Question

state the property of congruence that makes each statement true. the first one is done for you. 1. if $overline{jk}congoverline{pq}$ and $overline{pq}congoverline{tr}$, then $overline{jk}congoverline{tr}$. transitive property of congruence 2. $overline{st}congoverline{st}$ 3. if $overline{pq}congoverline{jk}$ and $overline{jk}congoverline{lm}$, then $overline{pq}congoverline{lm}$. 4. if $overline{st}congoverline{lm}$, then $overline{lm}congoverline{st}$. 5. $overline{hj}congoverline{hj}$ 6. $overline{pq}congoverline{fg}$ so $overline{fg}congoverline{pq}$. 7. $overline{ab}congoverline{fg}$ and $overline{fg}congoverline{kl}$ so $overline{ab}congoverline{kl}$. 8. segment 1 $cong$ segment 2 so segment 2 $cong$ segment 1.

Explanation:

• 2: A segment is congruent to itself, which is the Reflexive Property of Congruence.
• 3: If one segment is congruent to a second and the second to a third, the first is congruent to the third, which is the Transitive Property of Congruence.
• 4: If two segments are congruent, their order can be reversed, which is the Symmetric Property of Congruence.
• 5: A segment is congruent to itself, Reflexive Property of Congruence.
• 6: If two segments are congruent, their order can be reversed, Symmetric Property of Congruence.
• 7: If one segment is congruent to a second and the second to a third, the first is congruent to the third, Transitive Property of Congruence.
• 8: If two segments are congruent, their order can be reversed, Symmetric Property of Congruence.

Answer:

1. Reflexive Property of Congruence
2. Transitive Property of Congruence
3. Symmetric Property of Congruence
4. Reflexive Property of Congruence
5. Symmetric Property of Congruence
6. Transitive Property of Congruence
7. Symmetric Property of Congruence