Which similarity statement describes the relationship between a triangle with angles m∠A=48°

Question

, 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

△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
triangle upper B upper A upper C tilde triangle upper H upper I upper J

△BCA∼△JIH

Answer 1

To determine the similarity between the two triangles based on their angles, we can look at the measures of the 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°

The two triangles have the same angles but in a different order.

For similar triangles, the corresponding angles must match. In this case:

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

Thus, the correct similarity statement would pair them according to the order of their vertices where the angles match:

△ABC∼△HIJ

This means that Triangle ABC is similar to Triangle HIJ, noting that the angles correspond correctly.