If ΔΔQRS ΔΔTUV, which congruences are true by CPCTC? Check all that apply.A.Q UB.QS TVC.R UD.RS TUE.QR TUF.S V
Question
If ΔΔQRS ΔΔTUV, which congruences are true by CPCTC? Check all that apply.
- A. Q UB.
- Q S TVC.
- R UD.
- R S TUE.
- Q R TUF.
- S V
Solution
Given that triangle QRS is congruent to triangle TUV, by the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) theorem, the following congruences are true:
A. Q is not congruent to U because they are corresponding vertices of the congruent triangles.
B. QS is congruent to TV because they are corresponding sides of the congruent triangles.
C. R is not congruent to U because they are corresponding vertices of the congruent triangles.
D. RS is congruent to TU because they are corresponding sides of the congruent triangles.
E. QR is congruent to TU because they are corresponding sides of the congruent triangles.
F. S is not congruent to V because they are corresponding vertices of the congruent triangles.
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