Question

part 2 of 3
prove that quadrilateral abcd is
congruent to quadrilateral
efgh

complete the proof below
statement reason
∠a ≅ ∠e,
∠abd ≅ ∠efh, ∠c ≅ ∠g,
bc ≅ fg, cd ≅ gh given
△bcd ≅ △fgh sas
bd ≅ fh
options for bd ≅ fh reason: transitive property, reflexive property, substitution, cpctc, identity property

Explanation:

Step1: Recall CPCTC

CPCTC (Corresponding Parts of Congruent Triangles are Congruent) states that if two triangles are congruent, their corresponding parts (sides, angles) are congruent.

Step2: Apply to the Proof

We know $\triangle BCD \cong \triangle FGH$ (by SAS). So, the corresponding side $\overline{BD}$ (from $\triangle BCD$) and $\overline{FH}$ (from $\triangle FGH$) should be congruent by CPCTC.

Answer:

CPCTC