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If ΔCFE ≅ ΔPTR, complete each of the following statements. Match each blank to the correct description:

1. segment CE:
2. segment TR:
3. segment CF:
4. ∠P:
5. ∠E:
6 ∠F:
7. ΔRPT:
8. ΔFEC:
9.ΔRTP:

a. segment FE
b. segment PR
c. ∠T
d. segment PT
e. ΔECF
f. ΔEFC
g. ∠C
h. ΔTRP
i. ∠R

1 Answer

3 votes

Final answer:

When triangles CFE and PTR are congruent, their corresponding segments and angles match. The congruent segments and angles have been listed according to the correct descriptions, indicating their equivalence in the congruent triangles.

Step-by-step explanation:

If ∆CFE ≅ ∆PTR, it means that the two triangles are congruent and therefore, corresponding parts of the triangles are equal in length and angle measurement. Here's the completed list using the correct descriptions for the corresponding parts:

  1. segment CE: e. ∆ECF
  2. segment TR: a. segment FE
  3. segment CF: b. segment PR
  4. ∠P: g. ∠C
  5. ∠E: i. ∠R
  6. ∠F: c. ∠T
  7. ∆RPT: h. ∆TRP
  8. ∆FEC: f. ∆EFC
  9. ∆RTP: e. ∆ECF

User Stephen Murby
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