J upper I upper H △CAB∼△JHI triangle upper C upper A upper B tilde triangle upper J upper H upper I △ABC∼△HIJ triangle upper A upper B upper C tilde triangle upper H upper I upper J △BAC∼△HIJ

1 answer

To determine the similarity statement for the two triangles given the angles, we can first compare the corresponding angles.

For triangle ABC:

  • m∠A = 48°
  • m∠B = 17°
  • m∠C = 115°

For triangle HIJ:

  • m∠H = 17°
  • m∠I = 48°
  • m∠J = 115°

We can match the angles as follows:

  • Angle A (48°) corresponds to Angle I (48°)
  • Angle B (17°) corresponds to Angle H (17°)
  • Angle C (115°) corresponds to Angle J (115°)

Since the corresponding angles are equal, the triangles are similar.

To express the similarity statement correctly, we can arrange the vertices in corresponding order. The most logical alignment based on the order of angles is:

  • A corresponds to I
  • B corresponds to H
  • C corresponds to J

Thus, the similarity statement is:

\(\triangle ABC \sim \triangle HIJ\)

This corresponds to the response:

△ABC∼△HIJ