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They overcame Indian pair Joshna Chinappa and Dipika Pallikal Karthik 11-9, 11-8 in a match which lasted 21 minutes.
The final point saw double teapots struck from the Indian pair at the lack of a let, but the umpire's decision was final and the New Zealanders emerged triumphant to the strains of Slice of Heaven.
In a showcase for reactive skill, the duos ducked, dived, weaved and whipped their way around the court in a frenzy.
The face-masked New Zealanders took an early lead in the opening game and never surrendered it, despite India closing the gap on the scoreboard.
Ditto game two.
The Kiwi pair stumbled in their first match of the tournament, losing 10-11, 10-11 to Malaysia's Sivasangari Subramanium and Rachael Arnold, but righted their campaign in the ultimate fashion.
The result means King has secured her third medal of the Games after taking gold in the singles and bronze in the mixed doubles with Paul Coll.