Question

GEOMETRY PROOFS!

Answer 1

From the given figure ,

RECA is a quadrilateral

RC divides it into two parts

From the triangles , ∆REC and ∆RAC

RE = RA (Given)

angle CRE = angle CRA (Given)

RC = RC (Common side)

Therefore, ∆REC is Congruent to ∆RAC

∆REC =~ ∆RAC by SAS Property

⇛CE = CA (Congruent parts in a congruent triangles)

Hence , Proved

Additional comment:-

SAS property:-

"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)

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Answer 2

Step-by-step explanation:

Given:

• RA ≅ RE
• EC ≅ AC

Also we observe that:

• RC ≅ CR as common side of both triangles

Since three sides of ΔREC and ΔRAC are congruent:

• ΔREC ≅ ΔRAC by SSS