daniko883y

2022-10-06

Name the corresponding parts in the pair of congruent triangles. Then complete the congruence statement. $$\mathrm{\u25b3}NPQ\cong \mathrm{\u25b3}DEF;\mathrm{\u25b3}EFD\cong $$ ___

Domenigmh

Beginner2022-10-07Added 7 answers

Use the order of the vertices in the congruence statement $$\mathrm{\u25b3}NPQ\cong \mathrm{\u25b3}DEF$$.

Corresponding angles: $$\mathrm{\angle}N\cong \mathrm{\angle}D,\mathrm{\angle}P\cong \mathrm{\angle}E,\mathrm{\angle}Q\cong \mathrm{\angle}F$$

Corresponding sides: $$\overline{NP}\cong \overline{DE},\overline{PQ}\cong \overline{EF},\overline{QN}\cong \overline{FD}$$

The congruence statement is:

$$\mathrm{\u25b3}EFD\cong \mathrm{\u25b3}PQN$$

Result:

$$\mathrm{\u25b3}EFD\cong \mathrm{\u25b3}PQN$$

Corresponding angles: $$\mathrm{\angle}N\cong \mathrm{\angle}D,\mathrm{\angle}P\cong \mathrm{\angle}E,\mathrm{\angle}Q\cong \mathrm{\angle}F$$

Corresponding sides: $$\overline{NP}\cong \overline{DE},\overline{PQ}\cong \overline{EF},\overline{QN}\cong \overline{FD}$$

The congruence statement is:

$$\mathrm{\u25b3}EFD\cong \mathrm{\u25b3}PQN$$

Result:

$$\mathrm{\u25b3}EFD\cong \mathrm{\u25b3}PQN$$

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