In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?
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Answer:
The Congruent angles are
∴ ∠LAM ≅ ∠LBM ........CPCTC
∠LMA ≅ ∠LMB .........CPCTC
Step-by-step explanation:
Given:
∆ALM ≅ ∆BLM by Side-Angle-Side (SAS)
To Find:
Which angles are congruent by CPCTC. = ?
Solution:
In ΔALM and ΔBLM
AL ≅ BL ……….{Given}
∠ALM ≅ ∠BLM …………..{Given}
LM ≅ LM ……….{Reflexive Property}
ΔALM ≅ ΔBLM ….{Side-Angle-Side test}
If two triangles are congruent then corresponding angles are congruent by Corresponding Parts of Congruent Triangles are Congruent.
The Congruent angles are
∴ ∠LAM ≅ ∠LBM ........CPCTC
∠LMA ≅ ∠LMB .........CPCTC
Answer:
LAM ≅ ∠LBM ........CPCTC
∠LMA ≅ ∠LMB .........CPCTC
Step-by-step explanation: