Question

1. in the figure triangle jts is a translation of triangle hij us ing the directed line segment hj. mark the congruent sides and congruent angles in the diagram.

$\triangle hijcong\triangle jts$

Explanation:

Step1: Use the property of translation

Translation is a transformation that moves every point of a figure or space by the same distance in a given direction. When a figure is translated, the corresponding sides and angles of the original figure and its translated image are congruent.

Step2: Identify corresponding parts

Since triangle \( JTS \) is a translation of triangle \( JHI \) along the directed line segment \( HJ \), the corresponding sides and angles are congruent.

• Corresponding sides: \( JT\cong JH \), \( JS\cong JI \), \( TS\cong HI \)
• Corresponding angles: \( \angle T\cong\angle H \), \( \angle S\cong\angle I \), \( \angle TJS\cong\angle HJI \)

Answer:

Corresponding sides: \( JT\cong JH \), \( JS\cong JI \), \( TS\cong HI \); Corresponding angles: \( \angle T\cong\angle H \), \( \angle S\cong\angle I \), \( \angle TJS\cong\angle HJI \)