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CPCTC
Name: _________________________________________
Determine if the two triangles are congruent using the triangle congruence theorems. If the triangle are
congruent, use CPCTC to identify congruent parts of the triangles.
1)
2)
D
B
A
C
ΔABC ≅ Δ ______ by ________. Therefore,
ΔTSR ≅ Δ ______ by ________. Therefore,
∠ACB ≅ ∠_________ by ____________.
∠S ≅ ∠_________ by ____________.
3)
4)
ΔBAC ≅ Δ ______ by ________. Therefore,
ΔNML ≅ Δ ______ by ________. Therefore,
̅̅̅̅ ≅ _________ by ____________.
𝐴𝐶
̅̅̅̅ ≅ _________ by ____________.
𝐿𝑀
5)
6)
T
R
S
ΔBCA ≅ Δ ______ by ________. Therefore,
ΔJKL ≅ Δ ______ by ________. Therefore,
∠B ≅ _________ by ____________.
∠KJL ≅ _________ by ____________.
7) Given ΔABC ≅ ΔRST
8) Given ΔHJK ≅ ΔMNQ
Angles:
Sides:
Angles:
∠A ≅ _______
̅̅̅̅
𝐴𝐵 ≅ _______
∠J ≅ _______
̅𝐽𝐻
̅̅̅ ≅ _______
∠B ≅ _______
̅̅̅̅ ≅ _______
𝐵𝐶
∠H ≅ _______
̅̅̅̅ ≅ _______
𝐻𝐾
∠C ≅ _______
̅̅̅̅
𝐴𝐶 ≅ _______
∠K ≅ _______
̅̅̅
𝐾𝐽 ≅ _______
9) Given ΔLMN ≅ ΔXYZ
Sides:
10) Given ΔABC ≅ ΔJKL
Angles:
Sides:
Angles:
Sides:
_______ ≅ _______
_______ ≅ _______
_______ ≅ _______
_______ ≅ _______
_______ ≅ _______
_______ ≅ _______
_______ ≅ _______
_______ ≅ _______
_______ ≅ _______
_______ ≅ _______
_______ ≅ _______
_______ ≅ _______
11) If ABC  DEF, and AB = 15, BC = 20, and FE = 3x – 7, then x = ?
12) If ABC  DEF and DE = 10, EF = 13, DF = 16, and AC = 4x – 8, then x = ?
13) If RST  LMN and RT = 3.5, RS = 8.2, TS = 9.1, and ML = 2x, then x = ?