White a similarity statement relating the three triangles in the dagram.

Steps to Write a Similarity Statement for Triangles:

1. Identify the Triangles:
   • Let’s name the triangles Triangle ABC, Triangle DEF, and Triangle GHI for reference.
2. Identify Corresponding Angles:
   • Check which angles in the triangles are equal. For example, if ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F, then the triangles are similar by the Angle-Angle (AA) Similarity Postulate.
3. Identify Corresponding Sides:
   • Check if the sides of one triangle are proportional to the sides of another triangle. For example, if AB/DE = BC/EF = CA/FD, then the triangles are similar by the Side-Side-Side (SSS) Similarity Theorem.
4. Write the Similarity Statement:
   • A similarity statement shows that two triangles are similar and specifies the correspondence between their vertices.
   • For example:
     • Triangle ABC ~ Triangle DEF
     • Triangle ABC ~ Triangle GHI
     • Triangle DEF ~ Triangle GHI

Example Similarity Statement:

• Triangle 1: ABC
• Triangle 2: DEF
• Triangle 3: GHI

• ∠A ≅ ∠D ≅ ∠G
• ∠B ≅ ∠E ≅ ∠H
• ∠C ≅ ∠F ≅ ∠I

• AB/DE = BC/EF = CA/FD
• DE/GH = EF/HI = FD/GH
• AB/GH = BC/HI = CA/GI

• Triangle ABC ~ Triangle DEF
• Triangle DEF ~ Triangle GHI
• Triangle ABC ~ Triangle GHI

Tips:

• Correspondence Matters: Ensure that the order of the vertices in the similarity statement reflects the correspondence of angles and sides. For example, if ∠A corresponds to ∠D, then vertex A should correspond to vertex D in the similarity statement.
• Check All Criteria: Verify that all corresponding angles are equal and that the corresponding sides are proportional to confirm similarity.