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assignment: naming congruent triangles and cpctc for #1 - 4, name the c…

Question

assignment: naming congruent triangles and cpctc
for #1 - 4, name the congruent triangles by completing the congruence statement.
1.△ogd≅△
2.△rac≅△
3.△lin≅△
4.△fox≅△

Explanation:

Step1: Identify corresponding vertices

By observing the congruent - marked sides and angles in the triangles, we match the vertices.

Step2: Write congruence statements

For two congruent triangles, the order of vertices in the congruence statement must match the corresponding vertices.

  1. In $\triangle{OGD}$ and the other triangle, by matching the marked sides and angles, we have $\triangle{OGD}\cong\triangle{OQP}$
  2. For $\triangle{RAC}$, by matching the marked sides and angles, $\triangle{RAC}\cong\triangle{RPG}$
  3. For $\triangle{LIN}$, by matching the marked sides and angles, $\triangle{LIN}\cong\triangle{IAB}$
  4. For $\triangle{FOX}$, by matching the marked sides and angles, $\triangle{FOX}\cong\triangle{BOX}$

Answer:

  1. $\triangle{OGD}\cong\triangle{OQP}$
  2. $\triangle{RAC}\cong\triangle{RPG}$
  3. $\triangle{LIN}\cong\triangle{IAB}$
  4. $\triangle{FOX}\cong\triangle{BOX}$