Question

If △CFE≅△PTR, complete each of the following statements:

Answer 1

Based on the definition of congruent triangles, the statements will be completed as follows:

• CE ≅ PR
• TR ≅ FE
• ∠P ≅ ∠C
• ∠F ≅ ∠T
• △FEC ≅ △TRP
• △RPT ≅ △ECF

Recall the following about Congruent Triangles:

• The three angles of one triangle is congruent to the three corresponding angles in another triangle if both triangles are congruent triangles.

• The three sides of one triangle is congruent to the three corresponding sides in another triangle if both triangles are congruent triangles.

Given that △CFE≅△PTR, thus:

• CE corresponds to PR, therefore CE ≅ PR
• FE corresponds to TR, therefore FE ≅ TR
• CF corresponds to PT, therefore CF ≅ PT
• ∠P corresponds to ∠C, therefore ∠P ≅ ∠C
• ∠T corresponds to ∠F, therefore ∠T ≅ ∠F
• ∠R corresponds to ∠E, therefore ∠R ≅ ∠E

Thus, based on the definition of congruent triangles, the statements will be completed as follows:

• CE ≅ PR
• TR ≅ FE
• ∠P ≅ ∠C
• ∠F ≅ ∠T
• △FEC ≅ △TRP
• △RPT ≅ △ECF

Learn more about congruent triangles on:]

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