Question #21016

what do u need to prove triangle abc is congruent to triangle adc by side angle side postulate

Expert's answer

Task:

What do you need to prove triangle ABC is congruent to triangle ADC by Side-Angle-Side postulate?

Solution:

SAS (Side-Angle-Side): If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.



In this case you can prove congruence using SAS in several ways:

1. AD=AB,α=γAD = AB, \alpha = \gamma

2. CD=CB,β=δCD = CB, \beta = \delta

3. AD=CB,α=δAD = CB, \alpha = \delta

4. CD=AB,β=γCD = AB, \beta = \gamma

Answer:

1. AD=AB,α=γAD = AB, \alpha = \gamma

2. CD=CB,β=δCD = CB, \beta = \delta

3. AD=CB,α=δAD = CB, \alpha = \delta

4. CD=AB,β=γCD = AB, \beta = \gamma

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