Question

In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?

Answer 1

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