Question

match the corresponding parts of the congruent triangles.
a. \\( \overline { q r } \\)
b. \\( \angle r \\)
c. \\( \angle q \\)
d. \\( \overline { r s } \\)
e. \\( \angle s \\)
f. \\( \overline { s q } \\)

1. \\( \overline { k i } \\)
2. \\( \angle j \\)
3. \\( \angle k \\)
4. \\( \overline { i j } \\)
5. \\( \overline { j k } \\)
6. \\( \angle i \\)

Explanation:

Congruent triangles have corresponding sides and angles marked with identical symbols. Matching is based on these markings:

• $\overline{QR}$ (two ticks) ↔ $\overline{KI}$ (two ticks)
• $\angle R$ (three arcs) ↔ $\angle I$ (three arcs)
• $\angle Q$ (one arc) ↔ $\angle J$ (one arc)
• $\overline{RS}$ (two ticks) ↔ $\overline{IJ}$ (two ticks)
• $\angle S$ (one arc) ↔ $\angle K$ (one arc)
• $\overline{SQ}$ (one tick) ↔ $\overline{JK}$ (one tick)

Answer:

a. $\overline{QR}$ ↔ 1. $\overline{KI}$
b. $\angle R$ ↔ 6. $\angle I$
c. $\angle Q$ ↔ 2. $\angle J$
d. $\overline{RS}$ ↔ 4. $\overline{IJ}$
e. $\angle S$ ↔ 3. $\angle K$
f. $\overline{SQ}$ ↔ 5. $\overline{JK}$