Question

supply the reasons missing from the proof shown below

1. SAS, corresponding parts of
2. SAS, reflexive property
3.SSS, reflexive property
4.SSS, corresponding parts of

Answer 1

SAS REFLECTIVE PROPERTY

Answer 2

Answer: 4. SSS postulate, Corresponding parts of congruent triangles are congruent.

Step-by-step explanation:

In the given picture we have two triangles saring a same side AD.

Now, In ΔBAD and ΔCAD

AB≅AC, AD  bisects BC, then BD≅DC [Definition of segment bisector]

AD≅AD [Reflexive property]

⇒ΔBAD≅Δ∠CAD [SSS postulate]

⇒∠BAD≅∠CAD [Corresponding parts of congruent triangles are congruent.]

• SSS postulate says that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.