Answer:
1. CE ≅ PR; TR ≅ FE; ∠F ≅ ∠T; ∠P ≅ ∠C; ∆RPT ≅ ∆ECF
3. ∠G = 34°; ∠E = ∠J = 41°; ∠J = 105°; FD = 16 m; GJ = 19 m; JH = 14 m
Explanation:
You want to know the missing measures in the congruent triangles shown.
Congruence statement
A congruence statement lists the corresponding parts in the same order. Parts with the same position(s) in the list are the ones that are congruent. For triangles, this relation is abbreviated CPCTC: Corresponding Parts of Congruent Triangles are Congruent.
1. ∆CFE ≅ ∆PTR
Corresponding parts are ...
Corresponding segments will have corresponding endpoints.
(a) CE ≅ PR
(b) TR ≅ FE
(c) ∠F ≅ ∠T
(d) ∠P ≅ ∠C
(e) ∆RPT ≅ ∆ECF
3. ∆DEF ≅ ∆GHJ
Corresponding parts are ...
- D and G . . . 34°
- E and J . . . 180° -34° -105° = 41°
- F and H . . . 105°
- DE and GJ . . . 19 m
- EF and JH . . . 14 m
- FD and HG . . . 16 m
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