Question

what are the corresponding parts of the figures below? select all that apply.

(images of two triangles with angle and side length labels, and multiple - choice options: (overline{jh}congoverline{tr}), (angle icongangle t), (angle hcongangle r), (angle icongangle s))

Explanation:

Step1: Analyze Corresponding Sides

Check side lengths. \( \overline{JH} = 19 \) ft, \( \overline{TR} = 19 \) ft, so \( \overline{JH} \cong \overline{TR} \) (correct).

Step2: Analyze Corresponding Angles

• \( \angle I = 21^\circ \), \( \angle S = 21^\circ \), so \( \angle I \cong \angle S \) (correct, not \( \angle I \cong \angle T \) as \( \angle T = 115^\circ \)).
• \( \angle H = 44^\circ \), \( \angle R = 44^\circ \), so \( \angle H \cong \angle R \) (correct).
• \( \angle I \cong \angle T \) is wrong ( \( \angle T = 115^\circ \), \( \angle I = 21^\circ \) ).

Answer:

\( \overline{JH} \cong \overline{TR} \), \( \angle H \cong \angle R \), \( \angle I \cong \angle S \) (The incorrect one is \( \angle I \cong \angle T \); correct corresponding parts: \( \overline{JH} \cong \overline{TR} \), \( \angle H \cong \angle R \), \( \angle I \cong \angle S \))